Question 1084541
A shopkeeper sold a sofa set at 8 percent gain. Had he purchased it for 5 percent less and sold it for rs 36 less than what he actually sold it for,he would have gained 12.5 percent.For how much did the man purchase the sofa set?

Let the purchase price of Sofa be Rs.x

He sold it for 8% gain.
He sold it for 1,08x

Cost at 5% less = 0.95x 

Sold it for Rs36 less ie:1.08x-36

profit = (1.08x-36)-0.95x
= 0.13x -36

(0.13x-36)/0.95x = 0.125

0.13x -36 = 0.95x*0.125

0.13x-36=0.11875x

0.13x-0.11875x=36

solve for x
0.01125x =36

x = 3200

Cost price of the sofa set was  Rs 3200





SP= 3200*1.08 =3456

5%less = 0.95*3200 =3040  CP

SP less 36 3456-36 = 3420

3420-3040 = 380

(380/3040)*100 =12.5%