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Ratio and Proportion


1. 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


2. 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


3. The ratio of Income and expenditure of an employee is 5 : 4. If the income of employee is Rs. 18,000 then his savings is:

Rs. 3600

Rs. 3200

Rs. 3000

Rs. 2800


4. 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


5. The monthly income of Amit and Ben are in the ratio of 4 : 3. Their monthly expenses are in the ratio of 3 : 2. However, both saves Rs.600 per month. What is their total Monthly income?

Rs. 6000

Rs. 5600

Rs. 4200

Rs. 4800


6.

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

15 : 19

15 : 16

12 : 17

12 : 13


7. 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


8. Four children Amit, Ben, Curie and David divide a bag of sweets. Amit takes 2/3 of them, Ben takes 1/5 th of the remainder and the rest is equally shared between Curie and David. What fraction of the sweets did Curie or David get?

3/17

2/15

4/15

13/17


9. 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


10.

The ratio of the ages of A and B is 4/3 : 5/4. By what percent is A’s age more than that of B?

(3) 1/3

5

(6) 2/3

(7) 1/7