SSC MTS 2024 PYQ — Question 2

SSC MTS - 30/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q2

Raghu lends ₹9,600 and ₹11,800 at simple interest to two different persons for the same time at the rate of 7% per annum and 8% per annum, respectively. If he had received ₹9,696 as total interest from both, find the time period for which the amounts were lent.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 6 years.

SI = (P × R × T)/100

So, 9600×7×T100+11800×8×T100=9696\frac{9600 × 7 × T}{100}+\frac{11800 × 8 × T}{100}=9696

⇒ 672T + 944T = 9696

⇒ 1616T = 9696

⇒ T = 9696/1616 = 6 years