SSC GD 2023 PYQ — Question 53

SSC GD Constable (English) - 24 Jan 2023 - Shift 3 • Quantitative Aptitude • Q53

Find the sum which becomes ₹1,166.40 after 2 years at the rate of 8% per annum on compound interest, compounding annually.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. ₹1,000

Given:

Amount = ₹1,166.40

Time = 2 years 

Rate = 8%

Concept Used:

Amount =Principle ×(1+R100)nAmount\ = Principle\ \times ({1 + {R \over 100}})^n

Explanation:

According to the given question,

1166.40=Principle ×(1+8100)21166.40 = Principle\ \times ({1 + {8 \over 100}})^2

Principal = 1166.40×25×2527×27{1166.40 \times 25 \times 25} \over {27 \times 27} 

Principal = 1000

Hence the required answer is  ₹1,000.