A shopkeeper buys a laptop for 40,000. He first sells it at a 20% profit. Later, the buyer ₹ sells it to another person at a 10% loss. What is the final selling price of the laptop?
Option A
This is a chain-of-transactions profit-and-loss problem, where the item is sold, and then the new owner sells it again. The trick is to compute each stage on the cost price of that particular seller, because a profit or loss percentage always refers to the price at which that person bought the item.
Stage 1 — the shopkeeper sells: The shopkeeper's cost price is ₹40,000 and he books a 20% profit.
Profit = 20% of 40,000 = 0.20 × 40,000 = ₹8,000.
Selling price = 40,000 + 8,000 = ₹48,000. (Equivalently, 40,000 × 1.20 = 48,000.)
Stage 2 — the buyer resells at a 10% loss: For this second seller, the cost price is now ₹48,000 (what he paid), not the original ₹40,000. A 10% loss on 48,000:
Loss = 10% of 48,000 = 0.10 × 48,000 = ₹4,800.
Final selling price = 48,000 − 4,800 = ₹43,200. (Equivalently, 48,000 × 0.90 = 43,200.)
So the final selling price of the laptop is ₹43,200.
The most common error is to apply the 10% loss on the original ₹40,000 (giving 40,000 × 0.90 = 36,000) instead of on ₹48,000. Another mistake is to combine +20% and −10% into a net +10% and take 44,000; the successive-percentage effect is 1.20 × 0.90 = 1.08, i.e. only an 8% net gain, giving ₹43,200.
Similar Questions
- Big Mart is offering $5\%$ discount on card payment. How much percentage above cost price should the marked price be so as to make a profit of $10\%$?
- If a shopkeeper added $20\%$ on the cost price as marked price and gave $20\%$ discount, then how much was his profit or loss percent?
- What is the cost price of articles sold for ₹390 if $20\%$ is the total gain?
- If the selling price of an article is 3 times the discount offered and if the percentage of the discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.
- A vendor purchases an article for ₹500 and sells it for ₹550. What is the percentage gain?
- Rupert purchases a second-hand TV for ₹4,600, spends some money on its repairs, and then sells it for ₹5,406, thereby earning a profit of 6%. How much did Rupert spend on the repairs?
- Atulit buys an old bicycle for ₹4,000 and spends ₹400 towards its repairs. If he sells the bicycle for ₹5,000, his percentage gain is:
- By selling articles at ₹31, a shopkeeper losses 7%. What will the profit percentage be when he sells the same article at ₹35?
- A Man sold 2 articles for ₹4,000 each, gained 15% on one and lost 15% on the other. What is the total gain or loss rounded to the nearest integer?
- The sum of cost prices of two bikes is ₹1,00,000. One bike was sold at a profit of 20% and the second one was sold at a loss of 20%. If the selling prices are same, what is the cost price of the first bike sold?
Important Questions from Profit and Loss
Rohit buys 8 pens and 4 pencils for Rs. 2400. He sells pencils at a profit of 20 percent and pens at the loss of 10 percent. If his overall profit is Rs. 240, then what is the sum of the cost price of one pen and one pencil?
The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?
If the selling price of 7 articles is equal to the cost price of 6 articles, then what is the percentage loss?
An article when sold at a gain of 5%, yields Rs. 15 more than when sold at a loss of 5%. The cost price will be
What will be cost price of an item which when sold at the profit of 5% and at the loss of 5% the difference of selling prices be Rs. 60?
