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.
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%.
Similar Questions
The selling price of 30 items is equal to the purchasing price of 25 items. What is the profit percent? 25% 20% 16.67% 20.33%
A seller increased price of a product by 30% and allows a discount of 15%. What is his net gain%?
A fruit vendor buys apples at the rate of 10 for 100. How many should he sell for 100, so that he makes a profit of 25% ?Options8657
The price of an item has risen to $153 today. Yesterday it was $60. Find the percentage increase.
By what fraction the selling price must be multiplied to get the cost price, if gain is 25%?5454454514144
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.