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

Mr. Devendra invested ₹ 8,000 in 7% hundred rupee share at ₹ 80. After a year he sold these share at ₹ 75 each and invested in 18% twenty five-rupee shares at ₹ 41 each. Then his annual income from the second investement is:-

Ram took a home loan of ₹ 45,00,000 at the rate of 6% per annum for 25 years. His EMI by using flat rate method is

A person has invested ₹ 20,000 in hundred-rupees bond and redeemable at the end of 10 years at 110, and paying annual dividends at 4%. The yield rate is to be 5% effective. Then which of the following statements are TRUE?

A. The annual dividend is ₹ 800.

B. The annual dividend is ₹ 1200.

C. Redemption price is ₹ 22000.

D. Redemption price is ₹ 20000.

Choose the correct answer from the options given below:

If the cash equivalent of a perpetuity of ₹ 1200 payable at the end of each quarter is ₹ 96,000, then the rate of interest convertible quarterly is:

An electric scooter costs ₹ 36,000 and has a useful life of 15 years. If annual depreciation is ₹ 2,000, Its scrap value by using linear method of depreciation is:

Amit invested ₹ 25,000 in a no-fee fund. After one year, the value of the fund rose to ₹ 30,000 then the nominal rate of return on the investment is

A person has set up a sinking fund in order to have ₹ 20,000 in 10 years for his children's education. The amount to set aside each quarter into an account paying 6% per annum compounded quarterly is: [use $(1.015)^{40} = 1.8140$]

Jemina invested ₹ 50,000 in a mutual fund in 2019. The value of the mutual fund increased to ₹ 80,000 in 2024. The percentage of CAGR (Compound Annual Growth Rate) of her investment is: [Use $(1.6)^{1/5} = 1.098$]

The present value of a perpetuity of ₹x at the end of every 6 months is ₹4,00,000. If money is worth 6% per annum compounded semi-annually, what is value of x ?

Mrs. Soma takes a loan of ₹ 5,00,000 with 10% annual interest rate for 5 years. What will be her EMI under flat rate system?

Match List-I with List-II

Choose the correct answer from the options given below:

The value of an item costing ₹ x depreciates in such a way that after 6 years the value is just a quarter of original value. The annual depreciation is:

Suresh takes a loan of ₹ 4,00,000 with 10% annual interest rate for 5 years on flat rate basis. Which of the following statements are correct ?

A. The total interest on the principal is ₹ 1,00,000.

B. The number of months in loan period is 60.

C. EMI under flat rate system is ₹ 12,000.

D. EMI under flat rate system is ₹ 10,000.

Choose the correct answer from the options given below:

A company has issued a bond having face value of ₹ 70,000, carrying an annual dividend rate of 8% and maturing in 15 years. If the bond is redeemed at par, then which of the following statements are true?

A. The annual dividend is ₹ 5,600.

B. The annual dividend is ₹ 6,300.

C. Redemption price is ₹ 73,000.

D. Redemption price is ₹ 70,000.

Choose the correct answer from the options given below:

A lady invested ₹ 10,000 in a mutual fund and the value of investment at the time of redemption was ₹ 20,000. If the compound annual growth rate (CAGR) for this investment is 25.9 %, then the number of years for which she has invested the amount is:-

[Given that : $2^{1/3}\approx 1.259$ ]

A car costing ₹ 5,00,000 has a useful life of 15 years. The estimated scrap value is ₹ 50,000. The annual depreciation using the straight line method is

If the cash equivalent of a perpetuity of ₹ 300 payable at the end of each quarter is ₹ 24,000, then the rate of interest per annum is:

A father has setup a sinking fund in order to have ₹ 2,40,000 after 10 years for his daughter's marriage. How much amount should he set aside bi-annually into an account paying 5% per annum compounded half-yearly?

[given : $(1.025)^{20}\approx 1.6$]

A company has issued a bond having face value of ₹ 100,000, carrying an annual dividends at 8% and maturing in 12 years. If the prevailing market rate of interest is 9%, then annual dividend is

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

Ram takes a personal loan of ₹ 5,00,000 at the rate of 12% per annum for 3 years. His EMI using a flat rate method is

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

(A) CAGR is calculated by using the final and beginning value of an investment.

(B) CAGR is compounded annual return of an investment.

(C) CAGR describes the effect of compounding.

(D) CAGR can be used to demonstrate and compare the performance of investment advisors.

Choose the correct answer from the options given below:

Which of the following statements are correct about the sinking fund?

(A) It is a fixed term account.

(B) It is set-up for a particular upcoming expense.

(C) In the sinking fund a fixed amount at regular intervals is deposited.

(D) It can be used in any emergency.

Choose the correct answer from the options given below:

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

A. CAGR is a compounded annual return of an investment.

B. CAGR is calculated by using the final and beginning value of an investment.

C. CAGR can be used to calculate and communicate the average growth of a single investment.

D. CAGR can be used to demonstrate and compare the performance of investment advisors.

Choose the correct answer from the options given below:

A machine costing ₹ 2,00,000 has a useful life of 6 years. The estimated scrap value is ₹ 20,000. Using straight line method, the annual depreciation is

At what rate of interest will the present value of a perpetuity of ₹1000 payable at the end of every 6 months be ₹ 20,000?

Which of the following are correct about sinking fund?

A. It is a long-term account which can be closed any time.

B. It is a fixed term account.

C. It can be used only for the purpose it was created.

D. It is set up for a particular upcoming expense.

Choose the correct answer from the options given below:

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

Which of the following approaches is not associated to valuation of bonds ?

A perpetual bond generates an annual return of ₹1,50,000 payable at the end by each year. The present value of this perpetuity if the money is worth 7% per annum will be