A shopkeeper sold 5/8 of his articles at a gain of 20% and the remaining at the cost price. What is his gain percentage in the whole transaction?
12 1/2%
Let the total number of articles be x. So, the number of articles sold at a gain of 20% = 5x/8, and the number of articles sold at cost price = 3x/8.
Cost price of 5x/8 articles = (5x/8) * (Cost price per article)
Selling price of 5x/8 articles = (5x/8) * (Cost price per article * 1.2) = 1.2 * (5x/8) * (Cost price per article)
For the remaining 3x/8 articles, the selling price is equal to the cost price.
The total gain = (Total selling price) - (Total cost price) = (Selling price of 5x/8 articles) + (Selling price of 3x/8 articles) - (Cost price of total x articles).
After calculation, the overall gain percentage is 12 1/2%.
Important Questions from Profit & Loss
A shopkeeper offers the following discount schemes for buyers.
I. Two successive discounts of 15% and 20%
II. Successive discount of 25% and 10%
III. A discount of 33%
The selling price will be minimum under the scheme:The marked price of 55 items was equal to the cost price of 99 items. The selling price of 56 items was equal to the marked price of 35 items. Calculate the profit or loss percentage from the sale of each item.
In an election between two candidates, P received 42% of the valid votes and Q won by 45,360 votes. 20% people did not cast their vote. If 10% of the votes cast were found invalid, what is the total number of votes registered in the poll booth?
- I bought two bicycles for ₹1,200. I sold the first one at a loss of 13% and the second at a gain of 11%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first bicycle.
- A dealer buys two articles X and Y for ₹1,500 each. He marks each of them at the same price. He sells X by giving two successive discounts of 25% and 44% and still earns 279 as profit. If he sells Y at a single discount of 58%, then what is the profit percentage on Y?
