A person invests Rs. 9,840 at 5% per annum simple interest to obtain a total amount of Rs. 12,300. For how many years did he invest the sum?

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 3)
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  1. 5 years
  2. 4.5 years
  3. 3.5 years
  4. 3 years

Answer (Detailed Solution Below)

Option 1 : 5 years
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Detailed Solution

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Given:

A person invests Rs. 9,840 at 5% per annum simple interest to obtain a total amount of Rs. 12,300

Formula used:

Simple interest = P × R × T / 100 [ P = principal, R = rate of interest, T = time]

Calculation:

Let,T = time 

Simple interest got by the person is 12300 - 9840 = Rs 2460

As per the formula,

 2460 = 9840 × 5 × T / 100

⇒ T = 2460 /492

= 5 years

∴ The correct option is 1

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