Sarah invested amounts in three different schemes, M, N, and O, at simple interest rates of 10% p.a., 12% p.a., and 15% p.a., respectively. If the total interest accrued in one year was ₹2282 and the amount invested in Scheme O was 180% of the amount invested in Scheme M and 250% of the amount invested in Scheme N, what was the amount invested in Scheme N?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹3600.
Let N = x
O = 2.5x
Given: O = 180% of M
⇒ M = O / 1.8 = 2.5x / 1.8 = 25x/18
10% of M + 12% of N + 15% of O = 2282
(10/100)(25x/18) + (12/100)x + (15/100)(2.5x) = 2282
⇒ (25x/180) + (12x/100) + (37.5x/100) = 2282
⇒ (5x/36) + (3x/25) + (3x/8) = 2282
⇒ (250x + 216x + 675x)/1800 = 2282
⇒ 1141x = 2282 × 1800
⇒ x = 2 × 1800
⇒ x = 3600