Profit on article X=15% Selling price of article X=₹34,500 Loss on article Y=10% No overall gain or loss (Net profit = ₹0) Formula used: Cost price (CP) =
Selling Price (SP)
1+
Profit %
100
Cost price (CP) =
Selling Price (SP)
1−
Loss %
100
Calculations: For article X: CP of article X=
34500
1+
15
100
⇒CP of article X=
34500
1.15
⇒ CP of article X = ₹30,000
For article Y: Total cost price of X and Y= Total selling price of X and Y ⇒CP of X+CP of Y=SP of X+SP of Y ⇒₹30,000+CP of Y=₹34,500+SP of Y ⇒CP of Y=SP of Y - ₹4,500 CP of article Y=
SP of Y
1−
10
100
⇒SP of Y−₹4,500=
SP of Y
0.9
⇒0.9(SP of Y−₹4,500)=SP of Y ⇒0.9SP of Y−₹4,050=SP of Y ⇒SP of Y−0.9SP of Y=₹4,050 ⇒0.1SP of Y=₹4,050 ⇒SP of Y=₹4,050×10 ⇒SP of Y=₹40,500
