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A sum of Rs15,000 is lent at 16% p.a. compound interest. What is the difference between the compound interest for the second year and the third year?
Rs 445.44
Rs 544
Rs 454.88
Rs 548
Correct option 1: 445.44
P = Rs. 15,000, r = 16%, T = 2 years Compound interest only for 2nd year =15000 (16/100) = 2400 ⇒2400 × (16/100) = 384 Compound interest only for 2nd year = 2400 + 384 = Rs. 2784 Compound interest only for 3rd year ⇒ 15000 × (16/100) = 2400 × 1 = 2400 =2400 (16/100) = 384 x 2 = 768 = 384 x (16/100) = 61.44 Compound interest of 3 years = 2400 + 768 + 61.44 = 3,229.44 .. Required difference = 3,229.44 -2,784 = Rs. 445.44
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