Divide Rs. 6000 into two parts so that simple interest on the first p…

Question

Divide Rs. 6000 into two parts so that simple interest on the first part for 2 years at 6% p.a. may be equal to the simple interest on the second part for 3 years at 8% p.a.

Accepted Answer

Option A. Rs. 4000, Rs. 2000. Answer & Solution Answer: Option A Solution: & Let\,1^st\, part\, is\,x\, and\,2^nd\, part\, is\, ( 6000 - x ) & According\, to\, question, & x × 2 × 6100 = ( 6000 - x ) × 3 × 8 100 & 12x = 144000 - 24x & Or,\,36x = 144000 & Or,\,x = 14400036 = Rs.\,4000 & 1^st\, part = Rs.\,400…