Ratio And Proportion

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51 In an army selection process, the ratio of selected to unselected candidates was 4:1. If 90 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

A
1650
B
3300
C
825
D
4950

52 The ratio of a two-digit natural number to a number formed by reversing it's digit's is 4 : 7. Which of the following is the sum of all the numbers of all such pairs?

A
99
B
198
C
330
D
132

53 In class A, the ratio of boys to girls is 2 : 3. In class B the ratio of boys to girls is 4 : 5. If the ratio of boys to girls in both classes put together is 3 : 4, what is the ratio of number of girls in class A to number of girls in class B?

A
\frac{3}{4}\)
B
\frac{3}{5}\)
C
\frac{4}{5}\)
D
\frac{4}{7}\)

54 Four numbers in the ratio of 1:3:4:7 add up to give a sum of 75. Find the value of the biggest number:

A
42
B
35
C
49
D
63

54 A, B and C have a few coins with them. 7 times the number of coins that A has is equal to 5 times the number of coins B has while 6 times the number of coins B has is equal to 11 times the number of coins C has. What is the minimum number of coins with A, B and C put together?

A
110
B
174
C
154
D
165

56 Given ratio are a : b = 2 : 3, b : c = 5 : 2, c : d = 1 : 4. Find a : b : c:

A
2 : 3 : 6
B
4 : 5 : 6
C
10 : 15 : 6
D
1 : 5 : 7

57 A bag contains ₹ 600 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 3:4:12. Find the total number of 25 paise coins in the bag:

A
75
B
200
C
300
D
900

58 If there are ₹ 495 in a bag in denominations of one-rupee, 50 paisa and 25 paisa coins, which are in the ratio 1 : 8 : 16. How many 50 paisa coins are there in the bag?

A
50
B
220
C
440
D
None of these

59 P is directly proportional to Q, and Q = 7 when P = 15, find P when Q = 14:

A
36
B
54
C
30
D
60

60 A and B invested ₹ 12,000 and ₹ 18,000 respectively in a business for the whole year. At the year-end, there was a total profit of ₹ 2,000. What is the share of A in the profit?

A
₹ 800
B
₹ 1,200
C
₹ 1,600
D
None of these