Question

A trademan fixed the selling price of his goods at 40% above the cost price. He sells half his goods at this price, one-forth of his stock at a discount of 15% om the original selling price, and the rest at a discount of 25% on the original selling price. Find the gain percent altogether

Answer 1

Let the C.P. of each article bought = Rs.100
Let the number of articles bought = x
∴ C.P. of the articles = Rs.100x
M.P. of the articles
= Rs.100 + 40% of Rs.100
= Rs.140
Stage 1 :
No. of articles sold at Rs.140 = `x/(2)`

∴ S.P. of `x/(2)`articles

= Rs.`(140 xx x/2)`
= Rs.70x
Stage 2 :
Discount
= 15% of Rs.140
= `(15)/(100) xx "Rs."140`
= Rs.21
∴ S.P. 
= Rs.140 - Rs.21
= Rs.119
No. of articles sold at Rs.119 = `x/(4)`

∴ S.P. of `x/(4)`articles

= Rs.`(119 xx x/4)`
= Rs.29.75x
Stage 3 :
Discount
= 25% of Rs.140
= `(25)/(100) xx "Rs."140`
= Rs.35
∴ S.P.
= Rs.140 - Rs.35
= Rs.105
No. of articles sold at Rs.90 = `x/(4)`

∴ S.P. of `x/(4)`articles

= Rs.`(105 xx x/4)`
= Rs.26.25x
Total S.P. of all articles
= Rs.70x + Rs.29.75x + Rs.26.25x
= Rs.126x
∵ S.P. > C.P., therefore there is a gain
Gain
= Rs.126x - Rs.100x
= Rs.26x
Gain %
= `"gain"/"C.P." xx 100`

= `(26x)/(100x) xx 100`
= 26%.