SSC CGL 2023 PYQ — Question 53

SSC CGL - 14 July 2023 - Shift 2 • Quantitative Aptitude • Q53

If the simple interest at the same interest rate on ₹500 for 4 years and ₹700 for 2 years, combined together, is ₹280, then what is the rate of interest?

Show answer & explanation

Correct answer: C

Explanation

 The correct answer is Option 3 i.e. 84178\frac{4}{17}%

Let the interest rate be R% per annum

Given that

The simple interest at the same interest rate on ₹500 for 4 years and ₹700 for 2 years, combined together, is ₹280

Formula used

S.I. = (Principal × Rate × Time)/100

Calculation

280 = (500 × R × 4)/100 + (700 × R × 2)/100

280 = 20R + 14R = 34R

R = 280/34 = 84178\frac{4}{17}% per annum