### 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 = ₹ 1,54,000

Increase in salary = 10%

Increase salary = Original salary × (1 + )

Hence, the original salary = ₹ 1,40,000

**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:**

Number of people visiting the Zoo on Sunday = 845

Number of people visiting the Zoo on Monday = 169

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

Decrease per cent

Hence, the decrease per cent = 80%

**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 of 1 article = ₹ 2400/80 = ₹ 30

Profit = 16%

Hence, the selling price of one article = ₹ 34.80

**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:**

CP of the article = ₹ 15,500

Money spent on repairs = ₹ 450

Net CP = ₹ 15,500 + ₹ 450 = ₹ 15,950

Profit = 15%

Hence, the selling price of article = ₹ 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 a VCR = ₹ 8,000

Loss = 4%

Hence, the shopkeeper gained 2% profit on the whole transaction.

**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 Jeans = ₹ 1,450

MP of two shirts = ₹ 850 × 2 = ₹ 1,700

Total MP = ₹ 1,450 + ₹ 1,700 = ₹ 3,150

Discount = 10%

Thus, the customer will have to pay ₹ 2,835.

**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:**

SP 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

ST = 12%

The required amount that Vinod has to pay = ₹ 14,560

**Ex 8.2 Class 8 Maths Question 9.**

**Arun bought a pair of skates at a sale where the discount is given was 20%. If the amount he pays is ₹ 1,600, find the marked price.**

**Solution:**

Let the MP of the skates be ₹ 100

Discount = ₹ 20% of 100 = ₹ 20

Sale price = ₹ 100 – ₹ 20 = ₹ 80

If SP is ₹ 80 then MP = ₹ 100

If SP is ₹ 1 then MP = ₹ 100/80

If SP is ₹ 1,600 then MP = ₹ 100/80 × 1600 = ₹ 2,000

Thus the MP = ₹ 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 be ₹ 100

VAT = 8% of 100 = ₹ 8

Sale price = ₹ 100 + ₹ 8 = ₹ 108

If SP is ₹ 108 then original price = ₹ 100

If SP is ₹ 1 then the original price = ₹ 100/108

If SP is ₹ 5,400 then the original price = ₹ 100/108 × 5,400 = ₹ 5,000

Thus, the price of hair-dryer before the addition of VAT = ₹ 5000.