An individual invested certain amounts in three different schemes P, Q, and R, at simple interest rates of 7% p.a., 9% p.a., and 11% p.a., respectively. If the total interest accrued in one year was ₹2520 and the amount invested in Scheme R was 250% of the amount invested in Scheme P and 300% of the amount invested in Scheme Q, what was the amount invested in Scheme P?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹6000.
Let P = x
R = 250% of P = 2.5x
R = 300% of Q ⇒ Q = R/3 = 2.5x/3
Interest of P = 0.07x
Interest of Q = 0.09 × (2.5x/3) = 0.075x
Interest of R = 0.11 × 2.5x = 0.275x
Total interest = 0.07x + 0.075x + 0.275x = 0.42x = 2520
⇒ x = 2520/0.42 = 6000