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?
3,93,750
Let the total number of votes be V. 20% of V did not cast their vote, so 80% of V cast their vote. Out of this, 10% of the votes were invalid, so 90% of 80% of V were valid votes. The difference between the valid votes for P and Q is 45,360. Solving the equation gives the total number of votes as 3,93,750.
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: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?
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.
- 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?
