SSC CHSL 2023 PYQ — Question 57

SSC CHSL - 14 Aug 2023 - Shift 3 • Quantitative Aptitude • Q57

If 2,000 is invested at a simple interest rate of 5% per annum and the interest is added to the principal after 10 years, then in how many years will it amount to 4,000 at the same rate of interest?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 162316\frac{2}{3}years.

SI earned after 10 years = (P × R × T)/100 = (2000 × 5 × 10)/100 = 1000

Current principal = 2000 + 1000 = 3000

Required interest = 4000 - 3000 = 1000

Time required = (SI × 100)/(P × R) = (1000 × 100)/(3000 × 5) = 20/3 years

Total time required = 10 + (20/3) = 162316\frac{2}{3} years