NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.3

NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.3, are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.3.

NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.3

Question 1.
Tell what is the profit or loss in the following transactions. Also find profit percent or loss per cent in each case.

(a) Gardening shears bought for ₹ 250 and sold for ₹ 325.
(b) A refrigerater bought for ₹ 12,000 and sold at ₹ 13,500.
(c) Acupboard bought for ₹ 2,500 and sold at ₹ 3,000.
(d) A skirt bought for ₹ 250 and sold at ₹ 150.

Solution:
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 12
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 13

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:
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 14
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 15
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 16

Question 3.
The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.
Solution:
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 17

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:
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 18

Question 5.
1 buy a T.V. for ₹ 10,000 and sell it at a profit of 20%. How much money do I get for it?
Solution:
C.P. = ₹ 10,000
Profit = 20% of C.P.
= 20% of ₹ 10,000
= ₹ \(\frac { 20 }{ 100 } \) × 10,000 = ₹ 2,000
∴ S.P. = C.P. + Profit
= ₹ 10,000 + ₹ 2,000 = ₹ 12,000
Hence, I get ₹ 12,000 for it.

Question 6.
Juki sells a washing machine for ₹ 13,500. She loses 20% in the bargain. What was the price at which she brought it?
Solution:
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 19

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 is 3 g, what is the weight of the chalk stick?
Solution:
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 20

Question 8.
Amina buys a book for ₹ 275 and sells it at a loss of 15%. How much does she sell it for?
Solution:
C.P. = ₹ 275
Loss = 15% of C.P = \(\frac { 15 }{ 100 } \) × C.P
= \(\frac { 15 }{ 100 } \) × 275 = ₹ 41.25
S.P. = C.P. – Loss
= 275 – 41.25 = ₹ 233.75
hence, she se11 it for ₹ 233.75.

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 aat 5% p.a.

Solution:
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 21
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 22

Question 10.
What rate gives ₹ 280 as interest on a sum of ₹ 56,000 in 2 years?
Solution:
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 23

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:
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities 24

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