Proportion Test - 1

Cost of  packets = 64.24

Cost of 1 packet = 64.24/8 = 8.03

Now, Cost of 12 packets ( 1 dozen ) = 12 X 8.03 = 96.36

Cost of 7 dozens = 7 X 96.36 = Rs. 674.52

14 × X = 26 × 7

X = (26 × 7)/14

X = 182/14

X = 13

Given

Ratio of the length and the width of a rectangular chart paper = 13: 9

Width of the chart paper = 22.5 cm

Hence the value of length can be calculated as shown below

13: 9 = x: 22.5

13/ 9 = x / 22.5

9 × x = 13 × 22.5

x = (13 × 22.5) / 9

x = 292.5 / 9

x = 32.5

Therefore the length of chart paper is 32.5 cm

The mean proportion between 7 and 28 can be calculated as below

Mean proportion = √ 7 × 28

= √ 196

= 14

Therefore mean proportion between 7 and 28 is 14

X × 4 = 16 × 7 

X = (16 × 7)/4

X = 112/4

X = 28  

Total Score of the full team  = 375

Combined score of Dhawan and Rahane = 49 + 66 = 105

Ratio of Combined core of Dhawan and Rahane to the team score is 

⇒115:375

⇒7:25

Given

The ages of Ganesh and Suresh are in the ratio = 5: 3

Age of Ganesh = 25 years

Let the age of Suresh be x years

Hence the value of Suresh’s age can be calculated as shown below

5: 3 = 25: x

5 / 3 = 25 / x

5 × x = 25 ×3

x = (25 × 3) / 5

x = 75 / 5

x = 15

Therefore the age of Suresh is 15 years

Total percentage of employees = 100 %

  Employees present = 97%

Employees absent = 100 – 97 % = 3%

Let the total number of employees be x.

3% of x = 93

•  3/100 X x = 93
•  x = 93 X 100/3
•  x = 31 X 100
•  x = 3100

Total strength = 3100 employees

Given

Ratio between 9 and 4 is same as the ratio between Rs x and Rs 32.40

Hence, the value of x can be calculated as below

9: 4 = x : 32.40

4x = 9 × 32.40

x = (9 × 32.40) / 4

x = (291.6) / 4

x = 72.9

Therefore the value of x is 72.9

Let the third term be x 

So , 16:6 and x : 24

16 : 6 : : x : 24

x × 6 = 16 ×24

x = 384/6

x = 64

Given

Costs of two watches are in the ratio = 9 : 7

Cost of first watch = Rs 1800

Let us assume the cost of second watch be x

Hence the value of second article can be calculated as shown below

9: 7 = 1800: x

9 / 7 = 1800 / x

9 × x = 1800 × 7

x = (1800 × 7) / 9

x = 12600 / 9

x = 1400

Therefore the cost of second watch is Rs 1400

Given

Numbers are 8, x and 18 are in continued proportion

Hence we can find out value of x as below

8: x = x: 18

x2 = 18 × 8

x = √144

x = 12

Therefore the value of x is 6

Given

Cost of 35 kg wheat = Rs 875

Cost of x kg wheat = Rs 425

The value of x can be calculated as shown below

35 kg: x kg:: 875: 425

35 × 425 = 875 × x

875 x = 14875

x = 14875 / 875

x = 17

Therefore, 17 kg of wheat costs Rs 425

Given

Amount divided among Nisha, Bhoomi and Chaya in the ratio = 4: 5: 3

Total amount divided = Rs 24480

Hence the sum of ratio can be calculated as below

Sum of ratio = 4 + 5 + 3

= 12

Hence the share of  Bhoomi can be calculated as below

Bhoomi’s share = Rs (24480) / 12 × 5

= 2040 × 5

= Rs 10200

Petrol required for travelling1530 km = 85 litres

Distance travelled in 1 litre petrol  => 1530/85 = 18km

Now , petrol required for travelling 3420 km => 3420/18 = 190 litres 

Price of 1 litre petrol = 65 ( given )

Now total cost of travelling for 3420 kilometres => 190 X 65

Rs. 12350

Let the length be x metres.

Width = 36 m

Ratio of length to width = x : 36

According to the question 

7:3 = x:36

3 × x= 7 × 36

x = (7 × 36)/3

x = 252/3

x = 84

Given

(2x + 4y): (3x + 7y) = 5: 6

We can calculate x: y as below

6(5x + 4y) = 5(3x + 7y)

30x + 24y = 15x + 35y

30x – 15x = 35y – 24y

15x = 11y

x / y = 11 / 15

Therefore x: y is 11: 15

Given

Ratio of length of two ladders = 5: 3

And shorter ladder = 8.4 ft

Let the length of longer ladder be x

Hence, the length of longer ladder can be calculated as below

5: 3 = x: 8.4

3x = 8.4 × 5

x = (8.4 × 5) / 3

x = 42/ 3

x = 14 ft

Therefore the length of longer ladder is 14 feet.

Let the sale of tomatoes on Monday be x.

Total sale in the whole week = 480

According to the question, 

3 : 8 =  x : 480

8 X x = 3 X 480

x = (3 X 480)/8

x = 1440/8

x = 180

Cloth required for 12 trousers = 54 m

Cloth required for making 1 trouser = 54/12 = 4.5m

Cloth required for making 38 trousers = 38 X 4.5 

= 171 m