Question
Divide Rs. 53,285 into two parts such that the amount
received from first part after 12 years is equal to the amount received from second part after 8 years, if interest rate being `12(1)/(2)` % per annum compounded yearly.Solution
Let the first part be x and the second part be y The first part after 12 years = x ( 1 + 25/200 )¹² The second part after 8 years = y ( 1 + 25/200 )⁸ As given in the problem these two amounts are equal. So, y ( 1 + 25/200 )⁸ = x ( 1 + 25/200 )¹² Or y/x = (1 + 25/200 )⁴ Or y/x = 6561/4096 We have the x + y = Rs. 53,285 Using the ratio formula, y = 6561/(6561 + 4096) × 53,285 = Rs. 32,805 x = 4096/(6561 + 4096) × 53,285 = Rs. 20,480
What will come in place of the question mark (?) in the following series?
75, 219, 388, ?, 809, 106516.12 × 15.94 + 654.92 – 344.83 = ?× 5.95
660, 653, 639, 618, 590, ?
120, 126, 138, 162, ?, 306
11 20 ? 64 112 192
...Find the missing term in the series:
2, 5, 11, 23, 47, ?
580 557 528 497 ? 419
17, 38, 123, 508, ?, 15426
What will come in place of the question mark (?) in the following series?
55, 176, 320, ?, 685, 910
161 173 191 215 245 ?
...
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