Statistics & Applications

Financial Math

Easy

applied

The Periodic payment of ₹ R, in a sinking fund required to accumulate a sum of ₹ A over $n$ periods with interest charged at a rate $i$ per period per rupee is

$A\dfrac{[(1+i)^n+1]}{2i}$

$\dfrac{Ai}{(1+i)^n-1}$

$A+\dfrac{A}{i}$

$A\dfrac{[1+(1+i)^{-n}]}{ni}$

✅ Correct Option: 2

A sinking fund is the future value of an annuity: $A = R\cdot\frac{(1+i)^n-1}{i}$ . Solving for the periodic payment gives $R = \frac{Ai}{(1+i)^n-1}$ .

2025: 3 June Shift 2

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 $(1.6)^{\frac{1}{5}} = 1.098$ )

2026: 18 May Shift 1

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.

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

Choose the correct answer from the options given below:

2025: 14 May Shift 1

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 $(1.005)^{300} = 4.465$ ]

2026: 19 May Shift 1

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 ?

2026: 30 May Shift 2

Scrap value of a machine is one-tenth of its actual cost. If the estimated life of the machine is ten years and the annual depreciation under linear method is ₹45000, then the cost of the machine is

2026: 18 May Shift 2

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:

The Periodic payment of ₹ R, in a sinking fund required to accumulate a sum of ₹ A over nnn periods with interest charged at a rate iii per period per rupee is

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

The Periodic payment of ₹ R, in a sinking fund required to accumulate a sum of ₹ A over $n$ periods with interest charged at a rate $i$ per period per rupee is