Question

a trader has 400kg of rice ,a part of which he sells at 36% profit amd rest at 24%loss.on the whole he losses 12% . what is the quantity sold at 24% loss

Answer 1

Let the buying price of 1 kg is x.

Total cost price = 400x

If he sells at a loss of 12%

The selling price :

0.88 × 400x = 352x

Let the quantity sold at 36% profit be y kgs then the quantity of the ones sold at a loss of 24% will be 400 - y

The buying price of y is :

xy

The selling price = 1.36xy

The buying price of 400 - y is :

400x - xy

The selling price is :

0.76(400x - xy) = 304x30x - 0.76xy

The total price at which the quantities were sold is :

xy + 304x - 0.76xy = 0.24xy + 304

0.24xy + 304x = 352x

0.24xy = 352x - 304x

0.24xy = 48x

y = 48x/0.24x

y = 200 kgs

The ones sold at a loss of 24% is :

400 - 200 = 200kgs