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When difference between compound and simple interest for three years is Rs. 93 at 10% interest per annum, the principal is Rs. ______
Question

When difference between compound and simple interest for three years is Rs. 93 at 10% interest per annum, the principal is Rs. ______

A.

3000

B.

2425

C.

3420

D.

4200

Correct option is A

Given:

Difference between compound interest and simple interest for 3 years = ₹93

Rate of interest per annum = 10%

Time period = 3 years

Formula Used:

Difference between CI and SI for 3 years = P×(R100)2×(300+R)100 P × (\frac{R}{100})^2 × \frac{(300 + R)}{100}​​

Solution:

93=P×(10100)2×(310100) 93=P×10010000×(310100) P=Rs. 3000₹93= P × (\frac{10}{100})^2 × (\frac{310}{100}) \\\ \\₹93= P × \frac{100}{10000} × (\frac{310}{100}) \\\ \\P= \text{Rs. 3000}

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