CUET Mathematics Statistics & Applications > Financial Math PYQs

Ram invested Rs.20,000 in a mutual fund in the year 2012. The value of the mutual fund increased to Rs.32,000 in the year 2017, then the compound annual growth rate of his investment is (Given that $(1.6)^{\frac{1}{5}} = 1.098$)

Mr. Vishnu has an initial investment of Rs.80,000 in an investment plan. After 3 years, it has grown to Rs.1,00,000, then his rate of return is

Choose the correct statement about Sinking Fund?

Choose the correct statement about CAGR(compound annual growth rate)?

A machine costing Rs.2,00,000 has a useful life of 5 years.The estimated scrap value is Rs.20,000. By using straight line method, the annual depreciation is

The average cost function for a commodity is given by $AC = 0.05x^2 - 5x + 1000 + \frac{3000}{x}$ in terms of output x. The fixed cost is

Match **List-I** with **List-II** | List-I | List-II | |---|---| | (A) Perpetuity | (I) A person deposits a fixed amount every year in his bank account to renovate his house after 10 yrs. | | (B) EMI | (II) A person depositis an amount regularly in his bank account and withdraws in case of need. | | (C) Sinking Fund | (III) A fixed amount is debited from the bank account of a person, every month, against a personal loan. | | (D) Saving Account | (IV) A person purchased a house and rents it out. | Choose the **correct** answer from the options given below:

The effective rate, which is equivalent to a nominal rate of 12% compounded semi-annually, is

Ajesh purchased a printer ₹ 15,000. The printer is estimated to have a scrap value of ₹ 3,000 after a span of 6 years. Then the book value of the printer at the end of 3 years will be:-

A company purchased a machine for ₹ 15,00,000 and its effective life is estimated to be 10 years. A sinking fund is created for replacing the machine at the end of its effective life when its scrap value is ₹ 2,42,000. What amount company should provide, at the end of every year out of profits for the sinking fund if it accumulates an interest of 5% per annum? [Given(1.05)¹⁰=1.629]

A man plans to take a housing loan of Rs 99,53,000 from a bank costing 18% per annum compounded monthly. The loan is to be paid back in 30 years in equal monthly installments (EMI). The EMI by reducing balance method is: [Given $(1.015)^{-360} = 0.0047$]

A startup company invested ₹ 5,00,000 in shares for 4 years. The value of the investment was ₹ 5,50,000 at the end of first year, ₹ 5,25,000 at the end of third year, and on maturity, the final value stood ₹ 6,25,000. The CAGR on the investment will be :- [Given : $(1.25)^{\frac{1}{4}} = 1.06$]

The effective rate per annum equivalent to a nominal rate of 8% compounded semi-annually is

A machine costing Rs 50,000 has a useful life of 4 years.The estimated scrap value is Rs 10,000 . The rate of depreciation per annum is:

If CAGR stands for Compound Annual Growth Rate, F.V stands for final value of an investment, P.V stands for present value of an investment and n is the number of years then

A machine costing ₹ 3,00,000 will have its scrap value of ₹ 50,000. The company at present plans to put ₹ 36,650 per annum at the end of each year in a sinking fund at the rate 5% per annum for the replacement of the machine after its useful life. Suppose the new machine will cost ₹ 4,00,000 at that time, then the useful life (approx.) of the machine is : [Given: $(1.4775)^{1/8} = 1.05$]

The amount of money needed to ensure for a prize of ₹ 5000 at the begining of each year indefinitely if money is worth 5% compounded annually is:

Maneesh took a loan of ₹ 9,00,800 from bank at an interest rate of 6% per annum for 10 years. If she has to pay the loan back with the help of equal monthly installments (EMI). Then, the EMI using reduced balance method is (approx): [Given: $(1.005)^{-120}=0.5496$]

The effective rate of return equivalent to a nominal rate of 12% per annum compounded quarterly is: [Given that: $(1.03)^4 ≈ 1.1255$]

An investment of ₹ 3,00,000 becomes ₹ 4,50,000 in 5 years, then the compound annual growth rate (CAGR) is equal to: [Given that: $(1.5)^{1/5} = 1.084$]

At what rate of interest will the present value of a perpetuity of ₹ 600 payable at the end of every 3 months be ₹ 18,000?

