**Comparing Quantities**

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

**Solution:**

Let the salary before increment be ₹ 100. Then,

Increase in salary = ₹ 10

∴ Increased salary = ₹ (100 +10) = ₹ 110

If increased salary is ₹ 110, original salary = ₹100

If increased salary is ₹ 154000, original salary

= ₹

= ₹ 14000

Hence, the salary of the man before increment was ₹ 140000.

**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:**

On Sunday the number of people went to Zoo = 845

On Monday the number of people went to Zoo = 169

∴ Decrease in the people visiting the Zoo = (845-169) =676

**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:**

CP of 80 articles = ₹ 24000

**Question 4.****The cost of an article is ₹ 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:**

The effective cost price of the article is equal to the price at which it was bought plus the repair cost.

∴ CP of the given article = ₹ (15500 + 450) = ₹ 15950

Profit =15%

∴ Profit =15% of ₹ 15950

= ₹ = ₹ 2392.50

∴ SP = CP + Profit

= ₹ (15950 + 2392.50) = ₹ 18342.50

**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:**

For VCR, we have

**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:**

For a pair of jeans, we have

**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.**

**Solution:**

For the first buffalo, we have

**Question 8.****The price of a TV is 713,000. 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:**

List price of TV = ₹ 13000

Rate of sales tax = 12%

∴ Sales tax = 12% of ₹ 13000

= ₹ = ₹ 1560

So, the total amount which Vinod had to pay for purchasing TV = ₹ (13000 +1560) = ₹ 14560.

**Question 9.****Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is 11,600, find the marked price.**

**Solution:**

Let the marked price of a pair of skates be ? 100.

Discount = 20% of MP

= 20% of ₹ 100 = ₹ 20

∴ SP = MP – Discount

= ₹ (100 – 20) = ₹ 80

Hence, the marked price of the pair of skates is ₹ 2000.

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

**Solution:**

Let the price of hair-dryer before VAT be ₹ x.

Hence, the price of hair-dryer before VAT was ₹ 5000.