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Sahil sold a fan to Ankit at a profit of...

Sahil sold a fan to Ankit at a profit of 10%. Ankit sold the fan to Pulkit at a profit of 20%. If Pulkit pays Rs 330 for fan, then for how much (in Rs.) Sahil bought the fan?

A

300

B

280

C

340

D

250

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will break down the transactions between Sahil, Ankit, and Pulkit. ### Step 1: Understand the problem Sahil sells a fan to Ankit at a profit of 10%. Ankit then sells the fan to Pulkit at a profit of 20%. We know that Pulkit pays Rs 330 for the fan. We need to find out how much Sahil originally bought the fan for. ### Step 2: Let’s denote Sahil's cost price Let’s assume Sahil bought the fan for Rs 100. This is a convenient assumption to simplify our calculations. ### Step 3: Calculate the selling price from Sahil to Ankit Sahil sells the fan to Ankit at a profit of 10%. - Profit = 10% of 100 = Rs 10 - Selling Price (SP) from Sahil to Ankit = Cost Price (CP) + Profit = 100 + 10 = Rs 110 ### Step 4: Calculate the selling price from Ankit to Pulkit Ankit sells the fan to Pulkit at a profit of 20% on the price he bought it for (Rs 110). - Profit = 20% of 110 = Rs 22 - Selling Price (SP) from Ankit to Pulkit = Cost Price (CP) + Profit = 110 + 22 = Rs 132 ### Step 5: Relate Pulkit's payment to the selling price We know that Pulkit pays Rs 330 for the fan. We can set up a proportion to find the actual cost price of Sahil based on the selling price to Pulkit. - We have established that Ankit sold the fan for Rs 132, but Pulkit actually paid Rs 330. ### Step 6: Calculate the ratio Now, we can find the ratio of Pulkit's payment to the selling price from Ankit to Pulkit: - Ratio = 330 / 132 ### Step 7: Simplify the ratio To simplify: - 330 ÷ 132 = 2.5 This means that the cost price Sahil assumed (Rs 100) will also need to be multiplied by this ratio to find out how much Sahil actually bought the fan for. ### Step 8: Calculate Sahil's cost price Now we calculate Sahil's cost price: - Sahil's Cost Price = 100 * (330 / 132) - Simplifying further: - 330 ÷ 132 = 2.5 - Sahil's Cost Price = 100 * 2.5 = Rs 250 ### Conclusion Thus, Sahil originally bought the fan for Rs 250.
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