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A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs.30.09, thereby making a profit of 25%. The cost price of the manufacturer is
  • a)
    15
  • b)
    16
  • c)
    17
  • d)
    18
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A manufacturer sells a pair of glasses to a wholesale dealer at a pro...
To find the cost price of the manufacturer, we can work backwards from the final selling price of Rs.30.09.

Let's assume the cost price of the manufacturer is x.

Profit for the manufacturer:
The manufacturer sells the glasses to the wholesale dealer at a profit of 18%, which means the selling price to the wholesale dealer is 118% of the cost price:
Selling price to wholesale dealer = x + 18% of x = 1.18x

Profit for the wholesaler:
The wholesaler sells the glasses to the retailer at a profit of 20%, which means the selling price to the retailer is 120% of the price they paid to the manufacturer:
Selling price to retailer = 1.18x + 20% of 1.18x = 1.18x + 0.236x = 1.416x

Profit for the retailer:
The retailer sells the glasses to the customer at a profit of 25%, which means the selling price to the customer is 125% of the price they paid to the wholesaler:
Selling price to customer = 1.416x + 25% of 1.416x = 1.416x + 0.354x = 1.77x

Now, we know that the selling price to the customer is Rs.30.09, so we can set up the equation:
1.77x = Rs.30.09

Solving for x, we find:
x = Rs.30.09 / 1.77 ≈ Rs.17

Therefore, the cost price of the manufacturer is Rs.17.

So, the correct answer is option 'C'.
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Community Answer
A manufacturer sells a pair of glasses to a wholesale dealer at a pro...
Let C.P. for the manufacturer = Rs. 100
C.P. for the wholesaler = Rs. 118
C.P. for the retailer = 118 + 20%
= Rs. 141.60
C.P. for the customer = Rs. 177
If C.P. for the customer is Rs. 177, then C.P. for the manufacturer is Rs. 100.
Hence if C.P. for the customer is Rs. 30.09, then
C.P. for the manufacturer = 100/177x 30.09
= Rs.17
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A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs.30.09, thereby making a profit of 25%. The cost price of the manufacturer isa)15b)16c)17d)18Correct answer is option 'C'. Can you explain this answer?
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