What is the ratio of the amounts of Rs 40000 after 9 years and Rs 44000 after 7 years at an interest...........

Quantitative Aptitude (RBI Grade B) Compound Interest

What is the ratio of the amounts of Rs. 40000 after 9 years and Rs. 44000 after 7 years at an interest of 10% per annum compounded annually?

This questions was previously asked in

RBI Grade B (16 August 2018)

9 : 7

10 : 11

11 : 10

121 : 100

100 : 121

To find the ratio, let's first calculate the compound amounts.

- Amount after 9 years for Rs. 40,000:

- Formula: A = P(1 + r/n)^(nt)

- P = 40,000, r = 10% = 0.10, n = 1 (annually), t = 9

- A = 40,000(1 + 0.10)^9 = 40,000 × (1.10)^9 ˜ 94,868

- Amount after 7 years for Rs. 44,000:

- P = 44,000, t = 7 (all other values the same)

- A = 44,000(1 + 0.10)^7 = 44,000 × (1.10)^7 ˜ 85,938

- Ratio:

- Ratio = 94,868 : 85,938 ˜ 11 : 10

- Based on calculations:

- Option 3: 11 : 10

Correct Answer: Option 3, 11 : 10

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