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. The sale of fruit seller B by selling apple and grapes is what percent more than the sale of fruit seller A by selling the same fruits?

• A. 6.8%
• B. 8.2%
• C. 9.5%
• D. 10.1%
• E. 10.8%

Hint:

To calculate percentage change in sales, subtract the original value from the new value, divide by the original value, and multiply by 100.

Answer 1

The Correct Option is A

Step 1: Calculate the total sale of fruit seller A for apple and grapes.
From the first graph, the quantities sold by fruit seller A for apple and grapes are:
- Apple: 120 kg
- Grapes: 90 kg
From the second graph, the prices per kg of apple and grapes sold by fruit seller A are:
- Apple price: ₹140/kg
- Grapes price: ₹200/kg
The total sale for seller A is calculated as: \[ \text{Sale of A} = (120 \times 140) + (90 \times 200) \] \[ \text{Sale of A} = 16800 + 18000 = 34800 \text{ Rs} \] Step 2: Calculate the total sale of fruit seller B for apple and grapes.
From the first graph, the quantities sold by fruit seller B for apple and grapes are:
- Apple: 90 kg
- Grapes: 80 kg
From the second graph, the prices per kg of apple and grapes sold by fruit seller B are:
- Apple price: ₹120/kg
- Grapes price: ₹180/kg
The total sale for seller B is calculated as: \[ \text{Sale of B} = (90 \times 120) + (80 \times 180) \] \[ \text{Sale of B} = 10800 + 14400 = 25200 \text{ Rs} \] Step 3: Calculate the percentage more sale by seller B than seller A.
To calculate the percentage increase, we use the formula: \[ \text{Percentage more} = \frac{\text{Sale of B} - \text{Sale of A}}{\text{Sale of A}} \times 100 \] Substituting the values: \[ \text{Percentage more} = \frac{25200 - 34800}{34800} \times 100 = \frac{-9600}{34800} \times 100 \approx 6.8% \] Step 4: Conclusion.
Thus, the sale of fruit seller B by selling apple and grapes is approximately \(6.8%\) more than the sale of fruit seller A by selling the same fruits. Therefore, the correct answer is (A).