Statistics & Applications

Financial Math

Easy

applied

The fomula for calculating compound annual growth rate of an investment is:

[F.V = final value of the investment, P.V = starting value of the investment, n = investment period]

$\left(\frac{P.V}{F.V}\right)^{1/n}-1$

$\left(\frac{F.V}{P.V}\right)^{1/n}+1$

$\left(\frac{F.V}{P.V}\right)^{1/n}-1$

$\left(\frac{P.V}{F.V}\right)^{1/n}+1$

✅ Correct Option: 3

CAGR is the constant annual rate $r$ satisfying $P.V(1+r)^n=F.V$ .

Solving, $1+r=\left(\frac{F.V}{P.V}\right)^{1/n}$ , so $r=\left(\frac{F.V}{P.V}\right)^{1/n}-1$ .

2025: 30 May Shift 2

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

2026: 15 May Shift 1

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

2026: 22 May Shift 1

Jyotsna buys a car for which she makes a down payment of ₹3,50,000 and the balance is to be paid in 3 years by monthly installments of ₹34,000 each. If the financer charges interest at the rate of 12% per annum and uses flat rate method, then the original price of the car is :

2026: 19 May Shift 1

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:

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:

2025: 29 May Shift 2

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:

The fomula for calculating compound annual growth rate of an investment is: [F.V = final value of the investment, P.V = starting value of the investment, n = investment period]

Solution

Related questions:

Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)

The fomula for calculating compound annual growth rate of an investment is:

[F.V = final value of the investment, P.V = starting value of the investment, n = investment period]