SSC CHSL 2024 PYQ — Question 75

SSC CHSL - 02 July 2024 - Shift 4 • Quantitative Aptitude • Q75

A sum becomes ₹6,600 in 4 years at simple interest at a yearly interest rate of 5% per annum. What is the sum?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. ₹5,500.

Given that

Sum(P) + simple interest = 6600

Time(T) = 4 years

Rate of interest(R) = 5 percent per annum

Let the sum be P

Formula used 

S.I =  P×R×T100\frac{P × R × T}{100}

Hence, the simple interest

S.I = P×5×4100\frac{P × 5 × 4}{100} 

⇒ S.I = P5\frac{P}{5}

According to the question 

P + P5\frac{P}{5} = 6600

⇒ 6P5\frac{6P}{5} = 6600 

⇒ P = 5500

Hence, the sum is 5500.