Ratio & Proportion (SSC)

Total Questions: 50

21. A certain sum was to be divided between A and B in the ratio 8 : 5. However, by mistake, it was divided in the ratio 5 : 8. Thus, A gets ₹300 less than his original share. Find the sum. [SSC CHSL 17/08/2023 (4th Shift)]

Correct Answer: (c) ₹1,300
Solution:


22. When P is subtracted from each of the numbers 8, 6, 2 and 9, the numbers so obtained in this order are in proportion. What is the mean proportional between (3P - 6) and (9P - 4) ? [SSC CHSL 10/08/2023 (4th Shift)]

Correct Answer: (b) 28
Solution:

23. A sum of money is divided among A, B, C in the ratio 3 : 2 : 5, respectively. If the share of C is ₹300 more than B. Then how much more money will A get than B? [SSC CHSL 03/08/2023 (1st Shift)]

Correct Answer: (c) ₹100
Solution:

24. The mean proportional of (a + b) (a - b)³, (a + b)³ (a - b) is: [SSC CGL 25/07/2023 (4th shift)]

Correct Answer: (a) (a + b)² (a - b)²
Solution:

25. The seats for Mathematics, English and Chemistry in a school are in the ratio of 6 : 4 : 7. If these seats are increased by 20%, 40% and 60%, respectively, the ratio of the increased seats is: [SSC CGL 19/07/2023 (2nd shift)]

Correct Answer: (b) 9 : 7 : 14
Solution:

26. A bag contains ₹550 in the form of 50p, 25p and 20p coins in the ratio 2 : 3 : 5. The difference between the amounts that are contributed by the 50 p and the 20 p coins is: [SSC CGL 17/07/2023 (3rd shift)]

Correct Answer: (d) ₹0
Solution:

27. In a party hall, there are people in blue and red dresses. The ratio of the number of men in blue to the number of women in red is 3 : 7. The ratio of men in red to the number of women in blue is 2 : 1. If the ratio of the number of people in blue to the number of people in red is 35 : 76, then what is the ratio of the number of men to the number of women ? [SSC MTS 04/05/2023 (Morning)]

Correct Answer: (d) 52 : 59
Solution:

28. P's income is 250 percent of Q's income and P's expenditure is 180 percent of Q's expenditure. If P's income is 400 percent of Q's expenditure, then what is the respective ratio of P's savings and Q's savings? [SSC CHSL 17/03/2023 (3rd Shift)]

Correct Answer: (b) 11 : 3
Solution:

29. The number of units manufactured by company A was 12500 units in 2019 and 10625 units in 2020. While in company B, the production fell from 34000 units in 2019 to 30600 units in 2020. If X and Y are the percentage decrease in the number of units manufactured by company A and B respectively from 2019 to 2020, then what will be the ratio of X and Y? [SSC CGL 13/12/2022 (1st Shift)]

Correct Answer: (c) 3 : 2
Solution:


30. In an office with 40 officers, the average salaries of class-A, class-B and class-C officers are ₹600, ₹750 and ₹1,000 a day, respectively. The number of class-A, class-B and class-C officers in the office are in the ratio 5 : 4 : 1, respectively. Find the monthly average salary (in ₹) of an officers, all the 40 of them taken together. [Assume the number of days in a month to be 30.] [SSC MTS 08/07/2022 (Morning)]

Correct Answer: (b) 21,000
Solution: