**Chapter 8 Comparing Quantities**

### Very Short Answer Type

Solution:

Question 3.

If 20% of x is 25, then find x.

Solution:

20% of x = 25

Hence x = 125

Question 4.

Express the following as a fraction

(a) 35%

(b) 64%

Solution:

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

Hence, discount = 15%

Question 10.

Find the amount if ₹ 2,000 is invested for 2 years at 4% p.a. compounded annually.

Solution:

### Short Answer Type

Hence, the required amount = ₹ 4,230

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:

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

Therefore Compound Interest = A – P = ₹ (519,16.80 – 48,000) = ₹ 3,916.80.