Ratio and Proportion

Q11. The ratio of incomes of A and B is 5 : 3 and that of their expenditures is 9 : 5. If they save Rs. 2600 and Rs. 1800 respectively, then their incomes are
(a) Rs. 5000, Rs. 3900
(b) Rs. 6000, Rs. 4200
(c) Rs. 8000, Rs. 4800
(d) Rs. 9000, Rs. 5100

Q12. If 1/x : 1/y : 1/z = 2 : 3 : 5 then x:y:z = ?
(a) 15 : 10 : 6
(b) 15 : 15 : 8
(c) 20 : 10 : 8
(d) 20 : 15 : 6

Q13. If A : B : C = 2 : 3 : 4 then A/B : B/C : C/A = ?
(a) 8 : 9 : 24
(b) 9 : 11 : 19
(c) 11 : 13 : 20
(d) 13 : 15 : 22

Q14. Three equal glasses are filled with mixtures of spirit and water. The ratio of spirit and water is : 1st glass = 3:4, 2nd glass = 4:5 and 3rd glass = 5:6. The contents of three glasses are emptied into a single vessel. What is the ratio of spirit to water in the mixture now ?
(a) 820 : 1059
(b) 860 : 1132
(c) 920 : 1159
(d) 970 : 1205

Q15. The ratio between two numbers is 3 : 4. If each number is increased by 6, the ratio becomes 4 : 5. The difference between the number is
(a) 6
(b) 9
(c) 11
(d) 13

Q16. In a class, the number of girls is 20% more than that of boys. The strength of the class is 66. If 4 more girls are admitted to the class, what will be the ratio of the number of boys to that of the girls ?
(a) 2 : 3
(b) 3 : 4
(c) 3 : 5
(d) 5 : 7

Q17. If 20% of (P + Q) = 50% of (P - Q), then P:Q = ?
(a) 3 : 2
(b) 5 : 4
(c) 7 : 2
(d) 7 : 3

Q18. Rs. 6400 are divided among three workers in the ratio 3/5 : 2 : 5/3. The share of the second worker is
(a) Rs. 2000
(b) Rs. 2500
(c) Rs. 3000
(d) Rs. 3500

Q19. If a : b = b : c then a⁴ : b⁴ = ?
(a) a² : b²
(b) a² : c²
(c) b² : c²
(d) a³ : b³

Q20. If 32 students in a class are females and the ratio of female to male students is 16 : 9, then what percentage of the class is female ?
(a) 51 %
(b) 55 %
(c) 57 %
(d) 64 %

___________________________________________________________________________