The annual depreciation of a car is ₹ 40,000. If the scrap value of the car after 15 years is ₹ 50,000, then the original cost of the car using linear method is

Ram wishes to purchase a house for ₹ 15,00,000 and made a down payment of ₹ 5,00,000. If he can amortize the balance at 9% per annum compounded monthly for 25 years, then his EMI is: [Given $(1.0075)^{300} ≈ 9.41$]

The cost of a property appreciates by 10% of the previous month every month. If in end march 2024 it was ₹ 13.31 lakh, when was it ₹ 10 lakh?

A piece of machinery is bought for Rs. 50,000. In the first year, it depreciates by 15%, and in each subsequent year, the depreciation rate increases by 5% from the previous year. The value of machinery after 3 years will be:

A man takes a personal loan worth Rs.3,00,000 at an interest rate of 6% per annum compounded monthly to be repaid by equal monthly installments in 3 years, then the EMI using flat rate method will be:-

The effective rate equivalent to a nominal rate of 12% compounded quarterly is: (Given $(1.03)^4=1.1256$)

If an investment value get doubled in 10 years then its compound annual growth rate (CAGR) is: (Given $2^{1/10} = 1.0729$)

Ramesh plans to save some amount required after 10 years for higher studies of his son. He expects the cost of these studies to be Rs.1,00,000. How much should he save at the beginning of each year to accumulate this amount at the end of 10 years, if the interest rate is 12% compounded annually. (Given $(1.12)^{11}=3.477$)

The scrap value of a machine costing ₹ 75,000 after 4 years of use is ₹ 25000. Using straight line method the annual depreciation of the machine is:

A trust invites a deposit of lumpsum amount from individual so that annual scholarship of Rs.5000 is paid. Rate of interest is 5% per annum. If the scholarship is to start at the end of this year then the amount needed to deposit to Trust is:

Mrs Rathna invested Rs 2 lakh in an enterprise for 5 years. Her compound annual growth rate (CAGR) turned out to be 20.5%. The end balance would be: (given $(1.205)^5=2.54)$

The amount to which ₹ 5000 will accumulate at the effective rate of 4% for 4 years and 5% for 2 years is

Every year the price of a motorcycle depreciates by Rs. 15000. After 12 years its price has become Rs. 50000. Then its original cost was:

Rakshita plans to buy a house for Rs.1,00,00,000 with down payment of 20% of the value of house paid by her mother, Rest of the amount she wishes to pay in 25 years by equal monthly installment at an interest of 9% per annum compounded monthly. Then the EMI paid by her is: (Given $(1.0075)^{300}$ = 9 )

A charity organization has a fund of Rs.2,00000 to provide annual grants to students. The grant amount each year is Rs.15,000. The fund earns an interest rate of r% per annum. If the interest earned is used entirely to provide the grants, then the annual interest rate r is:

Mr. Jayesh plans to save amount for higher studies of his daughter, required after 10 years. How much amount should he save at the beginning of each year to accumulate Rs.1,00,000 at the end of 10 years. If rate of interest is 12% compounded annually? [Given $(1.12)^{11} = 3.5$]

Mohini purchases a house worth Rs. 50 lakhs and makes a down payment of Rs. 11.2 lakhs. She pays the remaining amount on monthly EMI using a reducing balance method. The bank charges 6% per annum compounded monthly for a tenure of 25 years. Her EMI is: [Given: $(1.005)^{-300} \approx 0.224$]

As per the graph given below: <img src="https://balti.afterboards.in/04rh2eS7VMjqGKY" width="200px"/> Match List-I with List-II | List-I | List-II | |---|---| | (Function/Area/point) | (Representation) | | (A) Consumers Surplus | (I) y=g(x) | | (B) Supply function | (II) v | | (C) Demand function | (III) s | | (D) Equilibrium point | (IV) y=f(x) | Choose the correct answer from the options given below:

