Ratio and Proportion with Explanation

Q1. The price of laptop and smartphone are in the ratio 5 : 3. If the cost of laptop exceeds smartphone by Rs. 6000, then the price of the smartphone is:

A. 6000 B. 3000
C. 9000 D. 8000

Q2. There are three numbers such that one number is 20% more than a third number and the second number is 50% more than a first number. The ratio of two numbers is?

A. 2 : 3 B. 3 : 4
C. 4 : 6 D. 3 : 2

Q3. An amount is to be distributed among four workers P, Q, R, and S in the proportion of 7 : 4 : 5 : 2. If Q gets Rs. 800 more than S, what is P's share?

A. 2500 B. 2800
C. 2600 D. 2200

Q4. What is the fourth proportional to 6, 7, 18?

A. 18 B. 20
C. 22 D. 21

Q5. The ratio of two numbers is 5 : 6 and their LCM is 240. What is the second number?

A. 48 B. 45
C. 47 D. 46

Q6. The ages of three friends are in the proportion 7 : 5 : 9 and their average age is 28 years. The age of the eldest friend is

A. 34 B. 32
C. 36 D. 35

Q7. In a university, 25% of the girls and 20% of the boys are scholarship holders. The ratio of the number of boys and girls is 3 : 2. Find the percentage of students that does not get scholarships?

A. 78% B. 80%
C. 65% D. 70%