Question

divide RS. 6000 into 2 parts so that the simple interest on the first part for 9 months at 12% per annum is equal to the simple interest on the second part for 1.5 years at 10% 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

__________________

Amrit

Answer 2

Answer:

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) = Rs22