Leena sold two box of chocolate at rupees 150 rupees each making a profit of 25% on one and loss of 25% on the other find cost price of each box of chocolate the overall profit or loss and profit or loss percentage
Answers
The cost price of each box of chocolate Rs. 120 & Rs. 200 respectively and the overall loss percentage is 6.25%.
Step-by-step explanation:
Required formula:
C.P = [(100)/(100 + Profit)] * S.P.
Step 1:
The S.P. of each box of chocolate = Rs. 150
∴ The total S.P. of 2 boxes of chocolate = 2 * Rs. 150 = Rs. 300 ….. (i)
Step 2:
It is given that one of the box was sold at a profit of 25% and the other was sold at loss of 25%, so
The C.P. of the box sold at 25% profit is given by,
= [(100)/(100 + 25)] * 150
= (100/125) * 150
= Rs. 120
And,
The C.P. of the box sold at 25% loss is given by,
= [(100)/(100 - 25)] * 150
= (100/75) * 150
= Rs. 200
∴ Total cost price of the 2 box of chocolate = Rs (120 + 200) = Rs 320 ….. (ii)
Step 3:
From (i) & (ii), we can conclude that the cost price is greater than the selling price. Therefore, Leena will make an overall loss in the transaction.
Thus,
The overall loss percentage is given by,
= [(C.P. – S.P.)/C.P.] * 100
= [(320 - 300)/320] * 100
= [20/320] * 100
= 6.25 %
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