Divide Rs. 8000 into two parts so that simple interest on first part for 3 years at 5% p.a. may be equal to simple interest on the second p… — Answer & Discussion

Divide Rs. 8000 into two parts so that simple interest on first part for 3 years at 5% p.a. may be equal to simple interest on the second part for 5 years at 9% p.a.

ARs. 5000, Rs. 3000
BRs. 6500, Rs. 1500
CRs. 6000, Rs. 2000
DRs. 4500, Rs. 3500

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Discussion 1

CCommunity18 Jun 2019

Let us divide Rs. 8000 into two parts as Rs. x and Rs. (8000 - x) and equate the simple interest for both the cases.

We know, Simple interest = (P × R × T)/100

⇒ (x × 5 × 3)/100 = [(8000 - x) × 9 × 5)/100

⇒ x = 24000 - 3x

⇒ x = Rs. 6000

⇒ 8000 - x = Rs. 2000

∴ The two parts of the amount are Rs.6000 and Rs. 2000