Question No 58.Rahul steals 4 mangoes for every dozen whenever he purchases them from a farmer and his customers steal 2 mangoes for every dozen whenever they purchase the mangoes from Rahul. What is the profit or loss percentage of Rahul, if he marks a dozen at 25% above the price that is offered by the farmer and offers a discount of 9%?
Question
Question No 58.Rahul steals 4 mangoes for every dozen whenever he purchases them from a farmer and his customers steal 2 mangoes for every dozen whenever they purchase the mangoes from Rahul. What is the profit or loss percentage of Rahul, if he marks a dozen at 25% above the price that is offered by the farmer and offers a discount of 9%?
Solution
Step 1: Let's assume the cost price of a dozen mangoes for Rahul is Rs. 100.
Step 2: Rahul steals 4 mangoes for every dozen he purchases. So, he gets 16 mangoes for the price of 12. Therefore, the cost price of a dozen mangoes for Rahul is Rs. 100 * 12/16 = Rs. 75.
Step 3: Rahul marks a dozen at 25% above the price that is offered by the farmer. So, the marked price is Rs. 100 + 25% of Rs. 100 = Rs. 125.
Step 4: Rahul offers a discount of 9% on the marked price. So, the selling price is Rs. 125 - 9% of Rs. 125 = Rs. 113.75.
Step 5: Now, his customers steal 2 mangoes for every dozen they purchase. So, they get 12 mangoes for the price of 10. Therefore, the selling price of a dozen mangoes for Rahul is Rs. 113.75 * 12/10 = Rs. 136.5.
Step 6: Now, we can calculate the profit percentage. Profit percentage = [(Selling price - Cost price) / Cost price] * 100 = [(136.5 - 75) / 75] * 100 = 82%.
So, Rahul makes a profit of 82%.
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