**Chapter 8 Comparing Quantities Exercise 8.3**

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:

(a) Here, CP = ₹ 250

SP = ₹ 325

Since SP > CP

∴ Profit = SP – CP

= ₹ 325 – ₹ 250 = ₹ 75

Hence, the required profit = ₹ 75

and Profit per cent = 30%

(b) Here, CP = ₹ 12,000

SP = ₹ 13,500

Since SP > CP

∴ Profit = SP – CP

= ₹ 13,500 – ₹ 12,000 = ₹ 1,500

Hence, the required profit = ₹ 1500 × 100

profit % = 12%

(c) Here, CP = ₹ 2500

SP = ₹ 3000

Since SP > CP

∴ Profit = SP – CP

= ₹ 3000 – ₹ 2500 = ₹ 500

Hence, the required profit = ₹ 500 and profit% = 20%

(d) Here, CP = ₹ 250

SP = ₹ 150

Here CP > SP

∴ Loss = CP – SP

= ₹ 250 – ₹ 150 = ₹ 100

Hence, the required loss = ₹ 100 and loss% = 40%

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:

(a) 3 : 1

Sum of the ratio parts = 3 + 1 = 4

(b) 2 : 3 : 5

Sum of the ratio parts = 2 + 3 + 5 = 10

(c) 1 : 4

Sum of the ratio parts =1 + 4 = 5

(d) 1 : 2 : 5

Sum of the ratio parts = 1 + 2 + 5 = 8

Question 5.

I buy a TV for ₹ 10,000 and sell it at a profit of 20%. How much money do I get for it?

Solution:

Here, CP = ₹ 10,000

Profit = 20%

SP = ?

Hence, the required money got by me = ₹ 12,000.

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:

SP of the washing machine = ₹ 13,500

Loss = 20%

CP = ?

Hence, the cost price of the machine = ₹ 16875.

Question 8.

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

Solution:

CP of book = ₹ 275

Loss = 15%

Hence, the required selling price = ₹ 233.75

Question 10.

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

Solution:

Given: Principal = ₹ 56,000

Interest = ₹280

Time = 2 years

Rate = ?

Hence, the required rate = 0.25%

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:

Given: Interest = ₹ 45

Time = 1 year

Rate = 9% p.a.

Hence, the required sum = ₹ 500.