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

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.

$\left( {Given } \frac{0.0075 \times(1.0075)^{120}}{(1.0075)^{120}-1} = 0.01266\right)$

Match List-I with List-II

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?