Cengage Experts Team (CET) Solutions for Exercise 1: Practice Exercise

When the price of an article is reduced by $20\%$, its sale increases by $40\%$. Find the percentage change in the total amount of receipts.

A merchant buys goods at a discount of $33$$\frac{1}{3}$% on the catalogue price, and pays import duty of $20\%$ on the net cost of the goods. If he seeks to realise a profit of $25\%$on his cost, then what should he charge for an article priced at $\mathrm{Rs}.300$in the catalogue?

By selling a watch at a profit of $10\%$ a man receives $\mathrm{Rs}.15$ more than half of the cost price of the watch. What is the cost price of the watch?

A person bought two shirts. The cost price of the costlier shirt exceeds the cost price of the cheaper shirt by $\frac{1}{4}$th of the cost price of the cheaper shirt. He sold the costlier shirt at a gain of $50\%$ and the cheaper shirt at a gain of $25\%$ and received $\mathrm{Rs}.125$ as total SP. Find the cost price of the cheaper shirt?

A trader bought $50$ toys and sold $15$ toys at a gain of $25\%$, $25$ toys at a gain of $20\%$ and the rest of the toys he sold at the C.P. Had the trader sold all the toys at a gain of $15\%$, he would have incurred a loss of Rs. $25$. Find the cost price of one toy assuming that all the toys have the same cost price ?

A man sells two tables for $\mathrm{Rs}.1200$ each, one at a profit of $20\%$ and the other at a loss of $20\%$. Find his gain or loss (in percentage)?

If A buys $11$books for $Rs.10$and sells $10$ books for $Rs. 12$, find his gain in percentage?

If A's income is $60\%$ of B's income and A's expenditure is $70\%$of B's expenditure. If A's income is $75\%$ of B's expenditure, find the ratio of A's savings to B's savings?