**Comparing Quantities**

**Question 1.****Tell what is the profit or loss in the following transactions. Also find profit per cent or loss per cent in each case.(a)** Gardening shears bought for ₹ 250 and sold for ₹ 325.

**(b)**A refrigerator bought for ₹ 12,000 and sold at ₹ 13,500.

**(c)**A cupboard bought for ₹ 2,500 and sold at ₹ 3,000.

**(d)**A skirt bought for ₹ 250 and sold at ₹ 150.

**Solution:**

**Question 2.****Convert each part of the ratio to percentage :(a)** 3 : 1

**(b)**2 : 3 : 5

**(c)**1 : 4

**(d)**1 : 2 : 5

**Solution:**

**Question 3.****The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.**

**Solution:**

Original population of the city = 25000

Decreased population of the city = 24500

∴ Decrease in population = 25000 – 24500 = 500

∴ Percentage of decrease = ( × 100 ) % = 2%

**Question 4.****Arun bought a car for ₹ 3,50,000. The next year, the price went upto ₹ 3,70,000. What was the percentage of price increase?**

**Solution:**

Original cost of the car = ₹ 3,50,000

Increased cost of the car = ₹ 3,70,000

∴ Increase in price = ₹ (370000 – 350000)

= ₹ 20,000

∴ Percentage increase = ( × 100 )% = % = 5 %

**Question 5.****I buy a T.V. for ₹ 10,000 and sell it at a profit of 20%. How much money do I get for it?**

**Solution:**

**Question 6.****Juhi sells a washing machine for ? 13,500. She loses 20% in the bargain. What was the price at which she bought it?**

**Solution:**

We have, S.P. = ₹13,500 and loss = 20%.

**Question 7.****(i)** Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk.**(ii)** If in a stick of chalk, carbon in 3g, what is the weight of the chalk stick?

**Solution:**

**Question 8.****Amina buys a book for ₹ 275 and sells it at a loss of 15%. How much does she sell it for?**

**Solution:**

**Question 9.****Find the amount to be paid at the end of 3 years in each case :(a)** Principal = ₹ 1,200 at 12% p.a.

**(b)**Principal = ₹ 7,500 at 5% p.a.

**Solution:**

**Question 10.****What rate gives ₹ 280 as interest on a sum of ₹ 56,000 in 2 years?**

**Solution:**

**Question 11.****If Meena gives an interest of ₹ 45 for one year at 9% rate p.a. What is the sum she has borrowed?**

**Solution:**