Divide Rs. 12000 into two parts such that the simple interest on the first part for 2 years at 6% per annum is equal to the simple interest… — Answer & Discussion

Divide Rs. 12000 into two parts such that the simple interest on the first part for 2 years at 6% per annum is equal to the simple interest on the second part for 3 years at 8% per annum.

A8000, 4000
B7000, 5000
C5500, 6500
D6000, 6000

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Discussion 1

CCommunity25 Jun 2019

Let the first part be Rs. x

Second part = 12000 – x

SI on x at 6% per annum for 2 years = (x x 6 x 2)/100 = Rs. 3x/25

SI on 12000 – x at 8% per annum for 3 years = {(12000 - x) x 8 x 3}/100

⇒ (72000 – 6x)/25

⇒ 3x/25 = (72000 – 6x)/25

⇒ 3x = 72000 – 6x

⇒ 9x = 72000

⇒ x = 8000

First part = x = 8000

Second Part = 12000 – 8000 = 4000

∴ First part is Rs. 8000 and second part is Rs. 4000