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Gopi purchased an article at 78\frac{7}{8}87​​ of its selling price. Had he sold it at 20%  more than the selling price, then what would be his p
Question

Gopi purchased an article at 78\frac{7}{8}​ of its selling price. Had he sold it at 20%  more than the selling price, then what would be his profit percentage be?

A.

37%

B.

35%

C.

3717%37\frac{1}{7}\%​​

D.

3517%35\frac{1}{7}\%​​

Correct option is C

Given:

Gopi purchased article at 78\frac{7}{8}​ of selling price

Formula Used:

Profit = SP - CP

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

Solution:

Let the selling price of article be x

Then Cost Price for Gopi =78ofx=7x8 \frac{7}{8} of x = \frac{7x}{8}​​

If Gopi sells article for 20% more than selling price then

Selling price for Gopi =x + 20% of x = x + 0.2x = 1.2x

Profit for Gopi = 1.2x7x8=9.6x7x8=2.6x8=1.3x41.2x - \frac{7x}{8} = \frac{9.6x - 7x}{8} = \frac{2.6x}{8} = \frac{1.3x}{4}​​

Profit percent =1.3x47x8×100=2607=3717%= \frac{\frac{1.3x}{4}}{\frac{7x}{8}} \times 100 = \frac{260}{7} = 37\frac{1}{7}\%​​

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