Kavya invested amounts in three schemes P, Q, and R at simple interest rates of 11% p.a., 13% p.a., and 16% p.a. respectively. If the total interest in one year was ₹2,850 and the amount in Scheme R was 200% of Scheme P and 300% of Scheme Q, what was the amount invested in Scheme Q?

Question

Accepted Answer

1. Let Scheme Q = $q$. Then P = $1.5q$ and R = $3q$.

2. Total simple interest: $0.11(1.5q)+0.13q+0.16(3q)=2850$.

3. Sum coefficients: $0.165+0.13+0.48=0.775$, so $0.775q=2850$.

4. Solve: $q=2850/0.775=114000/31\approx 3677$. So Q ≈ ₹3677.

FINAL_ANSWER: a

Answer

Answer

Answer