CUET Mathematics: Statistics & ApplicationsFinancial Math. Free, no login required.

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:

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?