Question

(b) A seller fixed the selling price of a pen
at * 44. But at the time of selling he
made a profit of 10% even after
allowing 75% discount to his customer.
What was the cost price of the pen?​

Answer 1

Answer:

Selling Price fixed at 1.10CP for a 10% Profit

Profit=[SP-CP]/CP

0.10=[1.10CP-CP]/CP=0.10CP/CP=0.10 Ok

At Rs 7.50 discount the profit is 5% loss from 10% profit, thus the profit becomes 5% only:

0.05=[(1.10CP-7.50)-CP]/CP

0.05CP=0.10CP-7.50

0.05CP-0.10CP=-7.50

-0.05CP=-7.50

CP= -7.50/-0.05= Rs 150 purchased price or cost price

Check:

At 10% profit, Selling Price is 1.10(150)= Rs 165

0.10=(165–150)/150=15/150=0.10 ok

at a discount of Rs 7.50 and a profit loss of 5%, so the selling price is 165–7.50=Rs157.50 and the profit is only 5% or 0.05 for the cost price of Rs 150:

0.05=[157.50– 150]/150=7.50/150= 0.05 OK

Therefore, the pen was purchased at Rs 150. Originally fixed at a selling price of Rs 165 for 10% profit but finally, it was sold at a discount of Rs 7.50, which is 165–7.50=157.50 as the actual selling price and at a loss 5% profit. So the initial plan of 10% profit became 5% only with a 5% loss at the selling price of Rs 157.50

Answer 2

Step-by-step explanation:

Firstly find discount

then find sp after discount

then find cp