Mr Bose purchased sugar worth Rs 400 he sold three by fourth of it at a loss of 10% and the remainder at a gain of 10% how much percent does he gain or loss on the whole transaction
Answers
Loss % on whole transaction is 5%.
Step-by-step explanation:
Given,Cost Price of 1 unit sugar=Rs.400
Cost Price of sugar=
=Rs.300
If this of sugar is sold at 10% loss,
Selling Price of sugar=(100%-10%) of Rs.300
=90% of Rs.300
=Rs.270
If of the fraction has been sold than
of the fraction is left.
Now,Cost Price of Sugar=
=Rs.100
If this 1/4 sugar is sold at 10% profit,
Selling Price of 1/4 of sugar=(100%+10%) of Rs.100
=110% of Rs.100
=Rs. 110
Now,Net Cost Price=Rs. 400
Net Selling Price=Rs.270+Rs.110
=Rs.380
Since ,Net Cost Price>Net Selling Price
We will face loss in this case,
=
=
=
=5%
Loss % on whole transaction is 5%.
Step-by-step explanation:
Given,Cost Price of 1 unit sugar=Rs.400
Cost Price of\frac{3}{4}43 sugar=\frac{3}{4}\times 40043×400
=Rs.300
If this \frac{3}{4}43 of sugar is sold at 10% loss,
Selling Price of \frac{3}{4}43 sugar=(100%-10%) of Rs.300
90% of Rs.300
=Rs.270
If \frac{3}{4}43 of the fraction has been sold than \frac{1}{4}41 of the fraction is left.
Now,Cost Price of \frac{1}{4}41 Sugar=\frac{1}{4}\times Rs.40041×Rs.400
=Rs.100
If this 1/4 sugar is sold at 10% profit,
Selling Price of 1/4 of sugar=(100%+10%) of Rs.100
=110% of Rs.100
=Rs. 110
Now,Net Cost Price=Rs. 400
Net Selling Price=Rs.270+Rs.110
=Rs.380
Since ,Net Cost Price>Net Selling Price
We will face loss in this case,
Loss\ percentage= \frac{Loss}{Cost Price}\times 100Loss percentage=CostPriceLoss×100
=\frac{Cost Price-Selling Price}{Cost Price}\times 100CostPriceCostPrice−SellingPrice×100
=\frac{400-380}{400}\times 100400400−380×100
=\frac{20}{400}\times 10040020×100
=5%
Loss % on whole transaction is 5%.