The simple interest on a certain sum for 8 months at 4 per annum is Rs 129 less than the simple inte...........

Quant (SSC) Simple Interest

The simple interest on a certain sum for 8 months at 4% per annum is Rs. 129 less than the simple interest on the same sum for 15 months at 5% per annum. What is the sum?

Rs. 2580

Rs. 2400

Rs. 2900

Rs. 3600

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Explanation:

Let the sum be ? x.
Now, According to the question,
x × 5 × 15/12 /100 - x × 4 × 8/12 /100 = 129
⇒ 75x /12 - 32x /12 = = 129 × 100
⇒ 43x = 12900 × 12
⇒ x = 12900 × 12 /43 = 3600