discount profit (Question:107625.0)

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NISHANT KUMAR

· started a discussion

· 1 Months ago

discount profit (Question:107625.0)

discount10=profit5 ,,d/p=1/2

Question:

Cost price of 12 oranges is equal to the selling price of 9 oranges and the discount percentage on 10 oranges is equal to the profit percentage on 5 oranges. What is the percentage point difference between the profit percentage and discount percentage?

Options:

A) 20

B) 22.22

C) 16.66

D) 15

Solution:

Let C.P. of 1 orange = Rs. 1

∴ S.P. of 9 oranges = C.P. of 12 oranges = Rs. 12

∴ S.P. of 1 orange = \(\frac{12}{9}\) = \(\frac{4}{3}\)

∴ Profit = \(\frac{4}{3}\) - 1 = \(\frac{1}{3}\)

∴ Profit = \(\frac{1}{3}\) × 100% = 33.33%

Discount on 10 oranges = Profit on 5 oranges = \(\frac{5}{3}\)

∴ discount on 1 oranges = \(\frac{5}{30}\) = \(\frac{1}{6}\)

= 16.66%

∴ percentage point difference = 33.33% - 16.66%

= 16.66 %

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
The given answer is correct.
Kindly go through the solution very carefully.
Keep learning with us
Thank You
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