NCERT Solutions Class 8 Maths Chapter 7 Exercise 7.2
NCERT Solutions for Class 8 Maths Chapter 7 – Comparing Quantities Ex 7.2 are given here in simple, step-by-step form. NCERT stands for the National Council of Educational Research and Training, the body that makes your textbook. Exercise 7.1 was about ratios and percentages. Exercise 7.2 uses percentages in money problems that you meet every day, such as discount on a sale price, profit and loss in a shop, and the tax added to a bill. Once you learn to work with percentages of an amount, all of these become easy.
This exercise has 11 questions. They cover discount on marked price, cost price and selling price, profit per cent and loss per cent, sales tax and GST added on top of a price, and simple buying and selling in daily life. Every question below is solved in short steps, with the final answer in bold. Students can use this page for homework and revision, parents can use it to check the work at home, and teachers can use it in class. A free printable PDF of these solutions is also available for offline study.
NCERT Solutions Class 8 Maths Chapter 7 Exercise 7.2
Comparing Quantities
Medium
Comparing Quantities
Medium
Comparing Quantities
Difficult
Comparing Quantities
Difficult
Comparing Quantities
Difficult
Words and Formulas Used in Exercise 7.2
- Marked Price (MP): the price written on the item before any discount.
- Discount: the amount taken off the marked price. Discount = Marked Price − Sale Price. Discount is usually given as a percentage of the marked price.
- Cost Price (CP): the price at which a shopkeeper buys an item. Selling Price (SP): the price at which it is sold.
- Profit happens when SP is more than CP. Loss happens when SP is less than CP.
- Profit % = (Profit ÷ CP) × 100 and Loss % = (Loss ÷ CP) × 100. Both are always found on the cost price.
- Sales Tax or GST is added on top of the selling price. Tax amount = tax% of the price. GST stands for Goods and Services Tax.
Exercise 7.2 – Questions and Answers
Q1. During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at ₹1450 and two shirts marked at ₹850 each?
Answer:
Total marked price
= ₹(1450 + 2 × 850)
= ₹(1450 + 1700)
= ₹3150
Given, discount = 10%
Discount
= ₹(3150 × 10/100)
= ₹315
Also,
Discount = Marked price − Sale price
⇒ ₹315 = ₹3150 − Sale price
⇒ Sale price = ₹(3150 − 315)
= ₹2835
Thus, the customer will have to pay ₹2835.
Q2. The price of a TV is ₹13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it.
Answer:
The price of the TV = ₹13,000
Sales tax = 12%
Sales tax
= ₹(12/100 × 13,000)
= ₹1560
∴ Required amount
= Cost + Sales Tax
= ₹13,000 + ₹1560
= ₹14,560
Therefore, Vinod will have to pay ₹14,560 for the TV.
Q3. Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is ₹1600, find the marked price.
Answer:
Let the marked price be ₹x.
Discount %
= Discount / Marked Price × 100
20 = Discount/x × 100
Discount = 20x/100
= 1/5 x
Also,
Discount = Marked price − Sale price
1/5 x = x − ₹1600
x − 1/5 x = ₹1600
4/5 x = ₹1600
x = ₹1600 × 5/4
x = ₹2000
Therefore, the marked price of the skates was ₹2000.
Q4. I purchased a hair-dryer for ₹5400 including 8% VAT. Find the price before VAT was added.
Answer:
It is given that the price of the hair dryer includes VAT.
Let us suppose the price without VAT be ₹100, then the price including VAT will be ₹108.
When price including VAT is ₹108, original price = ₹100
When price including VAT is ₹5400, original price
= ₹(100/108 × 5400)
= ₹5000
Thus, the price of the hair-dryer before the addition of VAT was ₹5000.
Q5. The cost of an article was ₹15,500. ₹450 were spent on its repairs. If it is sold for a profit of 15%, find the selling price of the article.
Answer:
The cost of an article = ₹15,500
The amount spent on repairs = ₹450
∴ Total cost of article
= Cost + Overhead expenses
= ₹15,500 + ₹450
= ₹15,950
Profit %
= Profit / C.P. × 100
⇒ 15 = Profit / ₹15,950 × 100
∴ Profit
= ₹(15,950 × 15/100)
= ₹2392.50
We know,
S.P. of an article = C.P. + Profit
= ₹(15,950 + 2392.50)
= ₹18,342.50
Therefore, the selling price of the article is ₹18,342.50.