Question
Suresh lent Rs. 20,000 to Mohit at compound interest of
25% p.a. (compounded annually) for 2 years. Mohit paid interest using simple interest instead. Find the difference in interest.Solution
Amount due at the end of 2 years
= 20000 × {1 + (25/100)}²
= 20000 × (1.25)²
= 20000 × 1.5625
= Rs. 31,250 So, interest due = 31,250 − 20,000 = Rs. 11,250 Simple interest due after two years
= (20,000 × 25 × 2) ÷ 100
= Rs. 10,000 So, loss incurred
= 11,250 − 10,000
= Rs. 1,250
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