**Practice Questions**

# Practice Questions on Ratios and Proportions

Practice Questions on Ratios and Proportions for SSC CGL,Bank IBPS SO and government examination Preparing.

**1. Seats for maths, physics and biology are in the ratio 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats ?**

- 2 :3 :4
- 6 : 7 : 8
- 6 : 8 : 9
- Cannot be determined
- None of these
**Canara Bank PO exam. 09.02.2003**

**2. If a : b = 7 : 9 and b : c = 15 : 7, then what is a : c **

- 5 :3
- 3 :5
- 7 : 21
- 7 : 15
**(SSC CGL Prelim Exam. 04.07.1999)**

**3. If A : B : C = 2 : 3 : 4, then A/B : B/C : C/A is equal to **

- 8 : 9 : 16
- 8 : 9 : 12
- 8 : 9 : 24
- 4 : 9 : 16
**(SSC CGL Prelim Exam. 13.11.2005)**

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**4. A starts a business with an initial investments of Rs. 18000. After 4 months, B enters into the partnership with an investment of Rs. 24000. Again after two months C enters with an investment of Rs. 30000. If C receives Rs. 1845 in the profit at the end of the year , what is the total annual profit ?**

- 6027
- 6327
- 6527
- 6080
- None of these
**(Bank Of Baroda PO Exam. 14.08.2014)**

## Practice Questions on Ratios and Proportions

**5. Tanvi started a business investing Rs. 45,000. After 8 months Jitesh joined her with a capital of Rs. 52,000. At the end of the year the total profit was Rs. 56,165. What is the share of profits of Jitesh ?**

- 21,450
- 24,440
- 27,635
- 31,765
- None of these

** (Oriental Bank Of Commerce PO Exam. 21.12.2008)**

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**6. A man has divided his total money in his will in such a way that half of it goes to his wife, 2/3rd of the remaining among his three sons equally and the rest among his four daughter equally. If each daughter gets Rs. 20,000, how much money will each son get ?**

- 50,333.33
- 48,233.33
- 53,333.33
- Data inadequate
- None of these
**(SBI Banks PO Exam. 20.08.2000)**

**7. In a mixture of two liquids A1 and A2 the proportion of A2 by weight was 60%. If in the 60 gms mixture 15 gms A2 was added, what would be the percentage of A2 in the new mixture ?**

- 75%
- 88%
- 68%
- 70%
- None of these

**8. When one litre of water is added to a mixture of acid and water, the new mixture contains 20% acid. When one litre of acid is added to the new mixture, then the resulting mixture contains 33 1/3 % acid. The percentage of acid in the original mixture was **

- 20%
- 22%
- 24%
- 25%
**(insurance exam 22.05.2011)**

**9. P, Q and R started a business with investment Rs 5000, 6000 and 8000 respectively. After one year R withdrew 50% of his capital and P increased his capital by 80% of his investment. After two years in what ratio should the profit of P,Q and R be distributed ?**

- 7 : 6 : 6
- 2 : 3 : 3
- 13 : 12 : 12
- 4 : 3 : 2
- None of these

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**10. Mahesh started a business investing Rs. 42000. After 2 months Ramesh joined him with a capital of Rs. 63000 and another one month later Shyam joined with them with Rs. 56000. If the profit of Mahesh was Rs. 2403 after 6 months, then what was the profit of Shyam ?**

- 3204
- 2403
- 1602
- 2060
- None of these

**11. If A : B = 3 : 14, B : C = 4 : 3, C : D = 7 : 5 and D : E = 15 : 4, then A : E = ?**

- 2 : 3
- 3 : 2
- 4 : 3
- 3 : 4

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**12. The ratio of the ages of two persons is 4 : 7. If one person is older to the other by 9 years. What is the sum of their ages ?**

- 95 years
- 86 years
- 99 years
- 97 years
- None of these

**13. In an innings of a cricket match, three players A,B and C scored a total of 361 runs. If the ratio of the number of runs scored by B to that scored by C be 3 : 2, the number of runs scored by A was**

- 171
- 181
- 185
- Cannot be determined
- None of these
**(SSC CGL Prelim Exam. 04.02.2007)**

**14. Ramesh bought 30 kg of apples at Rs. 150/ kg and another 20 kg of apples at Rs. 140 / kg. He mixed them together. At what rate should he sell the mixture to earn 5 % profit ?**

- 150.25 /kg
- 153.3 /kg
- 152 / kg
- 152.6 / kg
- None of these

**15. In a school the ratio of the number of boys to the number of girls is 4:5. If the number of boys is increased by 30% and number of girls is decreased by 20%, what will be the new ratio of number of boys to that of girls ?**

- 14 : 5
- 7 : 15
- 7 :3
- 13 :10
- None of these

**16. The ratio of A and B in Rs. 58812 are 6 : 7. What is the difference between thrice of share A and thrice of share B ?**

- Rs. 13572
- Rs. 4524
- Rs. 8425
- Rs. 12560
- None of these

**17. Two persons Mahesh and Ramesh start a business with investments of Rs.27100 and Rs. 23900 respectively. After 3 months shyam joined them. Total profit at the end of the year was Rs. 14794 and shyam’s profit was 3744. What was the shyam’s investments ?**

- Rs. 25064
- Rs. 23040
- RS. 45230
- Rs. 25080
- None of these

**18. If A : B = 4 : 3, B : C = 4 : 5 and C : D = 6 : 7, then A : B : C : D = ?**

- 8 : 9 : 30 : 35
- 8 : 9 : 15 : 21
- 32 : 24 : 30 : 35
- 32 : 24 : 35 : 30
- None of these

**19. Mr. x invested a certain amount in Debit and Equity funds in the ratio of 4 : 5 respectively. At the end of one year, he earned a total dividend of 30% on his investments. After one year he reinvested the amount including dividend in the ratio of 6 : 7 in Debit and equity funds. If the amount reinvested in equity funds was Rs. 94,500, what was the original amount invested in equity funds ?**

- 75000
- 81007
- 60000
- 65007
- None of these
**(SBI Associate Banks PO Exam. 07.08.2011)**

**20. The ratio of present ages of P and Q is 8 : 5. After 4 years their ages will be in the ratio 4 : 3 respectively. What will be the ratio of P’s age after 7 years from now and Q’s age now ?**

- 3 :2
- 1 : 2
- 2 : 1
- 3 : 1
- None of these
**(IBPS BANK PO/MT CWE_IV 18.10.2014)**

**Answers key **

1. 1 | 7. 3 | 13. 4 | 19. 1 | |

2. 1 | 8. 4 | 14. 2 | 20. 4 | |

3. 3 | 9. 1 | 15. 4 | ||

4. 1 | 10. 3 | 16. 1 | ||

5. 5 | 11. 2 | 17. 2 | ||

6. 3 | 12. 5 | 18. 3 |