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By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent

Question

By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent.

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Solution

Step 1: Understand the problem The problem states that a fruit-seller gains the selling price of 30 mangoes by selling 150 mangoes. We need to find the gain percent.

Step 2: Define the variables Let's denote:

  • C as the cost price of one mango
  • S as the selling price of one mango

Step 3: Set up the equations From the problem, we know that the gain from selling 150 mangoes is equal to the selling price of 30 mangoes. So, we can write this as: 150C + Gain = 150S And we know that Gain = 30S So, we can substitute Gain into the first equation: 150C + 30S = 150S Simplify this to find the cost price in terms of the selling price: 120C = 30S C = S/4

Step 4: Find the gain percent The gain percent is defined as (Gain / Cost Price) * 100%. Substituting the values we found: Gain Percent = (Gain / C) * 100% = (30S / S/4) * 100% = 120%

So, the gain percent is 120%.

This problem has been solved

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