SSC CHSL 2022 PYQ — Question 74

SSC CHSL - 2 June 2022 - Shift 2 • Quantitative Aptitude • Q74

A man borrowed some money and returned it in two equal instalments of Rs.3,025 each. If the rate of interest is 10% per annum, compound annually, find the sum borrowed.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e Rs. 5,250.

P=X(1+R100)2+X(1+R100)P = {\frac{X}{(1 + {R \over 100})^2}} + {\frac{X}{(1 + {R \over 100})}}

where, P = Principal and X = Instalment

According to the values given in the question,

The sum borrowed(P), 

P=3025(1+10100)2+3025(1+10100)P = {\frac{3025}{(1 + {10 \over 100})^2}} + {\frac{3025}{(1 + {10\over 100})}}

⇒ P=3025×10011×11+3025×1011P = {\frac{3025 \times 100}{11 \times 11}} + {\frac{3025 \times 10}{11}} 

⇒ P = 2500 + 2750

⇒ P = 5250

Hence, the sum borrowed is Rs. 5,250.