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The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%. Finally, the retailer sells it to a customer at a profit of 50%. If the customer pays Rs 4290 for the table, then its manufacturing cost (in Rs) is
  • a)
    1500
  • b)
    2000
  • c)
    2500
  • d)
    3000
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The manufacturer of a table sells it to a wholesale dealer at a profit...
Given data:
Profit of manufacturer = 10%
Profit of wholesale dealer = 30%
Profit of retailer = 50%
Selling price to customer = Rs 4290

Let the manufacturing cost of the table be x.
Then, the selling price of the table by the manufacturer to the wholesale dealer will be:
Selling price = x + 10% of x = 1.1x
Similarly, the selling price of the table by the wholesale dealer to the retailer will be:
Selling price = 1.1x + 30% of 1.1x = 1.43x
Finally, the selling price of the table by the retailer to the customer will be:
Selling price = 1.43x + 50% of 1.43x = 2.145x

Given that the customer pays Rs 4290 for the table, we can equate the selling price to the customer with the calculated value:
2.145x = 4290
x = Rs 2000

Therefore, the manufacturing cost of the table is Rs 2000. Hence option B is the correct answer.
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Community Answer
The manufacturer of a table sells it to a wholesale dealer at a profit...
Let the manufacturing price of the table be 'X'.
The manufacturer earns 10% profit on it.
Therefore, he sold the table for = Rs. {(110/100) * x}.
= 1.1x

The wholesaler bought the table for Rs. 1.1x earns 30% profit on it. (Here, the principal would be the price at which the wholesaler bought and NOT the manufacturing price)
So, the wholesaler sold it for = Rs. {(130/100) * 1.1x}.
= Rs. 1.43x

The retailer bought the table for Rs. 1.43x and earns 50% profit on it.
So, the retailer sold it for = Rs. {(150/100) * 1.43x}.
= Rs. 2.145x

Selling price for the retailer = Buying price for the customer. The customer paid Rs. 4290 for the table.

2.145x = 4290
x = 4290/2.145

x = 2000

Therefore, the manufacturing cost of the table was Rs. 2000.
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The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%. Finally, the retailer sells it to a customer at a profit of 50%. If the customer pays Rs 4290 for the table, then its manufacturing cost (in Rs) isa)1500b)2000c)2500d)3000Correct answer is option 'B'. Can you explain this answer?
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