If an asset costs Rs. 50,000 with an estimated useful life of 6 years and a scrap value of Rs. 5000. Then by using a linear depreciation method, the annual depreciation of the asset will be:

Rs. 2,50,000 cash is equivalent to a perpetuity of Rs.7500 payable at the end of each quarter. Then the rate of interest is

Ram had invested Rs. 15,000 in a mutual fund and the value of the investment at the time of redemption was Rs. 25,000. If the compound annual growth rate (CAGR) is 8.88%, then the number of years for which Ram has invested the amount is: [Given: $\log 1.089 \approx 0.0370$ and $\log 1.667 \approx 0.2220$]

A person has set up a sinking fund in order to have Rs. 10,00,000 after 10 years for his child education. The amount should put bi-annually into account paying 5% per annum compounded semi-annually is: [Given $(1.025)^{20} = 1.6386$]

Anisha invested Rs.20000 in a mutual fund in the year 2016, which increased to Rs.36000 in the year 2024. The percentage compounded annual growth rate(CAGR) of her investment is: (Given: $(1.8)^{1/8} = 1.076$)

At what rate will the present value of a perpetuity of Rs.1000 payable at the end of each quarter be Rs.50000?

The annual depreciation of an asset is independent of:-

The amount should be deposited at the end of every 6 months to accumulate Rs.50,000 in 8 years if money is worth 6% p.a. compounded semiannually, is: [Given $(1.03)^{16} = 1.6047$]

Vatsala buys a car for Rs.7,00,000 and pays upfront Rs.2,50,000 through her credit card. The balance is to be paid in 5 years by equal monthly installments at an interest of 7% per annum as reducing balance. The EMI to be paid by Vatsala will be :- [given (1.0058)⁻⁶⁰=0.7068]

A man wishes to ensure that he gets Rs. 75,000/- at the end of each year indefinitely. The amount that he invest now to produce the desired cash flow, if money is worth 2.5% compounded annually is:

Ajesh has set up a sinking fund in order to have ₹ 10,00,000 after 10 years for his son's education. The amount should be set aside at the end of every 6 months into an account paying 5% per annum compounded half yearly is: [given $(1.025)^{20} = 1.6386$]

A machine costing ₹ 36000 has an effective life of 5 years with scrap value of ₹ 5000 following a linear method of depreciation. Which of the following statements are **correct**? (A) The value of the machine after 1 year is ₹ 31000 (B) The value of the machine after 2 years is ₹ 23600 (C) The value of the machine after 3 years is ₹ 18400 (D) The value of the machine after 4 years is ₹ 11200 Choose the **correct** answer from the options given below:

At what rate of interest will the present value of a perpetuity of ₹ 500 payable at the end of every 6 months be ₹ 20,000?

The declared rate of return compounded semi annually equivalent to the effective rate of return 10.25% per annum is:

Rahul invested ₹ 20000 in a mutual fund in year 2018. If the value of mutual fund increased to ₹ 32000 in year 2023. Then the compound annual growth rate of his investment is: $[given \, that(1.6)^{1/5} = 1.098]$

Anush takes a loan of ₹ 150000 @ 16% annual interest for 5 years. His EMI (Equally Monthly Installment) on monthly basis under flat rate system is:

A machine costing ₹ 1,00,000 has a useful life of 5 years. The estimated scrap value is ₹ 20,000. Using straight line method the annual depreciation is

Kavya takes a personal loan of ₹ 10,00,000 at the rate of 12% per annum for 5 years, then the EMI by using flat rate method is

The term of the perpetuity is

Which one of the following statement is **incorrect** about sinking fund?

Mr. X wishes to purchase a flat for Rs. 44,65,000 with a down payment of Rs. 10,00,000 and balance in equated monthly installments (EMI) for 25 years. If the bank charges 6 % per annum compounded monthly, the EMI is: [Given: $(1.005)^{300} =4.4650$]

Which of the following is not correct about the Compound Annual Growth Rate (CAGR)?

