A fruit vendor buys 300 apples at Rs 50 per dozen. The vendor sold 200 of them at Rs 50 per 10 apples. At what rate per apple should the vendor sell the remaining apples to make an overall profit of 12% ?
cost: 300/12 * 50 = 1250
12% profit = 150
so, he needs total sales of 1400
1st 200: 200/10 * 50 = 1000
the remaining 100 apples must sell for 400, or Rs40 each
cost price per apple = 50/12 = 25/6
total paid for the 300 apples = 300(25/6) = 1250
to have an overall profit of 12%,
the total selling price must be 1.12(1250) = 1400
so far he sold 200 at 50/10
so far he took in 200(50/10) = 1000
so he needs to make Rs 400 on the remaining 100 apples
or
400/100 = Rs 4 per apple
check:
200 apples @ Rs 5 = 1000
100 apples @ Rs 4 = 400
total = 1400
pleaseof give me conformation how came 4 apple i don't understood please rply fast and i hope answer is positive
To find the rate at which the vendor should sell the remaining apples to make an overall profit of 12%, we first need to calculate the cost price and the selling price of the apples.
1. Cost price of the apples:
The vendor buys 300 apples at Rs 50 per dozen. Since a dozen contains 12 apples, the cost price per apple is 50/12 = Rs 4.17 (approximately).
2. Selling price of the first 200 apples:
The vendor sold 200 apples at Rs 50 per 10 apples. So, the selling price per apple is 50/10 = Rs 5.
Now, let's calculate the total cost and total selling price of the first 200 apples:
Total cost price = Cost price per apple * Number of apples sold
= Rs 4.17 * 200
= Rs 834
Total selling price = Selling price per apple * Number of apples sold
= Rs 5 * 200
= Rs 1000
Since the vendor wants to make an overall profit of 12%, the total selling price should be 112% of the total cost price. Let's calculate the required total selling price:
Required selling price = 112% of the total cost price
= 112/100 * Rs 834
≈ Rs 933.408
The vendor has already sold the first 200 apples for Rs 1000. Therefore, to make a profit of 12%, the total selling price of all 300 apples should be Rs 933.408.
Now, let's calculate the selling price of the remaining 100 apples:
Selling price of the remaining apples = Total required selling price - Selling price of the first 200 apples
= Rs 933.408 - Rs 1000
≈ Rs -66.592 (negative value)
Since we cannot sell the remaining apples at a negative price, it's not possible to make an overall profit of 12% by selling the remaining apples.
Therefore, the vendor cannot sell the remaining apples at any rate per apple to make an overall profit of 12%.