SSC GD Constable 6 Feb 2025 Shift 2 Paper

Section: Elementary Mathematics

Question : 48 of 80

Marks: +1, -0

Manoj has ₹1224 with him. He divided it amongst his sons Anand and Anil and asked them to invest it at 4% rate of interest compounded annually. It was seen that Anand and Anil got same amount after 17 and 18 years respectively. How much (in ₹) did Manoj give to Anil?

Validate

Solution:

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

Calculation:
Anand's principal

= P _1

, Anil's principal

= P _2

Amount for Anand

=

Amount for Anil

\;⇒ P_1(1+4 \/ 100)^{17}=P_2(1+4 \/ 100)^{18}

\;⇒ P_1=P_2(1+4 \/ 100)

\;⇒ P_1=P_2(1+0.04)

\;⇒ P_1=P_2 × 1.04

Total amount:

\;P_1+P_2=1224

\;⇒ P_2 × 1.04+P_2=1224

\;⇒ P_2(1.04+1)=1224

\;⇒ P_2 × 2.04=1224

\;⇒ P_2=1224 \/ 2.04

\;⇒ P_2=600

Go to Question:

Prev Question

Next Question