R. Gupta Solutions for Chapter: Profit and Loss, Exercise 1: EXERCISE

A tradesman sell one kind of sugar at Rs. $3$ per kg and loses $20$ percent and another kind of sugar at Rs. $5$ per kg and gain $25$ percent. He mixes them together in equal proportion and sell the mixture at Rs. $6$ per kg. What is his gain percent? 

A dealer sold a machine to a shopkeeper at $20\%$ profit. The shopkeeper sold the machine to a customer so as to get $25\%$ profit for himself. The difference between the selling price of dealer and that of the shopkeeper was found to be Rs. $129$. What is the initial price of the machine?

At a cricket match the contractor provided dinner for $24$ persons, and fixed the price so as to gain $12\frac{1}{2}\%$ upon his total outlay. Three of the cricketers being absent, the remaining $21$ paid the fixed price for their dinner, and as such the contractor lost $1$ rupee. What was the charge of the dinner?

A man bought a horse and a cart. If he sold the horse at $10\%$ loss and the cart at $20\%$ gain he would not loss anything. If he sold the horse at $5\%$ loss and the cart at $5\%$ gain he would loss Rs. $10$ in the bargain. What did he pay for each?

A merchant buys $200$ kilograms of rice at Rs. $1.25$ per kilogram, $400$ kilograms of rice at $75$ paise per kilogram. He mixes them and sells one third of the mixture at one rupee per kilogram. At what rate should he sell the remaining mixture so that he may earn a profit of $25\%$ on the whole outlay?

A man buys goods and finds that the cost of carriage is $4\%$ on the cost of goods. He is compelled to sell at a loss of $5\%$ of his total outlay. If he had received Rs. $32.50$ more than he did, he would have gained $2\frac{1}{2}\%$. What was the original cost of the goods?

The price of an article was increased by p%. later the new price was decreased by p%. If the latest price is Rs. $1$, the original price was?

A businessman sells an old machine for Rs.$1150$ after taking some profit. Had it sold it for Rs. $910$ his loss would have been $\frac{7}{5}$ of the profit. What was the cost price of that machine?