RATIO, PROPORTION & PARTNERSHIP (QUANTITATIVE APTITUDE) EPFO UPSC

Total Questions: 30

21. A, B and C started a business with investments of ₹ 1200, ₹ 400 and ₹ 300 respectively. At the end of 6 months from the start of the business, A invested an additional amount of ₹ ‘x’. If the total annual profit was 5 3/4 times B’s share in annual profit. What is the value of x?

Correct Answer: (d) 800
Solution:

22. A, B and C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their investments. The ratio of their profits at the end of the year was:

Correct Answer: (a) 5 : 6 : 10
Solution:

23. Incomes of A and B are in the ratio 4 : 3 and their annual expenses in the ratio 3 : 2. If each save ₹60,000 at the end of the year, the annual income of A is

Correct Answer: (c) ₹2,40,000
Solution:

24. Two alloys are both made up of copper and tin. The ratio of copper and tin in the first alloy is 1 : 3 and in the second alloy is 2 : 5. In what ratio should the two alloys be mixed to obtain a new alloy in which the ratio of tin and copper be 8 : 3?

Correct Answer: (b) 4 : 7
Solution:

25. In two alloys A and B, the ratio of zinc to tin is 5 : 2 and 3 : 4 respectively. 7 kg of the alloy A and 21 kg of the alloy B are mixed together to form a new alloy. What will be the ratio of zinc and tin in the new alloy?

Correct Answer: (d) 1 : 1
Solution:

26. Two alloys contain tin and iron in the ratio of 1 : 2 and 2 : 3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is :

Correct Answer: (d) 13 : 22
Solution:

27. A and B have their monthly incomes in the ratio 8 : 5 while their monthly expenditures are in the ratio 5 : 3. If they have saved ₹12,000 and ₹10,000 monthly respectively, then the difference in their monthly income is

Correct Answer: (a) ₹42,000
Solution:


28. In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After few days, 30 girls joined the school but few boys left, as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is

Correct Answer: (a) 76
Solution:

29. In a cricket match, there are three types of tickets say A, B and C each costing ₹ 1000, ₹ 500 and ₹ 200 respectively. The ratio of their tickets sold of category A, B and C is 3 : 2 : 5. If the total collection from selling the tickets is ₹ 2.5 crore. Find the total number of tickets sold?

Correct Answer: (c) 50000
Solution:

30. A starts a business with ₹ 45,000. After 6 months B enters in his business with ₹ 80,000. After one year C invests ₹ 1,20,000. In what ratio the profit will be divided among A, B and C after two years?

Correct Answer: (b) 3 : 4 : 4
Solution: