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Home › Grade8 › OLYMPIAD › Math Olympiad-Grade-8 › Ratio & Proportion › Ratio & Proportion Worksheet-3

Ratio & Proportion Worksheet-3

Ratio & Proportion Worksheet-3

 

  1. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's present salary?

(a) Rs. 17,000                               (b) Rs. 20,000

(c) Rs. 25,500                               (d) None of these

 

  1. If Rs. 510 be divided among A, B, C in such a way that A gets of what B gets and B gets   of what C gets, then their shares are respectively:

(a) Rs. 120, Rs. 240. Rs. 150     (b) Rs. 60, Rs. 90, Rs. 360

(c) Rs. 150, Rs. 300, Rs. 60       (d) None of these

 

  1. The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:

(a) 20                 (b) 30                 (c) 48                  (d) 58

 

  1. A fraction which bears the same ratio to that does to is equal to:

(a)                 (b)                  (c)                   (d) 55

 

  1. Rs. 366 are divided amongst A, B and C so that A may get as much as B and C together, B may get as much as A and C together, then the share of A is:

(a) Rs. 122                                      (b) Rs. 129.60

(c) Rs. 146.60                                (d) Rs. 183

 

  1. A sum of Rs. 1300 is divided amongst P, Q, R and S such that . Then, P’s share is :

(a) Rs. 140         (b) Rs. 160        (c) Rs. 240        (d) Rs. 320

 

  1. A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?

(a) Rs. 460        (b) Rs. 484        (c) Rs. 550         (d) Rs. 664

 

  1. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

(a) 2 : 5              (b) 3 : 5              (c) 4 : 5               (d) 6 : 7

 

  1. Two whole numbers whose sum is 72 cannot be in the ratio:

(a) 5 : 7               (b) 3 : 5              (c) 3 : 4              (d) 4 : 5

 

  1. If a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors?

(a) 2 : 1               (b) 3 : 1               (c) 3 : 2              (d) 7 : 5

 

  1. Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

(a) 2 : 3 : 4        (b) 6 : 7 : 8        (c) 6 : 8 : 9        (d) None of these

 

  1. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

(a) 8 : 9                                           (b) 17 : 18

(c) 21 : 22                                       (d) Cannot be determined

 

  1. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

(a) Rs. 500        (b) Rs. 1500      (c) Rs. 2000     (d) None of these

 

  1. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

(a) 2 : 5              (b) 3 : 7              (c) 5 : 3               (d) 7 : 3

 

  1. Ratio of the earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8 : 7. What are A's earnings?

(a) Rs. 21,000                               (b) Rs. 26,000

(c) Rs. 28,000                              (d) Data inadequate

 

Answer Key:

(1)-d; (2)-b; (3)-b; (4)-a; (5)-a; (6)-b; (7)-b; (8)-c; (9)-c; (10)-c; (11)-a; (12)-c; (13)-c; (14)-c; (15)-d