NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Ex 7.2
Ex 7.2 Class 8 Maths Question 1.
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?
Solution:
Marked price (MP) of a pair of jeans = ₹ 1,450
Marked price of two shirts = ₹ 850 × 2 = ₹ 1,700
Total marked price = ₹ 1,450 + ₹ 1,700 = ₹ 3,150
Discount = 10%
Ex 7.2 Class 8 Maths Question 2.
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.
Solution:
Marked price of the TV = ₹ 13,000
Sales tax = 12%
The required amount that Vinod will have to pay is ₹ 14,560.
Ex 7.2 Class 8 Maths Question 3.
Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is ₹ 1,600, find the marked price.
Solution:
Let the marked price of the skates be ₹ 100.
Discount = ₹ 20% of 100 = ₹ 20
Selling price = ₹ 100 – ₹ 20 = ₹ 80
If selling price is ₹ 80, then the marked price = ₹ 100
If selling price is ₹ 1, then the marked price = ₹ 100/80
If selling price is ₹ 1,600, then the marked price = ₹ 100/80 × 1600 = ₹ 2,000
Thus, the marked price of the pair of skates is ₹ 2000.
Ex 7.2 Class 8 Maths Question 4.
I purchased a hair-dryer for ₹ 5,400 including 8% VAT. Find the price before VAT was added.
Solution:
Let the original price of hair-dryer be ₹ 100.
VAT = 8% of 100 = ₹ 8
Selling price = ₹ 100 + ₹ 8 = ₹ 108
If selling price is ₹ 108, then the original price = ₹ 100
If selling price is ₹ 1, then the original price = ₹ 100/108
If selling price is ₹ 5,400, then the original price = ₹ 100/108 × 5,400 = ₹ 5,000
Thus, the price of the hair-dryer before the VAT was added is ₹ 5000.
Ex 7.2 Class 8 Maths Question 5.
An article was purchased for ₹ 1239 including GST of 18%. Find the price of the article before GST was added?
Solution:
Let the price of the article before GST was added be ₹ 100.
GST = 18% of 100 = ₹ 18
Selling price = ₹ 100 + ₹ 18 = ₹ 118
If selling price is ₹ 118, then the original price = ₹ 100
If selling price is ₹ 1, then the original price = ₹ 100/118
If selling price is ₹ 1,239, then the original price = ₹ 100/118 × 1,239 = ₹ 1,050
Thus, the price of the article before the GST was added is ₹ 1050.
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