Question

Akhil sells a painting worth Rs. 50000 to B at a profit of 15%. After some time B sells it back to Akhil at a loss of 15%. Find Akhil's loss or gain per cent overall.

Answer 1

C.P. of the painting for Akhil = Rs.50000
Profit = 15%
∴ Profit = 15% of Rs.50000
= `(15)/(100) xx 50000`
= Rs.7500
S.P. = C.P. + Profit
=Rs.(50000 + 7500)
= Rs.57500
C.P. of the painting for B = Rs.57500
Loss = 15%
∴ Loss = 15% of Rs.57500
= `(15)/(100) xx 57500`
= Rs.8625
S.P. = C.P. - Loss
=  Rs.(57500 - 8625)
= Rs.48875
Total gain made by Akhil
= Rs.[7500 + (50000 - 48875]
= Rs.8625
Gain % in the second transaction
= `"Gain"/"OP" xx 100`

= `(8625)/(50000) xx 100`
= 17.25%.