NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities

NCERT Solutions for Class 7 Maths Below is a link to a pdf file that you can download. If pupils want to improve their math scores, they must practice each area appropriately. Using NCERT Solutions for Class 7 Maths might help you get more marks. INFINITY learns specialists tackle problems step by step with clear explanations.

There are three exercises in Chapter 8 – Comparing Quantities, and the NCERT Solutions for Class 7 Maths offered on this website provide answers to the questions in the exercises.

The ideas covered in this chapter of Class 7 Maths NCERT Solutions are listed below.

• Ratios of Equivalence
• Another technique to compare quantities is to use percentages.
• How to convert fractions to percentages

• Decimal to Percentage Conversion
• Percentage to Fraction or Decimal Conversion
• Percentage usage
• Percentage Interpretation
• Percentage to “How Many” Conversion

• Percentage Ratios
• As a percentage increase or decrease
• Price of an Item or Purchasing and Selling
• Profit or Loss as a Percentage
• Charge Given on Borrowed Money or Simple Interest

• Interest for Multiple Years

NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities

8. Comparing Quantities

NCERT Solutions for Class 7 Maths Chapter 8 Includes:

• Exercise 8.1 Solutions: 3 Questions (1 Short Question).
• Exercise 8.2 Solutions: 10 Questions (6 Short Questions).
• Exercise 8.3 Solutions: 11 Questions (4 Short Questions).

Facts

• The ratios of various amounts (of the same kind) are compared.
• The ratios of two fractions are equivalent if they are equal.
• The four quantities are in proportion when two ratios are equal.
• The numerator of fractions with a denominator of 100 is a percentage. A percentage can also be used to compare amounts.

• Drop the percent sign and shift the decimal point two positions to the left to convert a percent to decimal.
• Multiply a fraction by 100 and write the percent sign to the right of the figure to convert it to percent.
• When SP > CP, profit = SP – CP.
• When CP > SP, loss = CP – SP.
• CP is usually used to compute percent gain or loss.

• The principle is the amount of money borrowed.
• (P x R x T)/100 = simple interest
• The amount equals the sum of the principal and interest.

Ratio

Knowing “how many times one quantity is of the other” or “what part one quantity is of the other” is what comparison means. The ratio of quantities of the same kind and in the same units is known as the ratio of quantities of the same kind and in the same units.

The a/b ratio is defined as the ratio of two numbers ‘a’ and ‘b’ ([Equation]). In its simplest form, a ratio is also known as a ratio in the simplest terms.

Note: In order to compare two quantities or find their ratio, their units must be the same. Different ratios can also be compared using the ‘like-fractions’ method.

As A Percentage Of Profit Or Loss

We know that the cost price (CP) of an item is the price at which it is purchased, and the selling price is the price at which it is sold (SP).

Note

1. If CP > SP, then the transaction is profitable, and Profit = SP – CP.

1. If CP > SP, then the transaction represents a loss, and Loss = CP – SP.

1. The CP is always used to compute percent profit or loss.

Interest (Simple)

The borrowed funds are referred to as the Principal (or sum borrowed). The borrower must pay a fee to the bank in exchange for borrowing the bank’s funds for a period of time. This extra cash is referred to as interest. Amount refers to the total amount of money repaid including interest.

Amount = the principal + interest.

For a one-year period, interest is usually calculated in %. The rate of interest is usually expressed in percent per year or per annum. P stands for principal, R for the rate of interest, and T for time.

Now, simple interest, or I = PRT/100, is defined as Interest = (Principal x Rate x Time)/100.

FAQ:

Is it true that the NCERT Solutions for Class 7 Maths Chapter 8 can help you pass your board exams?

Yes, NCERT Solutions for Class 7 Maths Chapter 8 is an essential chapter in the NCERT Solutions for Class 7 Maths. These answers are centered on understanding numerous Math shortcuts and strategies for quick and easy computations. This encourages them to study and pass the Maths subject in their board exams.

How do NCERT Solutions for Class 7 Maths Chapter 8 aid in the understanding of geometrical shapes’ areas and volumes?

Our faculty has produced NCERT Solutions for Class 7 Maths Chapter 8 in an interactive manner to help students comprehend the topics. Students can use the PDF of solutions as a primary study resource to increase their speed and accuracy when solving issues.

Give a brief description of NCERT Solutions for Class 7 Maths Chapter 8?

There are three exercises in Chapter 8 of NCERT Solutions for Class 7 Maths. NCERT Solutions for Class 7 Maths Chapter 8 covers the following topics:

1. Ratios of Equivalence
2. Percentage-Another technique to compare quantities is to use percentages.
3. Percentage conversion from fractions
4. Decimal to Percentage Conversion
5. Fraction or Decimal to Percentage Conversion
6. Percentage usage
7. Percentage Interpretation
8. Percentage to “How Many” Conversion
9. Percentage Ratios
10. Percentage Increase or Decrease
11. The Cost of an Item or the Cost of Buying and Selling
12. Percentage Profit or Loss
13. Simple Interest or Charge on Borrowed Money
14. Affiliation with a Company for a Long Period of Time.