Ratio & Proportion (SSC) (Part-6)

Total Questions: 34

21. The ratio of the number of students in Science to that in Humanities, in Grade 12 of 360 students, is 2 : 3. When some new students are admitted, the number of Science students increases by 18 and the ratio of the Science students to Humanities students changes to 3 : 5. What is the number of new Humanities students admitted? [SSC MTS 20/10/2021 (Evening)]

Correct Answer: (a) 54
Solution:

22. The ratio of the present incomes of X and Y is 5 : 8 and the ratios of their individual incomes, in the last year and in the present year, are 2 : 3 and 3 : 4, respectively. If their total income for the last year was ₹56,000, then what is the present income of Y? [SSC MTS 26/10/2021 (Afternoon)]

Correct Answer: (a) ₹48,000
Solution:

23. A shopkeeper placed a supply order for jeans, shirts and t-shirts at the rates of ₹500, ₹350 and ₹200 per piece respectively. He buys articles of each type in the ratio 1 : 2 : 3 for ₹46,800. For how many t-shirts did he place the order? [SSC MTS 27/10/2021 (Morning)]

Correct Answer: (c) 78
Solution:

24. The present ages of a mother and her son are in the ratio of 6 : 1. When the son becomes as old as his mother now, then the ratio of his father’s age to his mother’s age is 13 : 11. When the son becomes as old as his father now, then the sum of the ages of the father and son will be 115 years. The present age of the father is: [SSC MTS 27/10/2021(Evening)]

Correct Answer: (a) 40 years
Solution:

25. In an examination, the ratio of the number of candidates who passed, to those who failed was 5 : 2. If the number of failed candidates had been 14 more, then the ratio of the number of passed candidates to those who failed would have been 4 : 3. How many candidates passed the examination? [SSC MTS 02/11/2021 (Afternoon)]

Correct Answer: (b) 70
Solution:


26. A batter missed her century by four runs in an innings, in which the scoring shots in the form of sixes, fours, threes, two’s and singles, were in the proportion 1 : 3 : 2 : 7 :10. How many runs did she score in singles? [SSC MTS 02/11/ 2021 (Evening)]

Correct Answer: (a) 20
Solution:

27. A, B and C divide a certain sum of money among themselves. The average of the amounts with them is 4520. Share of A is 10⅔ % more than share of B and 33⅓% less than share of C. What is the share of B (in rupee)? [SSC CGL 13/08/2021 (Evening)]

Correct Answer: (c) 3600
Solution:


28. Alloy A contains metal x and y in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in the ratio 4 : 5. The percentage of y in alloy C is: [SSC CGL 18/08/2021 (Evening)]

Correct Answer: (a)
Solution:

29. Monthly salaries of Anil and Kumud are in the ratio 19 : 17, If Anil and Kumud get salary hike of Rs. 2000 and Rs. 1000 respectively, then the ratio in their salaries becomes 8 : 7. What is the present salary of Kumud (in Rs) ? [SSC CGL 24/08/2021 (Afternoon)]

Correct Answer: (c) 34000
Solution:

30. A bag contains coins of denominations Rs.1, Rs.2 and Rs.5 in the ratio of 4 : 5 : 8. If the total value of these coins is Rs.432, then what is the number of Rs.2 coins ? [SSC CHSL 05/08/2021 (Morning)]

Correct Answer: (a) 40
Solution: