Question

A manufacturer sells glasses to a wholesaler at 18% profit. The wholesaler sells to a retailer at 20% profit. The retailer sells to a customer for ₹30.09 at 25% profit. What is the manufacturer's cost price?

• A. ₹15
• B. ₹20
• C. ₹17
• D. ₹18
• E. ₹14

Hint:

For successive profits, multiply the cost price by all profit factors $(1 + r/100)$ to find the final price.

Answer 1

The Correct Option is C

Step 1: Analyse options.
- Let CP be $x$. - $x \times 1.18 \times 1.20 \times 1.25 = 30.09$. - $x \times 1.77 = 30.09$. - $x = \frac{30.09}{1.77} = 17$.
Step 2: Conclusion.
The manufacturer's cost price is ₹17. Final Answer: (c) ₹17