SSC CHSL 2023 PYQ — Question 60

SSC CHSL - 09 March 2023 - Shift 3 • Quantitative Aptitude • Q60

1/2 of a certain sum is lent at a 20% rate of interest. 2/5 of the remaining sum is lent at a 25% rate of interest. The remaining sum is lent at a 10% rate of interest. If the simple interest received on the total sum for 2 years is Rs. 360, then what is the sum?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. Rs. 1000.

Let the total sum = Rs. X

12X×20×2100+15X×25×2100+310X×10×2100=360\frac{\frac{1}{2}X\times 20\times 2}{100}+\frac{\frac{1}{5}X\times 25\times 2}{100}+\frac{\frac{3}{10}X\times 10\times 2}{100}=360

⇒ 20X + 10X + 6X = 36000

⇒ 36X = 36000

⇒ X = 36000/36 = 1000