**NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2**

NCERT
Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.2 are the part of NCERT Solutions for
Class 8 Maths. Here you can find the NCERT Solutions for Class 8 Maths Chapter
8 Comparing Quantities Ex 8.2**.**

**Ex 8.2 Class 8 Maths Question 1.**

A man
got a 10% increase in his salary. If his new salary is ₹ 1,54,000, find his
original salary.**Solution:****
**The
increased salary of the man = ₹ 1,54,000

The increase in salary = 10%

Increased salary = Original salary × (1 + 10%)

**Ex 8.2 Class 8 Maths Question 2.**

On
Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the
per cent decrease in the people visiting the Zoo on Monday?**Solution:****
**The number
of people visiting the Zoo on Sunday = 845

The number of people visiting the Zoo on Monday = 169

Decrease in number of people visiting the Zoo = 845 – 169 = 676

Percentage decrease

**Ex 8.2 Class 8 Maths Question 3.**

A
shopkeeper buys 80 articles for ₹ 2,400 and sells them for a profit of 16%.
Find the selling price of one article.**Solution:****
**Cost
price of 80 articles = ₹ 2,400

Cost price of 1 article = ₹ 2400/80 = ₹ 30

Profit = 16%

**Ex 8.2 Class 8 Maths Question 4.**

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.**Solution:
**Cost price of the article = ₹ 15,500

Money spent on repairs = ₹ 450

Net cost price = ₹ 15,500 + ₹ 450 = ₹ 15,950

Profit = 15%

Hence, the selling price of the article is ₹ 18342.50.

**Ex 8.2 Class 8 Maths Question 5.**

A VCR and TV were bought for ₹ 8,000 each. The
shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the
gain or loss per cent on the whole transaction.

**Solution:
**Cost price of the VCR = ₹ 8,000

Loss = 4%

**Ex 8.2 Class 8 Maths Question 6.**

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 8.2 Class 8 Maths Question 7.**

A milkman sold two of his buffaloes for ₹ 20,000
each. On one he made a gain of 5% and on the other a loss of 10%. Find his
overall gain or loss. [**Hint:**Find CP of each]

**Solution:
**Selling price of a buffalo = ₹ 20,000

Gain = 5%

**Ex 8.2 Class 8 Maths Question 8.**

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 8.2 Class 8
Maths Question 9.**

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 8.2 Class 8 Maths Question 10.**

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 8.2 Class 8 Maths Question 11.**

An article was purchased for ₹ 1239 including GST of 18%. Find
the price of thearticle 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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