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Mohan sold a car at Rs. 15000 after giving some discount to Rohan who further sold it to Sunil at 20% profit. This way Sunil ends up paying Rs. 2000 more than the actual marked price of car. Find the discount percent given by Mohan to Rohan?
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Mohan sold a car at Rs. 15000 after giving some discount to Rohan who ...
Understanding the Problem
Mohan sold a car to Rohan for Rs. 15,000 after offering a discount. Rohan then sold the car to Sunil at a 20% profit, which resulted in Sunil paying Rs. 2,000 more than the car's marked price. We need to find out the discount percentage given by Mohan to Rohan.
Given Data
- Selling Price (SP) for Rohan = Rs. 15,000
- Profit percentage for Rohan = 20%
- Sunil's payment = Marked Price (MP) + Rs. 2,000
Finding the Marked Price
Let the marked price of the car be MP. According to the information provided:
- Sunil’s payment = MP + Rs. 2,000
Since Rohan sold the car at a 20% profit:
- Selling Price (for Rohan) = Cost Price (CP) + Profit
- CP = SP / (1 + Profit Percentage)
- CP = 15,000 / (1 + 0.20) = 15,000 / 1.20 = Rs. 12,500
Thus, Rohan's selling price to Sunil can be calculated as:
- SP (to Sunil) = CP * 1.20 = Rs. 12,500 * 1.20 = Rs. 15,000
Finding the Marked Price
Now substituting into Sunil's payment:
- MP + 2,000 = 15,000
- MP = 15,000 - 2,000 = Rs. 13,000
Calculating the Discount
Now, we can find the discount Mohan gave to Rohan:
- Discount = Marked Price - Selling Price
- Discount = 13,000 - 15,000 = -2,000 (Realized mistake, we need to reverse this.)
This indicates that Mohan's SP (Rs. 15,000) is above the marked price (Rs. 13,000).
Finding the Discount Percentage
- Discount = 13,000 - 15,000 = Rs. 2,000
- Discount Percentage = (Discount / MP) * 100 = (2,000 / 13,000) * 100 = 15.38%
Conclusion
The discount percentage given by Mohan to Rohan is approximately 15.38%.
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Mohan sold a car at Rs. 15000 after giving some discount to Rohan who further sold it to Sunil at 20% profit. This way Sunil ends up paying Rs. 2000 more than the actual marked price of car. Find the discount percent given by Mohan to Rohan?
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Mohan sold a car at Rs. 15000 after giving some discount to Rohan who further sold it to Sunil at 20% profit. This way Sunil ends up paying Rs. 2000 more than the actual marked price of car. Find the discount percent given by Mohan to Rohan? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about Mohan sold a car at Rs. 15000 after giving some discount to Rohan who further sold it to Sunil at 20% profit. This way Sunil ends up paying Rs. 2000 more than the actual marked price of car. Find the discount percent given by Mohan to Rohan? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mohan sold a car at Rs. 15000 after giving some discount to Rohan who further sold it to Sunil at 20% profit. This way Sunil ends up paying Rs. 2000 more than the actual marked price of car. Find the discount percent given by Mohan to Rohan?.
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