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- Comparing Quantities : Solution of NCERT Exercise 8.2

**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

**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

**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

**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

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.**

**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

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

**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

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.**

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

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