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A sum was put at simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. Find the sum?
  1. Rs. 940
  2. Rs. 700
  3. Rs. 750
  4. Rs. 800
Explanation

Let the principal amount be P.

Let the original rate of interest be R%.

The interest earned at the original rate for 2 years is (P x R x 2)/100.

If the rate were 4% higher, the interest earned would be (P x (R+4) x 2)/100.

The difference in interest earned is Rs. 60, so we can set up the equation:

(P x (R+4) x 2)/100 - (P x R x 2)/100 = 60

Simplifying the equation:

2P(R+4) - 2PR = 6000

Expanding and simplifying:

8P = 6000

Dividing both sides by 8:

P = 750

So, the sum is Rs. 750.

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