SSC CHSL 2021 PYQ — Question 69

SSC CHSL - 19 April 2021 - Shift 2 • Quantitative Aptitude • Q69

A sum of Rs. x amounts to Rs. 8563.50 in 3123{1\over 2} years and to Rs.10,527 in 7 years at y % p.a. simple interest. The value of x and y, respectively, are:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e.  6600 and 812\frac{1}{2}

SI=(P×R×T)100SI = {(P \times R \times T) \over 100}

Interest = Amount - principle

According to the given question,

Interest for (7 - 7/2) years = 10527 - 8563.50

⇒ For 7/2 years = 1963.5

Now, Principle = x = 8563.50 - 1963.5 = 6600

Now, 1963.5=(6600×y×72)1001963.5 = {( 6600 \times y \times {7 \over 2}) \over 100}

⇒ 1963.5 = 33 × y × 7

⇒ y = 8.5%

Hence the required answer is x = Rs. 6600 and y% = 812%8{1 \over 2} \%.