SSC MTS 2024 PYQ — Question 9

The correct answer is option 1 i.e. ₹4,600.

Let the amount invested by Sharad in each condition be ₹P.

The total time for the two conditions is (T) = 6 years and (T₁) = 3 years.

The interest rate for the two conditions is (R) = 7% and (R₁) = 9%.

Total interest earned by Sharad = ₹1,587

So, $\frac{P\times R\times T}{100}+\frac{P\times R_1\times T_1}{100}=1587$

⇒ $\frac{P\times 7\times 6}{100}+\frac{P\times 9\times 3}{100}=1587$

⇒ (42P/100) + (27P/100) = 1587

⇒ 69P/100 = 1587

⇒ P = 2300

Total invested amount = 2300 + 2300 = 4600

Therefore, the invested amount (in ₹) by Sharad is ₹4,600.