SSC GD Constable 5 Feb 2025 Shift 1 Paper

Section: Elementary Mathematics

Question : 50 of 80

Marks: +1, -0

Shan has ₹1612 with him. He divided it amongst his sons Piyush and Manoj and asked them to invest it at 8% rate of interest compounded annually. It was seen that Piyush and Manoj got same amount after 12 and 13 years respectively. How much (in ₹) did Shan give to Piyush?

Validate

Solution:

A=P (1+\;{r}/{100}) ^{t}

Calculation:
Given that

A _1= A _2

\;⇒ P_1 (1+\;{8}/{100}) ^{12}=P_2 (1+\;{8}/{100}) ^{13}

\;⇒ P_1(1.08)^{12}=P_2(1.08)^{13}

\;⇒ P_1=P_2(1.08)

Also,

P _1+ P _2=₹ 1612

Substitute

P _1

in the total amount equation:

\;⇒ P_2(1.08)+P_2=1612

\;⇒ P_2(2.08)=1612

\;⇒ P_2=\;{1612}/{2.08}

\;⇒ P_2=775

\;⇒ P_1=1.08 × 775

\;⇒ P_1=837

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