A wholesaler purchased 7 hair clips for a rupee. How many for a rupee must he sell to get profit of 40%?
Question
A wholesaler purchased 7 hair clips for a rupee. How many for a rupee must he sell to get profit of 40%?
Solution 1
Step 1: First, we need to find out the cost price of each hair clip. The wholesaler purchased 7 hair clips for a rupee, so the cost price of each hair clip is 1/7 = 0.14 rupees.
Step 2: The wholesaler wants to make a profit of 40%. So, the selling price of each hair clip should be 140% of the cost price.
Step 3: To calculate the selling price, we multiply the cost price by 140%. So, 0.14 * 140/100 = 0.196 rupees.
Step 4: Now, we need to find out how many hair clips the wholesaler can sell for a rupee to get this selling price. So, 1/0.196 = approximately 5.1.
Since the wholesaler can't sell a fraction of a hair clip, he must sell 5 hair clips for a rupee to get a profit of 40%.
Solution 2
Step 1: Determine the cost price of each hair clip.
The wholesaler purchased 7 hair clips for 1 rupee, so the cost price of each hair clip is 1/7 = 0.14 rupees.
Step 2: Calculate the selling price for a 40% profit.
A 40% profit on the cost price of 0.14 rupees is 0.14 * 0.40 = 0.056 rupees.
So, the selling price of each hair clip should be the cost price plus the profit, which is 0.14 + 0.056 = 0.196 rupees.
Step 3: Determine how many hair clips he can sell for a rupee to get a 40% profit.
Since the selling price of each hair clip should be 0.196 rupees for a 40% profit, the wholesaler can sell 1/0.196 = approximately 5 hair clips for a rupee to get a 40% profit.
So, the wholesaler must sell approximately 5 hair clips for a rupee to get a 40% profit.
Solution 3
Step 1: First, we need to find out the cost price of each hair clip. The wholesaler purchased 7 hair clips for 1 rupee, so the cost price of each hair clip is 1/7 = 0.14 rupees.
Step 2: The wholesaler wants to make a profit of 40%. So, the selling price of each hair clip should be 140% of the cost price. We calculate this as follows: 0.14 rupees * 140/100 = 0.20 rupees.
Step 3: Now, we need to find out how many hair clips the wholesaler can sell for 1 rupee to get a profit of 40%. We do this by dividing 1 rupee by the selling price of each hair clip: 1/0.20 = 5.
So, the wholesaler must sell 5 hair clips for a rupee to get a profit of 40%.
Solution 4
Step 1: First, we need to find out the cost price of each hair clip. The wholesaler purchased 7 hair clips for 1 rupee, so the cost price of each hair clip is 1/7 = 0.14 rupees.
Step 2: The wholesaler wants to make a profit of 40%. So, the selling price of each hair clip should be 140% of the cost price. We calculate this as follows: 0.14 rupees * 140/100 = 0.20 rupees.
Step 3: Now, we need to find out how many hair clips the wholesaler can sell for 1 rupee to achieve this selling price. We do this by dividing 1 rupee by the selling price of each hair clip: 1/0.20 = 5.
So, the wholesaler must sell 5 hair clips for a rupee to get a profit of 40%.
Solution 5
Step 1: First, we need to find out the cost price of each hair clip. The wholesaler purchased 7 hair clips for a rupee, so the cost price of each hair clip is 1/7 = 0.14 rupees.
Step 2: The wholesaler wants to make a profit of 40%. So, the selling price of each hair clip should be 140% of the cost price. We calculate this as follows: 0.14 * 140/100 = 0.196 rupees.
Step 3: Now, we need to find out how many hair clips the wholesaler can sell for a rupee to get this selling price. We do this by dividing 1 rupee by the selling price of each hair clip: 1/0.196 = approximately 5.1.
Since the wholesaler can't sell a fraction of a hair clip, he must sell 5 hair clips for a rupee to get a profit of 40%.
Solution 6
Step 1: First, we need to find out the cost price of each hair clip. The wholesaler purchased 7 hair clips for 1 rupee, so the cost price of each hair clip is 1/7 = 0.14 rupees.
Step 2: The wholesaler wants to make a profit of 40%. So, the selling price of each hair clip should be 140% of the cost price. We calculate this as follows: 0.14 rupees * 140/100 = 0.20 rupees.
Step 3: Now, we need to find out how many hair clips the wholesaler can sell for 1 rupee to achieve this selling price. We do this by dividing 1 rupee by the selling price of each hair clip: 1/0.20 = 5.
So, the wholesaler must sell 5 hair clips for a rupee to get a profit of 40%.
Solution 7
Step 1: First, we need to find out the cost price of each hair clip. The wholesaler purchased 7 hair clips for 1 rupee, so the cost price of each hair clip is 1/7 = 0.14 rupees.
Step 2: The wholesaler wants to make a profit of 40%. So, the selling price of each hair clip should be 140% of the cost price. We calculate this as follows: 0.14 rupees * 140/100 = 0.20 rupees.
Step 3: Now, we need to find out how many hair clips the wholesaler can sell for 1 rupee to get a profit of 40%. We do this by dividing 1 rupee by the selling price of each hair clip: 1/0.20 = 5.
So, the wholesaler must sell 5 hair clips for a rupee to get a profit of 40%.
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