J.K.SHAH CLASSES C.P.T.
- MATHEMATICS & STATISTICS
CHAPTER 1
RATIO & PROPORTION
HOME WORK
1. If A : B = 3 : 4, B : C = 5 : 6 and C : D = 11 : 9, then A : D is :
(a) 50 : 60 (b) 55 : 72 (c) 60 : 70 (d) 65 : 75
2. If a : b = 3 : 4, then (6a +b) : (4a + 5b) is :
(a) 1:2 (b) 3:5 (c) 7:8 (d) 11 : 16
3. If 2 :(1 + 3) = 6 : x , then x is equal to :
(a) 3 −3 (b) 1+ 3 (c) 1− 3 (d) 3 +3
4. If X and Y shared ` 1100 in the ratio 1 : 10, how much did X get ?
(a) ` 99 (b) ` 100 (c) ` 101 (d) ` 110
5. If 2x = 3y = 4z, then x : y : z is :
(a) 2:3:4 (b) 4:3:2 (c) 6:4:3 (d) 3:4:2
6. If x : y = 7 : 9 and y : z = 5 : 4, then x : y : z is :
(a) 7 : 45 : 36 (b) 35 : 45 : 36 (c) 28 : 36 : 35 (d) None
7. The fourth proportional to 3.5 and 87.5 is :
7 5
(a) 35 (b) (c) (d) 12.6
5 7
8. Mean proportional to 3. 5 and 87.5 is :
(a) 17.5 (b) 12 (c) 14 (d) 16
9. Third proportional to 9 and 12 is :
(a) 6 3 (b) 10.5 (c) 16 (d) None
10. What must be added to each term of the ratio 49 : 68 so that it becomes 3 : 4 ?
(a) 3 (b) 5 (c) 8 (d) 9
11. What least number must be added to each one of 6, 14, 18, 38 to make them in
proportion?
(a) 1 (b) 2 (c) 3 (d) 4
12. What least number must be subtracted from each of the numbers 14, 17, 34, 42
so that remainders may be proportional ?
(a) 0 (b) 1 (c) 2 (d) 7
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J.K.SHAH CLASSES C.P.T. - MATHEMATICS & STATISTICS
1 3 5
13. A fraction bears the same ratio to as does to . The fraction is :
27 7 9
7 1 45 5
(a) (b) (c) (d)
45 35 7 21
14. ` 1980 are divided among A, B, C so that half of A’s part, one-third of B’ s part
and one-sixth of C’ part are equal. Then, B’s part is :
(a) ` 660 (b) ` 360 (c) ` 1080 (d) ` 540
15. If A’s money is to B’s money as 4 : 5 and B’s money is to C’s money as 2 : 3 and
A has Rs. 800, then C has :
(a) ` 1000 (b) ` 1200 (c) ` 1500 (d) ` 2000
16. 94 is divided into two parts in such a way that the fifth part of the first and the
eighth part of the second are in the ratio 3 : 4. The first part is:
(a) 27 (b) 30 (c) 36 (d) 48
2
17. ` 1360 have been divided among A, B, C such that A gets of what B gets and
3
1
B gets of what C gets. Then, B’s share is :
4
(a) ` 120 (b) ` 160 (c) ` 240 (d)
` 320
2
18. ` 770 have been divided among A, B, C such a way that A receives th of what
9
B and C together receive. Then A’s share is :
(a) ` 140 (b) ` 154 (c) ` 165 (d) ` 170
19. ` 4850 have been divided among A, B, C such that if their shares be diminished
by ` 15, `10 and ` 25 respectively, the remainders are in the ratio 3 : 4 : 5. Then,
B’s share is :
(a) ` 1595 (b) ` 1610 (c) ` 1626.66 (d) ` 1600
20. A sum of ` 7000 is divided among A, B, C in such a way that shares of A and B
are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5. The amount
received by C is :
(a) ` 2600 (b) `2800 (c) ` 3000 (d) ` 3900
21. A sum of ` 53 is divided among A, B, C in such a way that A gets ` 7 more than
what B gets and B gets `8 more than what C gets. The ratio of their shares is :
(a) 16 : 9 : 18 (b) 25 : 18 : 10 (c) 18 : 25 : 10 (d) 15 : 8 : 30
22. A bag contains ` 600 in the form of one-rupee, 50-paise and 25-paise coins in the
ratio 3 : 4 : 12. The number of 25-paise coins is :
(a) 600 (b) 900 (c) 1200 (d) 1376
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J.K.SHAH CLASSES C.P.T. - MATHEMATICS & STATISTICS
23. A sum of money is divided among A, B, C such that to each rupee A gets, B gets
65 paisa and C gets 35 paisa. If C’s share is ` 560, the sum is:
(a) ` 2400 (b) ` 2800 (c) `3200 (d) `3600
24. `5625 are divided among A, B, C so that A may receive one-half as much as B
and C together receive and B receives one-fourth of what A and C together
receive. The share of A is more than that of B by :
(a) ` 750 (b) `775 (c) `1500 (d) `1600
25. A certain amount was divided between X and Y in the ratio 4 : 3. If Y’s share was
`4800, the total amount was:
(a) `11200 (b) `6400 (c) ` 19200 (d) ` 39200
26. The ratio of number of boys and girls in a school of 720 students is 7: 5. How
many more girls should be admitted to make the ratio 1 : 1 ?
(a) 90 (b) 120 (c) 220 (d) 240
27. A boy 1.4 m tall casts a shadow 1.2 m long at the time when a building casts a
shadow 5.4 m long. The height of the building is :
(a) 4.63 m (b) 3.21 m (c) 6.3 m (d) 5.6 m
28. The incomes of A and B are in the ratio 3 : 2 and their expenditures in the ratio5 :
3. If each saves ` 1500 then B’s income is :
(a) ` 6000 (b) ` 4500 (c) `3000 (d) `7500
29. The prices of a scooter and a moped are in the ratio 9 : 5. If a scooter costs`
`6800
more than a moped, the price of a scooter is :
(a) `17000 (b) `13600 (c) ` 15300 (d) None
30. The cost making an article is divided between materials, labor and overheads in
the ratio of 5 : 3 : 1. If the materials cost `6.90, the cost of the article is :
(a) ` 13.80 (b) ` 12.42 (c) `11.56(d) ` 9.83
ANSWERS
1. (b) 2. (d) 3. (d) 4. (b) 5. (c) 6. (b)
7. (a) 8. (c) 9. (c) 10. (c) 11. (b) 12. (c)
13. (b) 14. (d) 15. (c) 16. (b) 17. (c) 18. (a)
19. (b) 20. (c) 21. (b) 22. (b) 23. (c) 24. (a)
25. (a) 26. (b) 27. (c) 28. (a) 29. (c) 30. (b)
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