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The total cost price of 63 identical articles is equal to the total selling price of 54 of those articles. What is the gain or loss percentage?
Question

The total cost price of 63 identical articles is equal to the total selling price of 54 of those articles. What is the gain or loss percentage?

A.

1623% Loss16\frac{2}{3}\%\ Loss​​

B.

1513% Gain15\frac{1}{3}\% \ Gain​​

C.

1623% Gain16\frac{2}{3}\% \ Gain​​

D.

1513% Loss15\frac{1}{3}\% \ Loss​​

Correct option is C

Given:

Cost Price of 63 identical items = Selling Price of 54 items

Formula Used:

Profit Percent =ProfitCP×100= \frac{Profit}{CP} \times 100​​

Solution:

According to question:

63CP = 54SP

CPSP=5463\frac{CP}{SP} = \frac{54}{63}​​

If CP = 54 then SP = 63

Then profit = 63-54 = 9

Profit Percent =954×100=503%=1623%Gain \frac{9}{54} \times 100 = \frac{50}{3}\% = 16\frac{2}{3}\% Gain​​

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