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Ratio and Proportion


1. Two numbers are in the ratio of 1 : 5. If 5 is added to each number, the ratio becomes 1 : 4. The smaller number is:

16

20

15

12


2. An amount of Rs.6240 is divided among A, B and C in the ratio 1/2 : 1/3 : 1/4. Find the share of C?

Rs.1280

Rs.1380

Rs.1400

Rs.1440


3. Monthly incomes of A and B are in the ratio 3 : 7 whereas their expenses are in the ratio 1 : 3. If each of them saves Rs.2000 at the end of a month, find the annual income of A.

Rs.6000

Rs.72000

Rs.60000

Rs.14400


4. A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.1250 in all. The share of B is:

Rs.260

Rs.240

Rs.250

Rs.255


5. Rs. 1500 is divided among A, B and C such that A receives 1/3 as much as B and C together, and, B receives 2/3 as A and C together. A's share is:

Rs.400

Rs.425

Rs.375

Rs.325


6.

If a : b = 2 : 5, then (5a + b) : (3a + 2b) is:

15 : 19

15 : 16

12 : 17

12 : 13


7. If A : B = 4 : 7, B : C = 3 : 4, C : D = 7 : 11, then A : D is:

3 : 7

3 : 11

7 : 22

7 : 9


8. A bag contains coins of Re.1, Rs.2 and Rs.5 in the ratio of 10 : 9 : 8. The total worth of these coins is Rs. 544. Find the number of Rs. 5 coins.

80

72

64

128


9. A mixture contains alcohol and water in the ratio 10 : 9. If 3 liters of water is added to the mixture, the ratio becomes 1 : 1. The quantity of alcohol in the mixture now is:

20 litres

25 litres

30 litres

32 litres


10. The ratio of the number of students in three classes A, B and C is 3 : 7 : 8. If 20 students shifted from C to B, the ratio of the number of students in B and C would be interchanged. Find the total number of students in all the three classes.

480

400

320

360