If the manufacturer gains 6%, the wholesale dealer 8% and the retailer 10%,then what is the production cost of a vaccum cleaner whose retail price is

Question

If the manufacturer gains 6%, the wholesale dealer 8% and the retailer 10%,then what is the production cost of a vaccum cleaner whose retail price is

Rs 15741?

Answer 1

solve for x, the production cost

(1.06)(1.08)(1.1)x = 14741

Answer 2

Reiny's your answer is wrong.

8

Answer 3

To find the production cost of the vacuum cleaner, we need to work backward from the retail price and subtract the percentages gained by each party.

Let's start with the retailer. The retailer gains 10%, which means the retail price is 110% of the production cost.

So, we can set up the equation:
Retail price = 110% of production cost

Rs 15741 = 110% of production cost

To remove the percentage, we need to divide the retail price by 110% (or 1.1):

Production cost = Rs 15741 / 1.1

Now, let's move to the wholesale dealer. The dealer gains 8%, which means their price is 108% of the production cost.

So, we can set up another equation:
Wholesale price = 108% of production cost

To remove the percentage, we need to divide the production cost obtained from the previous step by 108% (or 1.08):

Wholesale price = Production cost / 1.08

Finally, let's consider the manufacturer. The manufacturer gains 6%, which means their price is 106% of the production cost.

So, we can set up one more equation:
Manufacturer's price = 106% of production cost

To remove the percentage, we need to divide the production cost obtained from the previous step by 106% (or 1.06):

Manufacturer's price = Production cost / 1.06

Thus, to calculate the production cost of the vacuum cleaner, follow these steps:

Step 1: Divide the retail price by 1.1 (or multiply by 100/110).
Step 2: Divide the result from Step 1 by 1.08 (or multiply by 100/108).
Step 3: Divide the result from Step 2 by 1.06 (or multiply by 100/106).

Let's calculate it using the given retail price of Rs 15741:

Step 1: Production cost = Rs 15741 / 1.1 ≈ Rs 14,310.91
Step 2: Production cost = Rs 14,310.91 / 1.08 ≈ Rs 13,271.92
Step 3: Production cost = Rs 13,271.92 / 1.06 ≈ Rs 12,520.96

Therefore, the production cost of the vacuum cleaner is approximately Rs 12,520.96.