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
Answers and Explanations
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
Answers and Explanations
Answers: (a)
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
Answers and Explanations
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
Answers and Explanations
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
Answers and Explanations
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
Percentages: The Complete Lesson
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