A money lender charges Rs10 for Rs100 per month in advance then effective rate of interest per annum charged by money lender is: [given $\left(\frac{10}{9}\right)^{12} \approx 3.541$]

Which of the following statements are correct? (A) A fund which is created to accumulate money over the years to discharge a future obligation is called a sinking fund. (B) The amount or future value of perpetuity is well-defined. (C) The sinking fund be used in any emergency. (D) An equated monthly installment is a fixed payment made by a borrower to a lender at a specific date every month to clear off the loan. Choose the correct answer from the options given below:

A motorcycle has a scrap value of Rs. 22,500 after 15 years of its purchase. If the annual depreciation charge is Rs. 8,500, then the original cost by linear method is:

At what rate of interest will the present value of a perpetuity of Rs. 1000 payable at the end of every six months be Rs. 40000?

Anshu takes a personal loan of ₹10,00,000 at the rate of 12% per annum for 2 years, then the EMI by using flat rate method is

A mobile phone costing ₹50000 has a useful life of 5 years. If the annual depreciation is ₹5000, then by using a linear method, its scrap value is

What sum of money is needed to invest now, so as to get ₹5000 at the beginning of every month forever, if the money is worth 6% per annum compounded monthly?

Which of the following statements are correct? (A) In the sinking fund a fixed amount at regular intervals is deposited. (B) Sinking fund is a long-term account which can be closed any time. (C) In a saving account, any amount, any time can be deposited. (D) Sinking fund can be used only for the purpose it was created. Choose the correct answer from the options given below:

Which of the following is correct about the compound annual growth rate(CAGR)?

The number of years required for a sum of money to get tripple at the effective rate of 4% is : (Given $(1.04)^{28} = 3)$

An automobile dealer wishes to buy four luxury cars of different brands given in the table below with some down payment and balance in equal monthly installments (EMI) for 10 years. The bank charges 9% interest per annum compounded monthly. $\left( {Given } \frac{0.0075 \times(1.0075)^{120}}{(1.0075)^{120}-1} = 0.01266\right)$ | Luxury Car | Price of the Car (in Rs.) | Down payment (in Rs.) | |---|---|---| | P | 25,00,000 | 5,00,000 | | Q | 35,00,000 | 12,00,000 | | R | 45,00,000 | 15,00,000 | | S | 42,00,000 | 15,00,000 | Match List-I with List-II | List-I | List-II | |---|---| | Luxury Car | EMI (in Rs.) | | (A) P | (I) 34,182 | | (B) Q | (II) 37,980 | | (C) R | (III) 29,118 | | (D) S | (IV) 25,320 | Choose the correct answer from the options given below:

Mr. Mittal invested Rs. 20,000 in a mutual fund in the year 2019. The value of the mutual fund increased to Rs. 32,000 in the year 2024. The compound annual growth rate of his investment is: [Given $(1.6)^{1/5} = 1.098$]

Which of the following is NOT correct about "Sinking Fund"?

The value of a depreciable asset at the end of its useful life is called ____.

What sum of money is needed to invest now, so as to get Rs. 5000 at the beginning of every month forever, if the money is worth 6 % per annum compounded monthly?

A person has taken a loan of Rs. 40,000 for 3 months from a lender who has deducted Rs.2,000 as interest at the time of lending. Then the effective rate of interest charged per annum by lender is (given:$(1.0526)^4 = 1.2275):$

A person invested ₹ 2,50,000 in a fund. At the end of the year, the value of the fund is ₹ 3,00,000. If the market price is the same at the end of the year, then the nominal rate of return is

The fund created to accumulate money over the years to discharge a future obligation is known as:

If a moneylender charges 'interest' at the rate of 10 rupees per 100 rupees per half year, payable in advance, then the effective rate of interest per annum is

Mr. X purchased a house from a company for ₹ 7,00,000 and made a down payment of ₹ 1,50,000. He repays the balance in 25 years by equal monthly installments at 9 % per annum compounded monthly. The equated monthly installment (EMI) is: [Given that : (1.0075)⁻³⁰⁰ = 0.106]

Shyam invested ₹ 2,00,000 in 2019 for 5 years. If the compound annual growth rate (CAGR) for his investment is 10 %, then the end balance of his investment is:

If $C$ is the original value of the asset, $S$ is the scrap value, n is the useful life of the asset and $D$ is the annual depreciation, then

Which of the following are similarities between the sinking fund and the savings account? (A) The sinking fund and the savings account are both financial tools. (B) Both can be used in any emergency. (C) They both involve setting aside an amount of money for the future. (D) Both are long-term accounts which can be closed any time. Choose the correct answer from the options given below:

A T.V. panel costing Rs 18000 has a useful life of 12 years. If the annual depreciation is Rs 1000, then its scrap value by linear method is:

Which of the following is NOT correct?

