A dealer marks his goods 25% above the cost price and then allows 10% discount on it. What is the cost price of an article on which he gains ₹50 ?
₹400
The dealer marks the goods 25% above cost, then gives 10% discount on the marked price. Work with the cost price (CP) as the base.
Marked Price = CP + 25% of CP = 1.25 × CP.
Selling Price = Marked Price − 10% discount = 1.25 × CP × (1 − 0.10) = 1.25 × 0.90 × CP = 1.125 × CP.
Gain = Selling Price − CP = 1.125 × CP − CP = 0.125 × CP.
We are told the gain is ₹50:
0.125 × CP = 50
CP = 50 / 0.125 = ₹400.
Check: CP ₹400 → marked ₹500 → after 10% discount SP = ₹450 → gain ₹50. Correct.
So the cost price is ₹400. A common trap is treating 25% mark-up and 10% discount as a flat 15% profit, which would wrongly give CP = ₹50 / 0.15 ≈ ₹333; the two percentages act on different bases, so they do not simply subtract. The values ₹350, ₹380 and ₹425 do not yield exactly ₹50 gain.
Similar Questions
A shopkeeper sold two articles at Rs. 12,000 each. He sold one article at a profit of 20% and the other one at a loss of 20%. What is the net gain or loss to the shop keeper?
A shopkeeper sells a refrigerators for Rs 22,000 and makes a profit of 10%. If he desires to make a profit of 18%, what should be his selling price?
A tradesman sold an article at a loss of 20%. If the selling price had been increased by ₹100, there would have been a gain of 5%. What was the cost price of the article (₹)?
70% of the cost price of an article is equal to 50% of its selling price. The percentage of profit or loss on the cost price is
Two old cars are sold for Rs. 48,000 each. One is sold at a profit of 20% and another at a loss of 20%. Find the net profit/loss percentage and the total amount of profit/loss.
Important Questions from Profit and Loss
- Veer bought some sharpeners at the rate of ₹180/dozen. He sold them for ₹23 each. His profit percentage is ____ % (rounded off to two decimal places).
- A shopkeeper lists the price of a fan at 60% above its cost price and offers a 15% discount on its list price. If he earns a profit of ₹117, then what is the list price (in ₹) of the fan?
- The marked price of an article is ₹800. It is sold at two successive discounts of 24% and 15%, respectively. Find the selling price of the article.
- A discount of 13% on the marked price of an article is allowed and then the article is sold for ₹348. The marked price of the article is:
- A trader claims to sell grains at a profit of 29%, but also dishonestly uses a weight which is 13% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
