Ratio And Proportion Test

Result

Ratio And Proportion Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

The sum of three numbers is 98. The ratio of the first two numbers is 2 : 3 and that of the last two numbersis 5 : 8. Find the 2^nd number.

A
48

B
30

C
20

D
15

Solution

Let the numbers be x, y and z.
x + y + z = 98

Also, x : y = 2 : 3 and y : z = 5 : 8
Therefore, x : y : z = 10 : 15 : 24

Let x = 10k, y = 15k and z = 24k
Then, 10k + 15k + 24k = 98

⇒ k = 2
The numbers are 20, 30 and 48.

Hence, second number is 30.
Question 2
1 / -0

The marks scored by Steve and Tony bears a ratio 3 : 5 and the difference between their marks is 32. Find their individual marks.

A
48, 80

B
38, 70

C
58, 90

D
24, 56

Solution

Let the marks scored by Steve and Tony is 3x and 5x respectively.
Also 5x - 3x = 32 {According to question}

2x = 32 ⇒ x = 16
Hence individual marks are 48, 80
Question 3
1 / -0

David gave a portion of his money to Arnold. Arnold in turn gave one-third of what he received to Rosy and Rosy gave one half of what she received to Pat. If Pat got $5, how much money did David have?

A
$30

B
$45

C
$60

D
Cannot be determined

Solution

Since David gave a portion of his money to Arnold & no information has been provided regarding this portion.
Question 4
1 / -0

A, B and C brought mangoes in the ratio 5 : 3 : 2. If the difference between number of mangoes with A and C is 60, then find the difference between the number of mangoes with B and C.

A
20

B
30

C
40

D
50

Solution

Let the respective number of mangoes brought by A, B and C be 5x, 3x and 2x.

Now, 5x - 2x = 60
⇒ x = 20

Now, share of B = 60 and share of C = 40
Therefore, the required difference = 60 - 40 = 20
Question 5
1 / -0

A bag contains 25-cent, 10-cent and 5-cent coins in the ratio 1 : 2 : 3, respectively. If the total value of the coins is $36, the number of 25-cent coins is

A
40

B
53

C
55

D
60

Solution

Let x be the number of 25-cent coins.
Number of 10-cent coins = 2x

Number of 5-cent coins = 3x
Total value of the coins = 25x + 20x + 15x = 60x
According to the question:

60x = 3600
x = 60

So, the number of 25-cent coins is 60.