A person has invested Rs.20,000 in 2020 for 5 years. If CAGR for his investment is 11.84%. The end balance of his investment is (Given $(1.1184)^5 \approx 1.7498$)

Mr. X wishes to purchase a flat for Rs. 44,60,800 with a down payment of Rs 10,00,000 and balance in equal monthly installments (EMI) for 20 years. If bank charges 7.5% per annum compounded monthly, then the EMI is: [Given that $(1.00625)^{240} \approx 4.4608$]

A measure of an average yearly growth of an investment over a certain time period when returns are reinvested is

Which of the following is not the specification of the Sinking Fund?

Mr. X invested Rs. 4,00,000 in shares for 5 years. The value of this investment was Rs. 4,50,000 at the end of the second year, Rs. 490000 at the end of the third year and on maturity, the final value stood at Rs. 6,00,000. The compound annual growth rate of this investment is: [Given that: $(1.5)^{1/5} = 1.084]$

A person has purchased a home for Rs.10,00,000 with down payment of Rs 2,00,000. He amortize the balance at 9% per annum compounded monthly for 25 years then the equal monthly installment (EMI) is: [Given that: $\frac{(1.0075)^{300} - 1}{(.0075)(1.0075)^{300}} = 119.1616]$

A motorbike costing Rs. 1,25,000 has a scrap value of Rs. 25,000. If the annual depreciation charge is Rs. 12,500, then the useful life of the bike is(by using linear method):

At what rate of interest will the present value of a perpetuity of Rs. 1000 payable at the end of every six months be Rs. 20000?

Which of the following are correct about equated monthly installments (EMI)? (A) The EMI depends on principal borrowed, rate of interest and tenure of the loan. (B) It is a fixed amount made by borrower to the lender every month. (C) The interest remains constant for every EMI in reducing balance method. (D) As we pay off our loan, the outstanding principal amount decreases with every EMI in reducing balance method. Choose the correct answer from the options given below:

The level of production where the revenue from sales is equal to the cost of production and marketing is known as

A person has an initial investment of ₹ 25000 in an investment plan. After 2. years it has grown ₹ 30000, then the rate of return on his investment is

Which of the following are NOT correct about "Sinking Fund"? (A) It does not have any specific purpose. (B) It can be used in any emergency. (C) Any amount, any time can be deposited in it. (D) It is set up for a particular upcoming expense. Choose the **correct** answer from the options given below:

If an investment of Rs. 12000 becomes Rs. 72000 in 4 years, then the compound annual growth rate is:

A machine costing Rs. 25000 has a useful life of 4 years. The estimated scrap value is Rs. 5000. The annual depreciation by linear method is

The present value of a sequence of payments of Rs. 2000 made at the end of every 6 months and continuing forever, if money is worth 8% per annum compounded semi-annually, is:

Mr. X wishes to purchase a house for ₹ 14,51,400 from a bank and decided to repay the loan by equal monthly installments (EMI) in 10 years. If bank charges interest at 9 % per annum compounded monthly, then the EMI is: [Given that $(1.0075)^{120} = 2.4514]$

A sofa set costing ₹ 36000 has a useful life of 10 years. If the annual depreciation is ₹ 3000, then the scrap value by linear method is:

A person invested ₹ 10000 in a stock of a company for 6 years. The value of his investment at the end of each year is given in the following table: | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 | |---|---|---|---|---|---| | ₹ 11000 | ₹ 11500 | ₹ 13000 | ₹ 11800 | ₹ 12200 | ₹ 14000 | The compound annual growth rate (CAGR) of his investment is: [Given $(1.4)^{1/6} = 1.058$]

