SSC Selection Post 2023 PYQ — Question 70

SSC Selection Post - Matriculation Level - 30 June 2023 - Shift 3 • Quantitative Aptitude • Q70

What annual payment will discharge a debt of ₹38,700 due 4 years hence, at the rate of 5% per annum simple interest?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. ₹9,000.

Let the annual amount be ₹P

The amount of rupees P in 3 years at 5% = 115P100115P\over100

The amount of rupees P in 2 years at 5% = 110P100110P\over100

The amount of rupees P in 1 year at 5% = 105P100105P\over100

According to the question,

⇒ 115P100115P\over100 + 110P100110P\over100 + 105P100105P\over100 + 100P100100P\over100 = 38700

⇒ 430P100430P\over100 = 38700

⇒ P = ₹9,000