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 fruit seller A was able to sell 80% of his stock of pineapples and B was able to sell 75% of his stock of pineapples, what percent of the pineapples bought by the two fruit sellers remained unsold?

• A. 22.22%
• B. 22.5%
• C. 23.67%
• D. 24%
• E. 25%

Hint:

To calculate the percentage of unsold goods, subtract the quantity sold from the total quantity bought, then divide by the total quantity bought and multiply by 100.

Answer 1

The Correct Option is A

Step 1: Given Data
- Fruit seller A sold 80% of his pineapples. - Fruit seller B sold 75% of his pineapples. - From the first graph, the quantity of pineapples sold by seller A is 80 kg, and by seller B, it is 60 kg. From the second graph, we see that the stock of pineapples bought by fruit sellers A and B is: - A bought 100 kg of pineapples. - B bought 80 kg of pineapples. Step 2: Calculate the total number of pineapples sold by A and B
- For seller A, 80% of his stock was sold: \[ \text{Pineapples sold by A} = 100 \times 0.80 = 80 \, \text{kg} \] - For seller B, 75% of his stock was sold: \[ \text{Pineapples sold by B} = 80 \times 0.75 = 60 \, \text{kg} \] Step 3: Calculate the total number of pineapples bought by A and B
The total quantity of pineapples bought by A and B is: \[ \text{Total pineapples bought} = 100 + 80 = 180 \, \text{kg} \] Step 4: Calculate the unsold pineapples
The unsold pineapples are the difference between the total pineapples bought and the pineapples sold: - For seller A, the unsold pineapples are: \[ \text{Unsold by A} = 100 - 80 = 20 \, \text{kg} \] - For seller B, the unsold pineapples are: \[ \text{Unsold by B} = 80 - 60 = 20 \, \text{kg} \] The total unsold pineapples are: \[ \text{Total unsold pineapples} = 20 + 20 = 40 \, \text{kg} \] Step 5: Calculate the percentage of unsold pineapples
The percentage of unsold pineapples is calculated as: \[ \text{Percentage of unsold pineapples} = \frac{40}{180} \times 100 = 22.22% \] Step 6: Conclusion
Thus, the percentage of pineapples bought by the two fruit sellers that remained unsold is \(22.22%\). Therefore, the correct answer is (A).