a grocey man sells 300 apples at Rs 50 per dozen. he sells 200 apples from it at Rs 50 for 10 apples. what will the price per apple for the remaining apples to get an overall profit of 12%
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a grocery man bought 300 apples ... ?
We need the cost price to establish the profit.
assuming Reiny's question is accurate, then
200(50/10) + 100p = 300(50/12)(1.12)
p = 4
check:
cost = 300(50/12) = 1250
revenue:
200 @ 50/10 = 1000
100 @ 4 = 400
total: 1400 = 1250*1.12
To find the price per apple for the remaining apples, we first need to calculate the cost and revenue for both sets of apples.
1. Cost and Revenue for the 300 apples sold initially:
- The grocer sells 300 apples at Rs 50 per dozen. So, the cost price for each dozen is Rs 50.
- Since one dozen has 12 apples, the cost price per apple for this set of apples is Rs 50 / 12.
- The revenue from selling 300 apples is 300 * (Rs 50 / 12).
2. Cost and Revenue for the 200 apples sold at Rs 50 for 10 apples:
- The grocer sells 200 apples from the initial 300 at Rs 50 for 10 apples.
- So, the revenue from selling these 200 apples is 200 * (Rs 50 / 10).
Now, to find the remaining apples, we subtract the apples sold initially (200) from the total number of apples (300). Therefore, the remaining apples are 300 - 200 = 100.
To achieve an overall profit of 12%, we need to calculate the desired total revenue.
3. Desired total revenue for a 12% profit:
- The total cost price of the remaining apples can be calculated as the cost price per apple for the initial 300 apples multiplied by the number of remaining apples (100): Cost price of remaining apples = (Rs 50 / 12) * 100.
- The desired total revenue can be obtained by adding the total cost price of the remaining apples and 12% of the desired total cost price: Desired total revenue = (Cost price of remaining apples) + 1.12 * (Cost price of remaining apples).
Now, we can calculate the price per apple for the remaining apples.
4. Price per apple for the remaining apples:
- Price per apple = (Desired total revenue) / (Number of remaining apples).
By following these steps, you should be able to calculate the price per apple for the remaining apples to achieve an overall profit of 12%.