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The C.P of 18 oranges is the same as the S.P of 15 oranges.Find the percentage gain?5%10%15%20%

Question

The C.P of 18 oranges is the same as the S.P of 15 oranges. Find the percentage gain?

Options:

  • 5%
  • 10%
  • 15%
  • 20%
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Solution

Let's solve this step by step:

Step 1: Assume the cost price (C.P) of one orange is 1.Therefore,thecostpriceof18orangeswouldbe1. Therefore, the cost price of 18 oranges would be 18.

Step 2: According to the problem, the selling price (S.P) of 15 oranges is also 18.Therefore,thesellingpriceofoneorangewouldbe18. Therefore, the selling price of one orange would be 18/15 = $1.2.

Step 3: The gain is calculated by subtracting the cost price from the selling price. So, the gain for one orange would be 1.21.2 - 1 = $0.2.

Step 4: The percentage gain is calculated by dividing the gain by the cost price and then multiplying the result by 100. So, the percentage gain would be (0.2/0.2/1)*100 = 20%.

So, the percentage gain is 20%.

This problem has been solved

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