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Sagot :
Given:
A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.
He spent Rs 40 on transportation.
He sold the eggs at rs 12 per pair.
To find:
The gain or loss percentage.
Solution:
The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:
[tex]12\times 50=600[/tex]
Number of eggs in 12 boxes is:
[tex]12\times 10=120[/tex]
He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:
[tex]600+40=640[/tex]
Cost of each egg is:
[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]
He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:
[tex]\dfrac{12}{2}=6[/tex]
We need to find the gain or loss percentage.
Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.
The gain percent is:
[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]
[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]
[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]
[tex]Gain\%=12.5\%[/tex]
Therefore, the gain percent is 12.5%.
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