Roopa sold 300 pens in a day. She made neither profit nor loss on one out of every four pens that she sold. If she made a profit of 20% on the remaining pens, find her overall profit percentage.
Answers (2)
7th Dec, 2019
Let Cost price of one pen be Rs 100.
For 75 pens (1/4*300), Selling price = Cost price = Rs 100 each
For remaining 225 pens,. SP = 120% of CP = Rs 120 each.
Total SP = 100x75 + 120x225
= 7500 + 27000
= 34500
Total CP = 100 x 300 = 30000
Profit = SP - CP = 34500 - 30000 = 4500
Profit percentage = Profit/ CP x100 = 15%
Comments (0)
7th Dec, 2019
At first divide the 300 pens in group of 4 pens.
Now there are 300/4=75 such groups.
Now one pen in that group is sold at same price .
Hence 75 pens are sold at same price.
Let the real price of one pen is 1 rs.
Then 20% profit means 20/100=0.20rs
Hence Total selling price =1.2*3*75+75
=4.6*75=345rs
The profit 345-300=45
Hence profit is 45*100/300=15%
Now there are 300/4=75 such groups.
Now one pen in that group is sold at same price .
Hence 75 pens are sold at same price.
Let the real price of one pen is 1 rs.
Then 20% profit means 20/100=0.20rs
Hence Total selling price =1.2*3*75+75
=4.6*75=345rs
The profit 345-300=45
Hence profit is 45*100/300=15%
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