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

A trader lists his articles $20\%$ above the cost price and allows a discount of $10\%$ on cash payment. His gain percent is _____.

Tarun bought a TV at a $20\%$ discount on the labelled price. Had he bought it with $25\%$ discount, he would have saved $₹500.$ At what price did he buy the TV?

The purchase tax on an article is levied at the rate of $66\frac{2}{3}\%$ of its wholesale price, while the retailer's profit amounts to $20\%$ of the retail price of the article. What is the wholesale price of an article which is retailed at $₹12.50?$

A tradesman sells one kind of sugar at $₹3/\mathrm{kg}$ and loses $20\%$ and another kind of sugar at $₹5/\mathrm{kg}$ and gains $25\%.$ He mixes them together in equal proportion and sells the mixture at $₹6/\mathrm{kg}.$ What is his gain percent?

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 $₹1.$ What was the charge of the dinner?

A merchant buys $200$ kilograms of rice at $₹1.25$ per kilogram and $400$ kilograms of rice at $₹0.75$ per kilogram. He mixes them and sells one-third of the mixture at $₹1$ per kilogram. At what rate should he sell the remaining mixture so that he may earn a profit of $25\%$ on the whole outlay?

The price of an article was increased by $p\%.$ Later, the new price was decreased by $p\%.$ If the latest price is $₹1,$ the original price was _____.

A businessman sells an old machine for $₹1150$ after earning some profit. Had he sold it for $₹910,$ his loss would have been ${\frac{7}{5}}^{\mathrm{th}}$ of the profit. What was the cost price of the machine?