A person wishes to purchase a house for ₹ 39,65,000 with a down payment of ₹ 5,00,000 and balance in equal monthly installments (EMI) for 25 years. If bank charges 6% per annum (compounded monthly), then EMI on reducing balance payment method is: [Given $(1.005)^{300} = 4.465$]

Which of the following are correct about the Sinking Fund? (A) It is a fixed term account. (B) It is a set-up for a particular upcoming expense. (C) A fixed amount at regular intervals is deposited in the Sinking Fund. (D) It can be used in any emergency. Choose the correct answer from the options given below:

An annuity in which the periodic payment begin on a fixed date and continue forever is called

The original value of an asset minus the accumulated depreciation at a given date is known as

At 6% converted quarterly, the present value of a perpetuity of ₹ 900 payable at the end of each quarter is:

If $r_{eff}$ = effective rate of interest, $r$ = nominal rate of interest and $m$ = number of conversion periods per year, the relationship between nominal rate and effective rate of interest is:

Let $P, I$ and $n$ be the principal of the loan, the total interest on the principal and number of months in the loan period respectively, then the EMI by Flat Rate Method is:

Which of the following statements about the Sinking Fund are correct? (A) It is a fund established by a business entity by setting aside revenue over a period of time to fund a future capital expense. (B) It is a fund established by a business entity by setting aside revenue over a period of time to fund a future repayment of a long-term debt. (C) It is set up for any purpose that it may serve. (D) It is a fund that is accumulated for the purpose of paying off a financial obligation at some future designated date. Choose the correct answer from the options given below:

Which of the following statements are correct about the Compound Annual Growth Rate (CAGR)? (A) It can be used to compare historical returns on different investment portfolios. (B) It helps smooth returns when growth rates are expected to be volatile and inconsistent. (C) It is unable to track the performance of various business measures of one or multiple companies alongside one another. (D) It can be used to calculate the average growth of a single investment. Choose the correct answer from the options given below:

On 1st April 2024, person 'X' purchased a machinery costing ₹ 65000 and spent ₹ 10000 on its installation. The estimated effective life of the machinery is 5 years with a scrap value of ₹ 10000. The annual depreciation using the straight-line method with the accounting year ending on 31st March 2025 is:

Which of the following is correct about the Sinking Fund?

Which of the following is correct about the compound annual growth rate?

If the price of a machinery costing ₹ 25000 is expected to have a useful life of 4 years and a scrap value of ₹ 5000. Then the annual depreciation by linear method is:

Mr. 'X' wishes to purchase a house for ₹ 49,65,000 with a down payment of ₹ 15,00,000 and balance amount in EMI for 25 years. If bank charges 6% per annum compounded monthly. Then the EMI is: [Given that $(1.005)^{300} = 4.4650]$

If the money is worth 8% per annum compounded semi-annually, then the present value of a sequence of payments of ₹1,000 made at the end of every 6 months and continuing forever, is:

A person invested ₹ 20000 in a mutual fund in year 2018. The value of the mutual fund increased to ₹ 32000 in year 2023. The compound annual growth rate of his investment is: [Given that $(1.6)^{1/5} = 1.098]$

For which one of the following purposes is CAGR (Compounded Annual Growth Rate) <b>not</b> used ?

A flower vase costs ₹ $36,000$. With an annual depreciation of ₹ $2,000$, its cost will be ₹ $6,000$ in $_____$ years.

Ms. Sheela creates a fund of ₹ $1,00,000$ for providing scholarships to needy children. The scholarship is provided in the beginning of the year. This fund earns an interest of $r \%$ per annum. If the scholarship amount is taken as ₹ $8,000$, then $r=$

A Multinational company creates a sinking fund by setting a sum of ₹ $12,000$ annually for $10$ years to pay off a bond issue of ₹ $72,000$. If the fund accumulates at $5 \%$ per annum compound interest, then the surplus after paying for bond is : (Use $\left.(1.05)^{10} \approx 1.6\right)$

For an investment, if the nominal rate of interest is $10 \%$ compounded half yearly, then the effective rate of interest is :