plss answer correct
Leena sold 2 boxes of chocolate at rs.150 each making a profit of 25% on one and loss of 25% on the other. Find:a. cost price of each box of chocolate
b.the overall profit or loss
c.profit or loss%
Answers
Answer:
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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