IPMAT Indore 2024 - QA (MCQ) Q36 Explanation

Explanation:

(b) Let the amount invested in scheme B @12% S.I. per annum be 𝑥 and amount invested in scheme A @10% C.I. per annum, compounded half-yearly be (10000-x).

x (1+12/100) − (10000−𝑥)(1+ 5/100)^2 = 2310

⇒ 112𝑥/100 −10000 × (21/10)^2 + 441𝑥/400 = 2310

⇒889𝑥/400 − 10000 × 441/400 = 2310

⇒889𝑥/400 = 2310 + 11025 = 13335

⇒ x = 13335×400/889 = 6000 rupees

Total simple interest earned from scheme B = 6000× 12/100 = 720 rupees

Total compound interest earned from scheme A = 4000× (21/20)^2 − 4000

⇒ 4000(441/400 − 1)

⇒ 4000 × 41/400 = 410 rupees

∴ Total interest earned = 720 + 410 = 1130 rupees. Ans