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 |
5x = 3x + 6000
The price of a smartphone is 3 * 3000 = Rs. 9000Q2. 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% |
