Question
Download Solution PDFA shopkeeper sells two bags for Rs.5500 each. On one, he gets 21% profit and on the other he gets 21% loss. Find his profit or loss percentage for the bags.
Answer (Detailed Solution Below)
Detailed Solution
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CP of 1st article = 5500 × 100/121 = 4545.45
CP of 2nd article = 5500 × 100/79 = 6962.02
Total SP = 5500 + 5500 = 11000
Total CP = 4545.45 + 6962.02 = 11507.47
Loss = 11507.47 - 11000 = 507.47
Loss% = 507.47/11507.47 × 100 = 4.41%
Hence, there will be a loss of 4.41%.
Alternate Method
Given:
A shopkeeper sells two bags for Rs.5500 each.
On one, he gets 21% profit and on the other, he gets 21% loss.
Calculation:
Let CP of bag 1 be Rs x and CP of bag 2 be Rs y.
Now, For 1st bag:
x + 21x/100 = 5500
⇒ 121x = 550000
⇒ x = Rs 4545.45
For 2nd bag:
y - 21y/100 = 5500
⇒ y = Rs 6962.02
Total CP = x + y = 4545.45 + 6962.02 = 11507.47
Total SP = 11000
∴ Loss percentage = (11507.47 - 11000)/11507.47 × 100
⇒ Loss percentage = 4.41% loss
Hence the correct answer is "4.41% loss".
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