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A shopkeeper sells some toys at Rs. 250 ...

A shopkeeper sells some toys at Rs. 250 each. To find out what percent profit he makes, which of the following information is / are necessary ?
I. number of toys sold
II. cost price of each toy

A

If I alone is sufficient

B

If II alone is sufficient

C

I and II together are not sufficient

D

Neither I is needed nor II is needed

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The correct Answer is:
To determine what percent profit the shopkeeper makes by selling toys at Rs. 250 each, we need to analyze the information provided and the necessary data required to calculate the profit percentage. ### Step-by-Step Solution: 1. **Understand the Given Information**: - Selling Price (SP) of each toy = Rs. 250. - We need to find out the profit percentage. 2. **Profit Percentage Formula**: - The formula for calculating profit percentage is: \[ \text{Profit Percentage} = \left( \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \right) \times 100 \] - Here, we need to know both the Selling Price (which is given) and the Cost Price (CP). 3. **Evaluate the Necessary Information**: - **I. Number of Toys Sold**: This information is not necessary to calculate the profit percentage. Even if we know how many toys were sold, we still need the cost price of each toy to find the profit percentage. The number of toys sold will affect the total profit but not the percentage. - **II. Cost Price of Each Toy**: This information is crucial. Without knowing the cost price, we cannot calculate the profit percentage. We need the cost price to substitute into the profit percentage formula. 4. **Conclusion**: - From the analysis, we conclude that: - The first information (number of toys sold) is not necessary. - The second information (cost price of each toy) is necessary. - Therefore, the answer is that only the second information is required to calculate the profit percentage. ### Final Answer: The necessary information to find out what percent profit the shopkeeper makes is: **II. Cost price of each toy.**
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UPKAR PUBLICATION -MISCELLANEOUS EXERCISE -V-QUESTION BANK
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