Question
Rs. 2000 invested for 2 years in a scheme offering
compound interest (compounded annually) of 15% p.a. gives an interest that is Rs. 20 less than the interest received on investing Rs. Y for a year at simple interest of 20% p.a.. Find the value of ‘Y’.Solution
Interest returned on investing Rs. 2000 = 2000(1 + 15/100)2 – 2000 = 2000(115/100)2 – 2000 = 2000(23/20)2 – 2000 = 2000{232/202)- 1} = 2000{529/400)- 1} = 2000(529 - 400)/400 = Rs. 645 So, interest returned on investing Rs. Y for 1 year at simple interest of 20% p.a. = 645 + 20 = Rs. 665 Or, Y × (20/100) = 665 Or, Y = 665 × (100/20) Or, Y = 3325
6000 3002 1503 ? 378.75 191.375 97.6875
...1, 27, ?, 343, 729, 1331
(32.03 + 111.98) ÷ 18.211 = 89.9 – 20.23% of ?
51 53 109 332 ? 6686
...9 4.5 4.5 9 36 ?
5 16 ? 66 119 200
...1 1 8 4 27 9 ?
...What will be the next number in the series?
2, 7, 23, 70, ?
There are three series given below which are following with the same pattern.
Series I: 1, 12, 38, 193, 1355
Series II: 6, B, C, D, E
...Direction: Which of the following will replace ‘?’ in the given question?
5, 18, ‘?’, 126, 296, 586, 1044
