A person borrows some money at the rate of 10% p.a. compound interest for three years. At the end of second years he deposit Rs. 7260 and at the end of third year he paid Rs.13310 and cleared his dues. Find the sum he borrowed. |
Rs. 20570 Rs. 19550 Rs. 16000 Rs. 14250 |
Rs. 16000 |
Let the sum borrowed = 100x Amount after 2 years at the rate of 10% = 100x × [\(\frac{11}{10}\)] × [\(\frac{11}{10}\)] = 121x Now, [121x – 7260] × [\(\frac{11}{10}\)] = 13310
⇒ 121x – 7260 = 12100 ⇒ 121x = 19360 ⇒ 100x = 16000 |