Question

8. Divide Rs.6,000 into two parts so that the simple interest on the first part for
3 years at 12% per annum may be equal to the simple interest on the second part for
4.5 years at 16% per annum.​

Answer 1

Answer:

Rs 3750 & Rs 2250

Step-by-step explanation:

Let, First part be Rs x

Then second part = Rs(6000 - x)

S.I = PRT

A/Q

=> x * 12/100 * 3/4 = (6000 - x) 1.5 * 10/100

=> 9/100 * x = (6000 - x) 15/100

=> 9x = 90000 - 15x

=> 24x = 90000

=> x = 3750

∴ First part = Rs 3750

and second part = Rs(6000 - 3750) = Rs2250