Question
Simple interest on a sum of money for 2 years is 1/5th
of the sum, then the interest received in 5 years on same principal will be what time of the principal?Solution
Let the principal be = Rs 100 So simple interest for 2 years = 100 × 1/5 = Rs 20 So interest rate % = 200/(2 ×100)× 100 = 10% Interest received in 5 years = (100 ×10 ×5)/100 = Rs 50 So interest received in 5 years = Rs 50 which is 1/2 of the principal. Alternative method : 2 years interest = 1/5 times of principal 1 year interest = 1/10 times of principal 5 years interest = 1/10 × 5 = 1/2
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