A father left a will of Rs 55 lakhs between his two sons aged 8 5 and 16 such that they may get equa...........

Quantitative Aptitude ( CCS) Simple Interest

A father left a will of Rs.55 lakhs between his two sons aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.55 lakhs has been instructed to be invested at 10% p.a. SI. How much did the elder son get at the time of the will?

25 lakh

26 lakh

28 lakh

33 lakh

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Explanation:

Let x be the amount of elder son at the time of will & Younger son’s amount at the time of will (550000 -x)
For elder son, T= 21-16=5
For younger son, T=21-8.5= 12.5
Amount Should be equal so,
x + [(x*10*5)/100] = (5500000-x) + [((5500000-x)*10*12.5)/100] 3x/2 = 12375000 – 2.25x
x=3300000