Ashok left a will of Rs.48300 for his two sons whose age are 16 and 17 years. They must get equal amounts when they are 19 years at 10% compound interest. Find the present share of the younger son. (In Rs.)

अशोक ने अपने दो बेटों के लिए 48300 रुपये की वसीयत छोड़ी है, जिनकी उम्र 16 और 17 साल है। 19 साल की उम्र में उन्हें 10% चक्रवृद्धि ब्याज पर बराबर रकम मिलनी चाहिए। छोटे बेटे का वर्तमान हिस्सा ज्ञात करें। (रुपये में)

a) 22000
b) 23000
c) 25000
d) 24000

Ans : 23000

UP Police SI Exam paper – Mathematics

Solution :

Given rate of interest (r) = 10%,
t for younger son = 3 years
t for elder son = 2 years

Suppose
P1 is principal (present amount) for Younger son
P2 is principal (present amount) for elder son

Both Son receive equal amount, when 19 years old.

Amount = $P1(1+\frac{10}{100})^3 =P2(1+\frac{10}{100})^2$
$P1(1+\frac{10}{100}) =P2$
$P1(\frac{11}{10}) =P2$

Total amount left by Ashok = P1 + P2 = 48300
$P1 + P1(\frac{11}{10}) =48300$
$\frac {21}{10} P1= 48300$
P1 = 23000

Ashok left a will of Rs.48300 for his two sons whose age are 16 and 17 years. They must get equal amounts when they are 19 years at 10% compound interest. Find the present share of the younger son. (In Rs.)

Solution :

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