Ratio and Proportion - Handout 2
1)
A
sum is distributed among A, B, C such that of
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