Chapter 8 Comparing Quantities

Very Short Answer Type


Solution:
Comparing Quantities NCERT Extra Questions for Class 8 Maths Q2

Question 3.
If 20% of x is 25, then find x.
Solution:
20% of x = 25
Comparing Quantities NCERT Extra Questions for Class 8 Maths Q3
Hence x = 125

Question 4.
Express the following as a fraction
(a) 35%
(b) 64%
Solution:
Comparing Quantities NCERT Extra Questions for Class 8 Maths Q4


Comparing Quantities NCERT Extra Questions for Class 8 Maths Q7
Comparing Quantities NCERT Extra Questions for Class 8 Maths Q7.1
Hence, profit = 25%

Question 8.
An article is marked at ₹ 940. If it is sold for ₹ 799, then find the discount per cent.
Solution:
MP = ₹ 940
SP = ₹ 799
Discount = MP – SP = 940 – 799 = ₹ 141
Comparing Quantities NCERT Extra Questions for Class 8 Maths Q8
Hence, discount = 15%

Question 10.
Find the amount if ₹ 2,000 is invested for 2 years at 4% p.a. compounded annually.
Solution:
Comparing Quantities NCERT Extra Questions for Class 8 Maths Q10
Comparing Quantities NCERT Extra Questions for Class 8 Maths Q10.1

Short Answer Type

Comparing Quantities NCERT Extra Questions for Class 8 Maths Q14
Hence, the required amount = ₹ 4,230


Comparing Quantities NCERT Extra Questions for Class 8 Maths Q15
Hence, the net selling price = ₹ 2,63,952

Question 17.
Find the amount of ₹ 6,250 at 8% pa compounded annually for 2 years. Also, find the compound interest.
Solution:
Comparing Quantities NCERT Extra Questions for Class 8 Maths Q17

Comparing Quantities NCERT Extra Questions for Class 8 Maths Q18

Question 20.
Find the compound interest on ₹ 48,000 for one year at 8% per annum when compounded half yearly. (NCERT Exemplar)
Solution:
Principal (P) = ₹ 48,000
Rate (R) = 8% p.a.
Time (n) = 1 year
Interest is compounded half yearly
Comparing Quantities NCERT Extra Questions for Class 8 Maths Q20
Therefore Compound Interest = A – P = ₹ (519,16.80 – 48,000) = ₹ 3,916.80.

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Chapter 8 Comparing Quantities