Capgemini Ratio’s & Proportion Questions and Answers Quiz-1

Option B Explanation Volume of salt in mixture = 70% salt × volume of mixture litre and Volume of water in mixture = 40 - 28 = 12 liter

To decrease the salt percent by 40% Let, x water is added. Then volume of mixture litre We know that, Volume of salt = 28 litres   Therefore,  Salt% in a new mixture. But Now Salt percent in a new mixture decreases to 40%

200
The ratio of shares of groups of men, women and boys = 5 :3 :2
So share of boys is = (2/10)*5000 = 1000
Share of a boy= 1000/5 = 200

Volume of a cube = 6a²
Volume of 3 cubes = 18a²
Volume of three cubes placing adjacent each other =
6a²+4a²+4a²= 14a²
Ratio= 16/18 = 7:9

let salary of raju is P
Then ramu’s salary is 3P
After 2 months raju’s salary becomes P(1+20/100)2 -- (1)
After 2 months ramu’s salary becomes 3P(1+20/100)2 --(2)
Ratio= (1)/(2) = 16:27

When 5000 is shared among p,qand r in the ratio of 2:3:5 then,
p=5000×2÷10=1000
q=5000×3+10=1500
r=5000×5+10=2500
and if upon this 500 is added to each of them then
p=1500
q=2000
r=3000
then new ratio will be
3:4:6

 

10 * x + 11 * y = (x+y) * 10.6
( Assume x & y quantity in vessels 1 & 2 respectively )
Solve for x/y = 2:3

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 = 5 x 3 : 8 x 3 = 3 : 24/5

A : B : C = 2 : 3 : 24/5 = 10 : 15 : 24

B = 98 x 15/49 = 30.

Mixture of whiskey and water = 66 liters

Initial ratio of whiskey and water = 4:7

Changed ratio of whiskey and water = 2:3

Let the whiskey be 4x
and water be 7x

A/q

4x+7x = 66
=> 11x = 66
=> x = 66/11 = 6

Whisky = 4×6 = 24 litres
Water = 7×6 = 42 litres

Now,

4+x/7+x = 2/3

=> 3(4+x) = 2(7+x)

=> 12 + 3x = 14 + 2x

=> 3x - 2x = 14 - 12

=> x = 2

Then,

Whisky = 4+x = 4+2 = 6

Water = 7+x = 7+2 = 9

So,
Whiskey = 6 × 6 = 36 litres
Water = 9×6 = 54 litres

Hence,

Initial weight of whiskey = 24 litres
Changed Weight of whiskey = 36 litres

Added Whiskey 36-21=12L

Initial weight of water = 42 litres
Changed Weight of water = 54 litres

Added Water-54-42=12 L

Using cross product rule, we get,

(10/3).(5/4)  =  x.(5/2)

25/6  =  5x/2

(25/6).(2/5)  =  x

5/3  =  x

x  =  5/3