S K Gupta and Anubhuti Gangal Solutions for Exercise 2: Exercise

An author receives royalty at $7\frac{1}{2} \%$ of the selling price of the first $5000$ books; $10\%$ of the selling price on the next $5000$ books;$12\frac{1}{2}\%$ of the selling price on the rest of the sales. How much will he receive if $15,000$ copies are sold at $₹ 80$ each?

A $4$ metre elastic band is increased by $10\%$. Find its new length.

The length of a wire is decreased by $12\frac{1}{2}\%$. What is the new length if it was $150$ metres?

In a certain year, the population of a state is $8$ crore. If it increases by $2\%$ every year, what will be its population after one year?

The speed of a car is $80 \mathrm{km}/\mathrm{hour}$. It is (i) increased by $10\%$ (ii) decreased by $10\%$. Find the new speed of the car in the two cases.

A mixture contains $70\%$ nitre, $12\%$ sulphur and rest charcoal. What is the amount of charcoal in $15 \mathrm{kg}$ of mixture?

There are $160$ eggs in a tray. $15\%$ of the eggs broke. How many good eggs are there in the tray?

A man left $25\%$ of his money to his wife, $55\%$ to his daughter and the remaining $₹ 9000$ to his son. How much money did he leave? Find the shares of his wife and daughter.