A man sells a bicycle for ₹990 at a loss of 10%. At what price (in ₹) should he sell the bicycle to earn a profit of 24%?
1,364
The correct answer is 1,364.
SP1 = CP × (1 - 0.10) = CP × 0.9 So, CP = \frac{\text{SP1}}{0.9} = \frac{990}{0.9} = 1100 . If we want a 24% profit, the selling price is 124% of the cost price (100% + 24% = 124%). SP2 = CP × (1 + 0.24) = CP × 1.24 Substituting the calculated CP: SP2 = 1100 \times 1.24 = ₹1364. This method is more direct once the concept of percentage change multipliers is understood.
Similar Questions
By selling 20 items, a shopkeeper gets a profit equal to the selling price of 5 items. What is his profit percentage?
A shopkeeper is buying goods from a wholesaler. The wholesaler sells 1265 units of the goods to the shopkeeper, earning a profit equal to the selling price of 165 units of the goods. Find the profit percentage of the wholesaler.
After giving two successive discounts of 30% and 40% on the marked price, an article is sold for Rs. 420. Find the marked price of the article.
A shopkeeper sold an article at 25% profit. On selling it for ₹225 more he would get a profit of 40%. The cost price of the article was:
The cost price of milk is increased to ₹62 from ₹60. The milkman sold milk at 10% profit earlier. What is his profit% now if he sells milk at the same rate?
Ram sold two bags at ₹1,260 each. On one, he gained 20% and on the other, he lost 20%. Find his gain or loss percentage in the whole transaction.
During the previous year, the price of an electronic item increased by 10%, and this year, the price of the same item decreased by 10%. If the price of the electronic item at present is ₹66,000, then what was the price of the discussed electronic item in the beginning of the previous year? (Rounded off to one decimal place)
A piece of land was sold to a person through two middlemen, each gaining 25%. If the person purchased the land for ₹6,25,000, the original cost (in ₹) of the land was:
The selling price of an article is 5/6 times the cost price. What is the loss percentage (correct up to two decimal places)?
By selling two articles, each for Rs. 270, a shopkeeper gains the cost price of one article. The cost price of one article and the profit percentage, respectively, are:
Important Questions from Successive Selling
The increase in the price of a certain item was 25%. Then the price was decreased by 20% and then again increased by 10%. What is the resultant increase in the price?
- The selling price of 24 articles is equal to the cost price of 26 articles. If, due to a change in market conditions, the selling price of each article decreases by $10\%$ and the cost price of each article increases by $5\%$, what will be the new gain or loss percentage (correct to two decimal places)?
Anil bought some articles at 6 for Rs. 8 and sold them at 10 for Rs. 12. His percentage loss or gain is:
The price of an article becomes Rs. 63 after a decrease of 30 percent. Find the original price. (in Rs.)
A man buys an article for 10 percent less than its value and sells it for 10 percent more than its value. His profit or loss percent is:
