A sum of money amounts to Rs. 767 in 3 years, and to Rs. 806 in 4 years on simple interest at 6% annum. What is the sum?

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 3)
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  1. Rs. 600
  2. Rs. 560
  3. Rs. 675
  4. Rs. 650

Answer (Detailed Solution Below)

Option 4 : Rs. 650
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Detailed Solution

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Given:

A sum of money amounts to Rs. 767 in 3 years, and to Rs. 806 in 4 years on simple interest at 6% annum.

Calculation:

Interest for 1 year = 806 - 767

⇒ 39

Interest in 3 years = 39 × 3

⇒ 117

So, sum = 767 - 117

⇒ 650

∴ The sum is Rs. 650.

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