NCERT Solutions for Chapter: Comparing Quantities, Exercise 1: Exercise

If amount on the principal of $\mathrm{Rs} 6,000$ is written as $6000{\left(1+\frac{5}{100}\right)}^3$ and compound interest payable half yearly, then rate of interest p.a. is _____ and time in years is _____.

In $1975$, the consumption of water for human use was about $3850 \mathrm{cu}.\mathrm{km}/\mathrm{year}$. It increased to about $6000 \mathrm{cu}.\mathrm{km}/\mathrm{year}$ in the year $2000$. Find the per cent increase in the consumption of water from $1975$ to $2000$. Also, find the annual per cent increase in consumption (assuming water consumption increases uniformly).

The food labels given below give information about $2$ types of soup: cream of tomato and sweet corn. Use these labels to answer the given questions. (All the servings are based on a $2000$ calorie diet.)

Which can be measured more accurately : the total amount offat in cream of tomato soup or the total amount of fat in sweetcorn soup? Explain.

Store $A$ and Store $B$ both charge $\mathrm{Rs}.750$ for a video game. This week the video game is on sale for $\mathrm{Rs}.600$ at Store $B$ and for $25\%$ off at Store $A$. At which store is the game less expensive?

With the decrease in prices of tea by $15\%$ Tonu, the chaiwallah, was able to buy $2 \mathrm{kg}$ more of tea with the same $\mathrm{Rs}. 45$ that he spent each month on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea?

During school hours, Neha finished $73\%$ of her homework and Minakshi completed $\frac{5}{8}$ of her homework. Who must finish a greater per cent of homework?

A student used the proportion $\frac{n}{100}=\frac{5}{32}$ to find $5\%$ of $32$. What did the student do wrong?

The table shows the cost of sunscreen of two brands with and without sales tax. Which brand has a greater sales tax rate? Give the sales tax rate of each brand.