Question
Rs. 14000 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. 14000 = 14000(1 + 15/100)2 – 14000 = 14000(115/100)2 – 14000 = 14000(23/20)2 – 14000 = 14000{232/202)- 1} = 14000{529/400)- 1} = 14000(529 - 400)/400 = Rs. 4515 So, interest returned on investing Rs. Y for 1 year at simple interest of 20% p.a. = 4515 + 20 = Rs. 4535 Or, Y × (20/100) = 4535 Or, Y = 4535 × (100/20) Or, Y = 22675
22 44 176 1078 8448
...15 , 33 , 71 , 150 , 307 , 625
To find the Next number in the given series.
342 510 726 996 1326 ?
...7Â Â Â Â Â 14Â Â Â Â Â 42Â Â Â Â Â 168Â Â Â Â Â Â 840Â Â Â Â Â ?
...2556   636    156    ?    6
48Â Â Â Â 61 Â Â Â Â 76 Â Â Â Â 94Â Â Â Â 116 Â Â Â Â Â ?
100Â Â Â Â 221Â Â Â Â 77Â Â Â Â 245Â Â Â Â 50Â Â Â 275
What will be the next number in the series?
2,5,11,23,47,?
(32.03 + 111.98) ÷ 18.211 = 89.9 – 20.23% of ?
75    196    52    221    ?    250