## Percentages: Practice Exercise-2

Question 1: If 60% of A = ¾ of B then A : B is
(a) 9 : 20
(b) 20 : 9
(c) 4 : 5
(d) 5 : 4 Question 2: If 2/3 of A = 75% of B = 0.6 of C, then A : B : C is equal to

(a) 9 : 8 : 10
(b) 8 : 9 : 10
(c) 3 : 4 : 5
(d) 4 : 3 : 5

Given, 2/3 of A = 75% of B = 0.6 of C

(A x 2)/3 = (B x 75)/100 = (C x 6)/10

= 2A/3 = 3B/4 = 3C/5

Dividing by 6 (LCM of 2 , 3 and 3)

A/9 = B /8 = C/10

∴A : B : C = 9 : 8 : 10

Question 3: Out of his income Mr Raj spends 20% on house rent and 70% of the rest on household expenditure. If he saves Rs 3600 per month, then his total income per month (in Rs) is

(a) 10000
(b) 15000
(c) 10500
(d) 12000

Solution: (b)

Let the total income of Mr Raj be Rs p

He spends 20% of income on house rent = 20% of p = (20/100) x p = 0.20p

Remaining income = (p – 0.2p)= Rs. 0.8p

Now he spends 70% of remaining 0.8p on household items, so he is left with 30% of 0.8p =

(30/100) x 0.8p = 0.24p

Given that 0.24p = 3600

Þ x = 3600/0.24 = Rs 15000

Question 4: Kishan spends 30% of his salary on food and donates 3% in a Charitable Trust. He spends Rs. 2310 on these two items, then total salary for that month is

(a) Rs 6000
(b) Rs 8000
(c) Rs 9000
(d) Rs 7000

Solution: (d)

Let the salary of Kishan be Rs. p.

Total expenditure in percentage = 30+3 =33%

According to the question, 33% of p = Rs 2310

p = (2310 x 100)/33 = Rs. 7000

Question 5: A saves 20% of his monthly salary. If his monthly expenditure is Rs 6000, then his monthly
savings is.
(a) Rs 1500
(b) Rs1800
(c) Rs1200
(d) Rs4800

Solution: (a)

If the monthly income of A is Rs. p, then

Saving = 20% of x and expenditure = 100 – 20 = 80% of p

Now, (p x 80)/ 100 = 6000 (given)

=> p = (6000 x 100)/80 = Rs. 7500

Savings = 7500 – 6000 = Rs 1500