Mathematics Class Eight   Class 8 Subject List

NCERT Solutions Math



Comparing Quantities

Exercise 2

1. A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

Answer: Let us assume the initial salary =100

So, salary after hike = 100+100 10%=100+10=110

comparing quantities 1

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?

Answer: Actual decrease in number of visits

= 845-169=676

comparing quantities 2

3. A shopkeeper buys 80 articles for Rs 2,400 and sells them for a profit of 16%. Find the selling price of one article.

Answer: Profit = CP x % profit

comparing quantities 3

4. The cost of an article was Rs 15,500. Rs 450 were spent on its repairs. If it is sold for a profit of 15%, find the selling price of the article.

Answer: CP = Cost + Overheads

= 15500 + 450 = 15950

Profit = CP x % profit

comparing quantities 4

So, SP = CP+Profit

= 15950 + 2392.50 = 18342.50

5. A VCR and TV were bought for Rs 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 percent on the whole transaction.

comparing quantities 5

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 Rs 1450 and two shirts marked at Rs 850 each?

Answer: Total Price of a pair of jeans and two shirts

= 1450 + 2 x 850 = 3150

Discount = Marked Price x % Discount

comparing quantities 6

Effective Price After Discount = 3150 - 315 = 2835

7. A milkman sold two of his buffaloes for Rs 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.

Answer: Suppose the CP of each buffalo = 100

After 5% profit, SP = 105

After 10% loss SP = 90

comparing quantities 7

8. The price of a TV is Rs 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: Sales Tax = Price x Tax Rate

comparing quantities 8

Final Price = 13000 + 1560 = 14560

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

comparing quantities 9

10. I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added.

comparing quantities 10

 
 


   
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