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A certain sum of Rs. 9600 amounts to Rs. 10480 at 9.25% per annum simple interest in certain time “T”. What is the simple interest on the sum of Rs. 8400 at the same rate for the time “6T/10”?


1. Rs. 400
2. Rs. 420
3. Rs. 441
4. Rs. 462

1 Answer

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Best answer
Correct Answer - Option 4 : Rs. 462

Given

Principal = Rs. 9600

Time period = T years

Rate of interest = 9.25%

Amount = Rs. 10480

Formula used

simple interest = (Principal × Rate × Time)/100

Calculation

⇒ Rs. 10480 = Rs. 9600 + [(9600 × T × 9.25)/100]

⇒ Rs. 880 = 888T

⇒ T = 880/888

⇒ T = 110/111

⇒ Simple interest = [(8400 × 110/111 × 6/10 × 9.25)/100]

⇒ Simple interest = [(8400 × 66/111 × 9.25)/100]

⇒ Simple interest = Rs. 462

∴ the simple interest is Rs. 462

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