# NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Comparing quantities means a relation in quantitative terms between two quantities. This deals with several topics like ratios, percentage, interest etc. In Ex 8.1, you will learn about equivalent ratios solved by comparing various ratios by converting them to a like fraction. Ratio means how many times one quantity is of the others. A :b denotes the ratio. Equivalent ratio means comparing ratio by converting them to like fractions. In Ex 8.2, students will learn about the percentage, which is another way to compare quantities—converting fractional numbers to a percentage, converting decimals to percentage and converting percentage to a fraction.

Percentage are numerators of a fraction having denominators as 100. In Ex 8.3 students will learn converting ratios to percent, increase or decrease as percent, prices related to an item or buying and selling, profit or loss as a percent and charges given on borrowed money or simple interest. The main topic and subtopics of this chapter are :

• Equivalent Ratio
• Percentage
• Converting fraction into percentage
• Converting decimals to percentage
• Converting percentage to fraction or decimal
• Use of percentage
• Interpreting percentage
• Ratios to a percentage
• Increase or decrease as per cent
• Price related to an item that is incurred during buying and selling
• Profit or loss as a percentage
• Simple interest
• Interest for multiple years