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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 at 25% profit. If the cost price for the customer is Rs. 30.09, then the cost price for the manufacturer must have been:
  • a)
    Rs. 15
  • b)
    Rs. 16
  • c)
    Rs. 17
  • d)
    Rs. 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 prof...
Given data:
Cost price for the customer = Rs. 30.09
Profit percentage for manufacturer = 18%
Profit percentage for wholesaler = 20%
Profit percentage for retailer = 25%

Calculating the cost price for the manufacturer:
Let the cost price for the manufacturer be Rs. x.

Calculating the selling price at each stage:
1. Manufacturer selling price = Cost price + 18% profit
= x + 0.18x
= 1.18x
2. Wholesaler selling price = Manufacturer selling price + 20% profit
= 1.18x + 0.20 * 1.18x
= 1.18x + 0.236x
= 1.416x
3. Retailer selling price = Wholesaler selling price + 25% profit
= 1.416x + 0.25 * 1.416x
= 1.416x + 0.354x
= 1.77x
Given that the cost price for the customer is Rs. 30.09, we can set up the equation:
1.77x = 30.09
Now, solve for x:
x = 30.09 / 1.77
x ≈ 17
Therefore, the cost price for the manufacturer must have been Rs. 17. Hence, option C is the correct answer.
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Community Answer
A manufacturer sells a pair of glasses to a wholesale dealer at a prof...
Let the C.P for the manufacturer be Rs. 100.
Then C.P for the wholesaler = Rs. 118
C.P for the retailer = 118 × (120/100) = Rs. 141.60
C.P for the customer = 141.60 × (125/100) = Rs. 177
If the C.P for the customer is Rs. 177, then the C.P for the manufacturer is 100.
Therefore, if the C.P for the customer is Rs. 30.09, then the C.P for the manufacturer = (100/177) × 30.09
= Rs. 17
Hence, option (c) is correct.
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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 at 25% profit. If the cost price for the customer is Rs. 30.09, then the cost price for the manufacturer must have been:a)Rs. 15b)Rs. 16c)Rs. 17d)Rs. 18Correct answer is option 'C'. Can you explain this answer?
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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 at 25% profit. If the cost price for the customer is Rs. 30.09, then the cost price for the manufacturer must have been:a)Rs. 15b)Rs. 16c)Rs. 17d)Rs. 18Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 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 at 25% profit. If the cost price for the customer is Rs. 30.09, then the cost price for the manufacturer must have been:a)Rs. 15b)Rs. 16c)Rs. 17d)Rs. 18Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 at 25% profit. If the cost price for the customer is Rs. 30.09, then the cost price for the manufacturer must have been:a)Rs. 15b)Rs. 16c)Rs. 17d)Rs. 18Correct answer is option 'C'. Can you explain this answer?.
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