Question
Raman gave 50% of his savings of 126150 to his wife and
divided the remaining sum among his two sons Aman and Bhusan of 15 and 13 years of age respectively. He divided it in such a way that each of his sons, when they attain the age of 18 years, would receive the same amount at 5% compound interest per annum. The share of Bhusan wasSolution
Amount given to sons = 126150 × (1/2) = 63075 Amount given to Bhusan = x (let) Therefore, Amount given to Aman = (63075 – x) A = P [1 + (R/100)]T = (63075 - x) [1 + (R/100)]3 = x [1 + (R/100)] 5 = (63075 – x) = x [1 + (R/100)]2 (63075 – x) = x [1 + (5/100)]2 (63075 – x) = x [1 + (1/20)]2 (63075 – x) = x (21/20)2 (63075 – x) = 441x/400  63075 = (441x + 400x)/400  x = (63075 x 400)/841 = Rs 30,000
More Simple and compound interest Questions
- Which letter and number cluster will replace the question mark (?) to complete the given series?
LT6, KU12, IW24, FZ48, ____ - Which letter-cluster will replace the question mark (?) in the following series?
RGV, UME, ?, AYW, DEF - A series is given with one term missing. Choose the correct alternatives from the given ones that will complete the series.
57, 59, 56, 61, 54, ___ - Select the number from among the given options that can replace the question mark (?) in the following series.
17, 18, 22, 31, 47, ___ - Which letter-cluster will replace the question mark (?) in the following series?
NPQR, OORQ, PNSP, ____, RLUN
Relevant for Exams:
