SSC CHSL 2023 PYQ — Question 58

SSC CHSL - 08 Aug 2023 - Shift 1 • Quantitative Aptitude • Q58

What is the amount (in ₹) of debt that will be discharged in 6 equal instalments of ₹800 each, if the debt is due in 6 years at 5% per anmum?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 5,400.

Installment = Due amount ×100100t+rt(t−1)2\frac{Due\ amount\ \times 100}{100t + {rt(t - 1) \over 2}}

According to the given question,

800 = D ×100600+5×6×52\frac{D\ \times 100}{600 + {5 \times 6 \times 5 \over 2}}

⇒ D × 100 = 800(600 + 75)

⇒ D = 8 × 675

⇒ D = 5400