Question

The following graphs show the total quantity (in kg) of five different fruits sold by two fruit sellers A and B. Graph 1 shows the total quantity (in kg) of fruits sold, and Graph 2 shows the selling price per kg of fruits sold by the sellers. If profit percent earned by fruit seller A from the sale of mango is 20% and that by fruit seller B on the same fruit is 25%, what is the difference between the price at which they buy mangoes?

• A. Rs. 10
• B. Rs. 11
• C. Rs. 12
• D. Rs. 15
• E. Rs. 16

Hint:

To calculate the cost price from the selling price and profit percentage, use the formula: \[ \text{CP} = \frac{\text{SP} \times 100}{100 + \text{Profit Percentage}} \]

Answer 1

The Correct Option is B

Step 1: Understand the profit formula.
Profit percent is calculated as: \[ \text{Profit Percentage} = \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \times 100 \] We are given that the profit percentage for seller A is 20% and for seller B is 25%. Let’s calculate the Cost Price (CP) for both sellers. Step 2: Determine the selling price and the cost price for seller A.
From the second graph, the selling price per kg of mango by seller A is ₹75. The profit percentage is 20%, so we use the profit formula to calculate the Cost Price (CP) for seller A: \[ \frac{75 - \text{CP}_A}{\text{CP}_A} \times 100 = 20 \] \[ \text{CP}_A = \frac{75 \times 100}{120} = 62.5 \] So, the cost price for seller A is ₹62.5 per kg. Step 3: Determine the selling price and the cost price for seller B.
From the second graph, the selling price per kg of mango by seller B is ₹64. The profit percentage is 25%, so we use the profit formula to calculate the Cost Price (CP) for seller B: \[ \frac{64 - \text{CP}_B}{\text{CP}_B} \times 100 = 25 \] \[ \text{CP}_B = \frac{64 \times 100}{125} = 51.2 \] So, the cost price for seller B is ₹51.2 per kg. Step 4: Calculate the difference between the cost prices.
The difference in the cost prices is: \[ \text{Difference in CP} = \text{CP}_A - \text{CP}_B = 62.5 - 51.2 = 11.3 \text{ Rs} \] Step 5: Conclusion.
Thus, the difference between the price at which fruit seller A and fruit seller B buy mangoes is ₹11. Therefore, the correct answer is (B).