Ratio And Proportion

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41 The ratio of A:B = 1 : 3, B:C = 2:5 andC :D = 2: 3. Find the value of A:B:C:D:

A
1 : 12 : 30 : 45
B
4 : 3 : 30 : 45
C
4 : 12 : 30 : 45
D
4 : 12 : 3 : 45

42 If a:b=c:d = e:f = 1:2, then find (3a + 5c + 7e): (3b + 5d + 7f):

A
1 : 2
B
2 : 1
C
3 : 1
D
1 : 3

43 Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, the ratio becomes 12 : 23. Find the greater number:

A
36
B
50
C
55
D
60

44 From each of two given numbers, half the smaller number is subtracted. After such subtraction, the larger number is 4 times as large as the smaller number. What is the ratio of the numbers ?

A
5 : 2
B
1 : 4
C
4 : 1
D
4 : 5

45 Out of two sections A and B, 10 students of section B shift to A, as a result strength of A becomes 3 times the strength of B. But, if 10 students shift over from A to B, both A and B become equal in strength. Ratio of the number of students in section A that of section B is:

A
1 : 2
B
2 : 1
C
2 : 3
D
3 : 2

46 The total number of students in a school is 2140. If the number of girls in the school is 1200, then what is the ratio of the total number of boys to the total number of girls in the school?

A
26 : 25
B
47 : 60
C
18 : 13
D
31 : 79

47 The ratio of the ages of a father to that of his son is 5 : 2. If the product of their ages (in years) is 1000, then find the father's age after 10 yr:

A
50 yr
B
60 yr
C
80 yr
D
100 yr

48 Salaries of Akash, Bablu and Chintu are in the ratio of 2 : 3 : 5. If their salaries were increased by 15%, 10% and 20% respectively, then what will be the new ratio of their salaries?

A
3 : 3 : 10
B
23 : 33 : 60
C
20 : 22 : 40
D
None of these

49 ₹ 5625 are divided among A, B and C, so that A receives $$\frac{1}{2}$$ as much as B and C together receive and B receives 1/4 as much as A and C together receive. Find the sum of shares of A and B:

A
₹ 5000
B
₹ 3000
C
₹ 15000
D
₹ 9000

50 If the positions of the digit's of a two-digit number are interchanged, the number newly formed is smaller than the original number by 45. Also, the ratio of the new number to the original number is 3 : 8. What is the original number?

A
61
B
72
C
94
D
Couldn't be determined