Ratio and Proportion - Handout 2

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           Ratio and Proportion  - Handout 2

1)    A sum is distributed among A, B, C such that of  of A’s share,  of B’s share and  of C’s share are equal.  If A gets Rs.240, the total amount is:

a)Rs.500     b) Rs.600c)     Rs.730                 d) Rs.960

2)    If Rs.180 is divided among A,B and C in such a way that 1/3 of A, 1/4 th of B and 1/5 th of C are equal. Find share of A?

a)Rs 75       b)Rs 60 c)Rs 45                        d)Rs 30

3)    Rs.2160 is to be divided among A, B, C such that 50% of A’s share, 33 1/3% of B’s share and 25% of C‘s share are equal.  C’s share is:

a)Rs.960    b) Rs.720          c)    Rs.840        d) Rs.906 

4)    Rs.3600 is to be divided among A,B,C such that, ¼ th of A’s share, 1/3 rd of B’s share and ½  of C’s share are equal, then B’s share is :

a) Rs.2200   b) Rs.1600c) Rs.1200   d) Rs.1000

5)    Rs  53 should be divided among A,B and C in  such a way that A will receive Rs  7 more than B and B will receive Rs 8 more than  C. The ratio of their shares is

a)    16 : 9 :18 b)25 : 18 : 10 c)18 : 25 :10 d)15 : 8 :30

6)    A sum of Rs 221 is divided among A, B and C such that A gets Rs 52  more than B. B gets Rs 26 more than C, The ratio of the shares of A,B and C respectively is

a)9:5:3       b)9:3:5             c)5:9:3              d)10:6:5

7)    Rs 94 is divided into two parts in such a way that the 5th part of the first and 8th part of the second are in the ratio 3:4. The first part is

a)30              b)36               c)28                  d)40

8)    A certain amount to be distributed among A,B and C in the ratio 2:3:4 respectively, but was erroneously distributed in the ratio 7:2:5 respectively. As a result of this,B got Rs 40 less . What is the amount?

a)Rs 210    b)Rs 270           c)Rs360             d)Rs 400

9)    Instead of dividing Rs 117 among A,B and C in the ratio ½ : 1/3 : ¼  by mistake it was divided in the ratio 2:3:4.Who gained in the transaction?

a)    Only A   b)Only B                   c)Only C     d)Both B and C

10)  A sum of money is to be divided among four persons in the ratio of 2:3:4:5. Out of four , one person gets Rs 200 more than the other and Rs 100 less than another. What is the sum?

a)Rs 1400  b)Rs 2800c)Rs4200        d)None

11)  The ratio of the number of boys to girls in a class was 3:2.When 20 more boys joined the class, the ratio was reversed. Find the number of girls in the class?

a)16            b)24                 c)32                  d)36

12)  A, B and C rented a set of Blue rays at a rent of Rs 578.If they used it for 8 hours, 12 hours and 14 hours respectively, what is B’s share of rent to be paid?

a)Rs 192     b)Rs 204          c)Rs 215                        d)Rs 238

13)  Smallest angle of a triangle is equal to the two-third of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilaterals is 3:4:5:6. Largest angle of the triangle is twice its smallest angle. What is the sum of second largest angle of the triangle and largest angle to the quadrilateral?

a)1900         b)1800               c)1700                  d)1600

14)  The ratio between the three angles of a quadrilateral is 1:4:5 respectively. The value of the fourth angle is 600.What is the difference between the value of the largest and smallest angles of the quadrilateral?

a)1200        b)1100               c)1000               d)1000

15)  Income of two companies A and B are in the ratio of 5:8 had the income of company A been more by Rs 25 lakhs , the ratio of their income would have of their 5:4  respectively. What is the income of company B?

a)Rs 40 lakhs b)Rs 50 lakhs c)Rs60 lakhs   d)Rs80 lakhs

16)  Two numbers are in the ratio 5:6.When 8 is subtracted from both ,the ratio becomes 4:5.  The number which is smaller is:

a)    32       b)48                  c)40                 d)50     

17)  Two numbers are in the ratio 3:2, when 14 is added to both, the ratio becomes 5:4.  The bigger number is:

a)    24       b)28                  c)36                  d)21

18)  20 boys and 25 girls form a group of social workers. During their membership drive , the same number of boys and girls joined the group( e.g 7 boys and 7 girls), their new ratio becomes 7:8. How many members in the group finally?

a)75               b)60              c)70                  d)84

19)  The ratio between 2 numbers is 5 :8 . If 8 is subtracted from both the numbers, the ratio becomes1:2 . The original numbers are

a)18 , 24     b)20,32            c)25, 40                        d)36,48

20)  The salaries of A and B are in the ratio 4:3 and their expenditure are in the ratio 3:2, they have equal savings of Rs.500 each, then the salary of A is:

a) Rs.2000 b) Rs.1500c) Rs.1000     d) Rs.2500

21)  The incomes of A and B are in the ratio 4:7 and their expenses are in the ratio 2:5.If each of them saves Rs2200, find the income of B?

a)Rs 7700  b)Rs 4400          c)Rs 8400    d)Rs 10000

22)  The ratio of incomes of A and B is 5:3. And that of their expenditures is 9:5. Find the income of A, if they save Rs 1300 and Rs 900 respectively?

a)Rs 2400    b)Rs 3200          c)Rs 300            d)Rs 4000

23)  In a college , the ratio of boys to girls is 31:23 respectively. When 75 more girls join the college, this ratio becomes 124:107. How many more girls should join the college to make the number of boys and girls equal?

a)60            b)40      c)85                 d)90

24)  Number of students in Arts and Science faculties in an instituteare in the ratio 5:8 respectively. If 150 more students join Art faculty while 80more students join Science faculty, the respective ratio becomes 3:4. Originally what was the total number of students in both faculties together?

a)1200        b)1400  c)1170 d)Cannot be determined


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