Mrs Sharma fixed the price of a pen to make a profit of 10 Percent. But she sold it allowing a discount of rs7.50 and loss 5 percent at what price did she purchase the pen
Answers
Answer:
The price of the pen is 20
Answer:
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Step-by-step explanation:
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