A dealer sells a product at 15% profit. If he had bought it at 10% less and sold it for ₹126 less, he would have gained 20%. Find the cost price.
₹1,800
Let the original cost price be \(x\).
Original selling price at 15% profit: \(SP_1 = 1.15x\).
In the second case, the cost price is 10% less: \(0.9x\), and the gain is 20%, so the second selling price is \(SP_2 = 1.2 \times 0.9x = 1.08x\).
The second selling price is ₹126 less than the first: \(1.15x - 126 = 1.08x\).
Rearranging: \(1.15x - 1.08x = 126\), so \(0.07x = 126\).
Therefore \(x = \frac{126}{0.07} = 1800\).
Hence, the cost price is ₹1,800.
Similar Questions
- I bought two frocks for ₹1,200. I sold the first one at a loss of 7% and the second at a gain of 23%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first frock.
- The selling price of 40 books is equal to the cost price of 28 books. Find the loss or gain percentage.
- I bought two toy guns for ₹1,200. I sold the first one at a loss of 8% and the second at a gain of 16%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first toy gun.
- By selling $50$ mangoes for $₹30$, a person loses $10\%$. How many mangoes should he sell for $₹28$ to gain $20\%$?
- Sarita buys two old Samsung and three Mi mobile phones for ₹40,200. If she sells the Samsung phones at a 10% profit and the Mi phones at a 20% profit then her total profit is ₹5,640. The cost price of the Mi phone is:
- The cost price of 19 pens is equal to the selling price of 16 pens. Percentage gain is:
- X purchased a car at ₹ 1,50,000 and then sold it to Y at a profit of 5%. Y later sold it back to X at a loss of 2%. Find the overall profit or loss for X in the entire transaction
- The cost price of a car was ₹1,50,000. It was sold by X at a profit of 5% to Y. It was later sold back to X by Y at a 1% loss. Find X's profit in the entire transaction.
- A vendor sells 10 oranges for ₹1 and gains $30\%$. How many oranges did he buy for ₹1?
- Sohan lost $20\%$ by selling his old fan for ₹1,500. At what price (in ₹) he should have sold it to get $20\%$ profit?
Important Questions from Profit and Loss
Ram bought a chair at 35% discount on its market price, Had Ram got no discount, he would have had to pay ₹245 more. How much did Ram pay for the chair?
A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?
A man sells two articles at Rs. 9,180 each. He gains 8% on one article and loses 15% on the other. His overall profit or loss is:
A shopkeeper selling an article for ₹46 loses 8%. In order to gain 6%, what should be the selling price of the article?
Rahul purchased 80 items from the market. 25% items of the total items were defective and the remaining items were sold at 50% profit. What will be the overall profit percentage?
