Final answer:
To calculate Raja's net profit percentage, we consider the 30% markup, the 10% discount, and the profit gained from using a faulty balance that reads 1000 gm for 850 gm. After combining these factors, Raja's effective net profit percentage is approximately 47.06%, which is closest to a 50% profit from the given options.
Step-by-step explanation:
The student's question pertains to the calculation of net profit percentage, considering markup, discount, and the use of a faulty balance. Here's a step-by-step explanation:
- Raja marks up his goods by 30%. For instance, if the cost price (CP) is $100, the selling price (SP) after markup would be $130.
- He then offers a 10% discount on the marked price, which is $130, so the discount amounts to $13. Therefore, the final selling price becomes $117.
- The use of a faulty balance gives the customer less product, with 1000 gm being only 850 gm. This means for every 1000 gm he should be giving, he is effectively only giving 850 gm. This represents an additional profit of ($1000/$850) - 1 = 17.65% (approx).
- To find the overall profit percentage, we combine the markup and the faulty balance's effect: Profit% = (130% - 90%)*(1000/850) = 40% * 1.1765 = 47.06% (approx).
- After discount, the selling price remains at $117, but due to the faulty balance, the effective cost is less. Thus, the profit is more than the earlier markup of 30%.
- The net profit is therefore 47.06%, which means he has a 47.06% profit.
Overall, considering the markup of 30%, a discount of 10%, and the effect of the faulty balance, Raja's net profit percentage is approximately 47.06%, which means the closest answer from the given options assuming a slight variation due to rounding would be a 50% profit.