Multiple choice

A shopkeeper by selling 22 Skechers shoes, earns a profit equal to the selling price of 6 Skechers shoes. His profit percentage is:

  1. 27.2 percent

  2. 37.5 percent

  3. 54.4 percent

  4. 16.9 percent
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit = SP of 6 shoes. SP of 22 shoes = CP of 22 shoes + Profit = CP of 22 shoes + SP of 6 shoes. Thus, SP of 16 shoes = CP of 22 shoes. Profit % = (Profit / CP) * 100 = (SP of 6 / CP of 22) * 100. Since SP of 16 = CP of 22, SP = (22/16)CP = 1.375CP. Profit is 37.5%.

AI explanation

The profit equals the selling price minus the cost price, so the cost price for 22 shoes is the selling price of 22 shoes minus the selling price of 6 shoes, yielding the selling price of 16 shoes. The profit percentage formula is profit divided by cost price multiplied by 100, which in this case is 6 divided by 16 multiplied by 100. This calculation gives a profit percentage of 37.5 percent.

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