# Mathematics Questions and Answers – Ratios and Percentages

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Ratios and Percentages”.

1. A class has 30 girls and 40 boys. What is ratio of number of girls to total students in class?
a) $$\frac{3}{7}$$
b) $$\frac{4}{7}$$
c) $$\frac{3}{4}$$
d) $$\frac{4}{3}$$

Explanation: A class has 30 girls and 40 boys. So total number of students in the class is 70. The ration of number of girls to total students in the class is
$$\frac{Number \,of \,girls}{Total \,number \,of \,students}=\frac{30}{70}=\frac{3}{7}$$.

2. 40% of group likes tea as a beverage. What is the ratio of people liking tea as a beverage in the group?
a) $$\frac{3}{7}$$
b) $$\frac{2}{5}$$
c) $$\frac{2}{10}$$
d) $$\frac{4}{3}$$

Explanation: 40% of group likes tea as a beverage. Ratio of people liking tea as a beverage in the group is
$$\frac{Tea \,loving \,people}{Total \,people \,in \,the \,group}=\frac{40}{100}=\frac{2}{5}$$.

3. Train travels at 45 kmph and bus travels at 30 kmph. What is the ratio of speed of train with respect to bus?
a) $$\frac{3}{7}$$
b) $$\frac{2}{5}$$
c) $$\frac{3}{2}$$
d) $$\frac{5}{2}$$

Explanation: Train travels with 45 kmph and bus travels at 30 kmph. The ratio of speed of train with respect to speed of bus is
$$\frac{Speed \,of \,train}{Speed \,of \,bus}=\frac{45}{30}=\frac{3}{2}$$.

4. Train travels at 45 kmph and bus travels at 30 kmph. What is the ratio of speed of bus with respect to train?
a) $$\frac{3}{7}$$
b) $$\frac{2}{3}$$
c) $$\frac{3}{2}$$
d) $$\frac{5}{2}$$

Explanation: Train travels with 45 kmph and bus travels at 30 kmph. The ratio of speed of bus with respect to speed of train is
$$\frac{Speed \,of \,bus}{Speed \,of \,train}=\frac{30}{45}=\frac{2}{3}$$.

5. Rakesh has Rs. 50 and Karan has Rs. 1.5. Find the ratio of money with Rakesh and money with Karan.
a) $$\frac{3}{100}$$
b) $$\frac{100}{3}$$
c) $$\frac{3}{500}$$
d) $$\frac{500}{2}$$

Explanation: Rakesh has Rs. 50 and Karan has Rs. 1.5.
Ratio of money with Rakesh and money with Karan is
$$\frac{money \,with \,Rakesh}{money \,with \,Karan}=\frac{50}{1.5}=\frac{500}{15}=\frac{100}{3}$$.

6. Rakesh has Rs. 10 and Karan has 10 paise. Find the ratio of money with Rakesh and money with Karan.
a) $$\frac{1}{100}$$
b) $$\frac{100}{1}$$
c) $$\frac{10}{500}$$
d) $$\frac{5}{2}$$

Explanation: Rakesh has Rs. 10 and Karan has 10 paisa. To derive ratio, quantities should be in converted to same unit. Here, one quantity is in rupees and other in paisa. We will convert both the quantities to paisa to derive ratio.
Ratio of money with Rakesh and money with Karan is
$$\frac{money \,with \,Rakesh}{money \,with \,Karan}=\frac{1000}{10}=\frac{100}{1}$$.

7. Kiran has Rs. 130 left after using 65% of total money she had on shopping. Find total money with Kiran before shopping.
a) 100
b) 10
c) 65
d) 200

Explanation: Kiran has Rs. 130 left after using 65% of total money she had on shopping. Let the total money with Kiran be Rs. X. Total money with Kiran can be found as below
130=$$\frac{65}{100}$$ × X
Therefore, X=$$\frac{130×100}{65}$$
Therefore, X=$$\frac{130×20}{13}$$
Therefore, X=$$\frac{130×20}{13}$$
Therefore, X=200
Thus, total money with Kiran before shopping is Rs. 200.

8. Ticket to Rameshwar by train is Rs. 1200 and ticket to Delhi is Rs. 900 from Mumbai. What is the ratio of cost to reach Delhi with respect to Rameshwar from Mumbai?
a) $$\frac{3}{4}$$
b) $$\frac{3}{5}$$
c) $$\frac{4}{3}$$
d) $$\frac{5}{2}$$

Explanation: Ticket to Rameshwar by train is Rs. 1200 and ticket to Delhi is Rs. 900 from Mumbai. The ratio of ticket to Delhi with respect to ticket to Rameshwar is
$$\frac{cost \,to \,Delhi}{cost \,to \,Rameshwar}=\frac{900}{1200}=\frac{3}{4}$$.

9. Sam is 78 kg and Sameer is 91 kg. Find the ratio of weight of Sam and Sameer.
a) $$\frac{3}{7}$$
b) $$\frac{7}{6}$$
c) $$\frac{3}{7}$$
d) $$\frac{6}{7}$$

Explanation: Sam is 78 kg and Sameer is 91 kg. The ratio of weight of Sam and Sameer is
$$\frac{weight \,of \,Sam}{weight \,of \,Sameer}=\frac{78}{91}=\frac{6}{7}$$.

10. Satish has 15 kg sugar and Ray has 250 gm. Find the ratio of sugar with of Satish and Ray.
a) $$\frac{3}{25}$$
b) 6
c) $$\frac{1}{6}$$
d) $$\frac{15}{25}$$

$$\frac{Sugar \,with \,Satish}{Sugar \,with \,Ray}=\frac{1500}{250}=\frac{30}{5}$$=6.