Accenture Ratio and Proportion Quiz-1

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

a+b+c=98 ---- (1)
a/b=2/3 or a=(2/3)b ----- (2)
b/c=5/8 or c= (8/5)b ----- (3)
Substitute equations (2) and (3) in Equation(1)
b=30

We have,

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 - 24 =12L}}

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

Added water= 54- 42= 12 L

Given:

Cost of the milk per liter of quantity 1 = Rs. 10

Cost of the milk per liter of quantity 2 = Rs. 11

To find: Ratio of milk of both quantities so that cost of mixture per liter is Rs. 10.6

let x be the Quantity of the milk 1 and y be the Quantity of the milk 2.

According to the question,

10x + 11y = 10.6( x + y )

10x + 11y = 10.6x + 10.6y

11y - 10.6y = 10.6x - 10x

0.4y = 0.6x

y/x = 0.6/0.4

y/x = 3/2

x/y = 2/3

Therefore, Required Ratio of milks is 2 : 3

 

Ratio = 2:3:5

Define x:

Let x be the constant ratio

Ratio = 2x : 3x : 5x

Solve x:

2x + 3x + 5x = 5000

10x = 5000

x = 500

Find the shares:

2x = 2(500) = 1000

3x = 3(500) = 1500

5x = 5(500) = 2500

Find the shares after increase:

2x + 500 = 1000 + 500 = 1500

3x + 500 = 1500 + 500 = 2000

5x + 500 = 2500 + 500 = 3000

Find their new ratio:

Ratio = 1500 : 2000 : 3000

Simplify by dividing by 500 :

Ratio = 3 : 4 : 6

Answer: The new ratio is 3 : 4 : 6

 

The correct answer is D: 16:27

Let Ramu’s salary be 300 and Raju’s salary be 100

After 1 month, salary of Ramu and Raju will be 270 and 120. (Based on given conditions)

After 2 months salary of Ramu and Raju will be 243 and 144

So the ratio of the salary of Raju to Ramu will be 16:27

 

Let the side of a cube be 'a'

Total surface area of cube = 6a^{2}

Total surface area of 3 cubes = 3 × 6a^{2} = 18a^{2}

After joining 3 cubes in a row,

length of Cuboid =3a

Breadth and height of cuboid = a

Total surface area of cuboid = 2 (3a^{2} + a^{2} + 3a^{2}) = 14a^{2}

Ratio of total surface area of cuboid to the total surface area of 3 cubes = 14a^{2} / 18a^{2} =7/9

Hence, the ratio is 7 : 9

GIVEN

Rs 5000 was divided among 5 men, 6 women, and 5 boys.

The ratio of the shares of men, women, and boys are 5:3:2

Now.

let the required amount be 5x ,3x and 2x respectively .

Total amount = Rs. 5000.

A\Q

5x + 3x + 2x = 5000

10x = 5000

x=5000/10

x = 500

Men's share = 5x = 5×500 = Rs.2500

Women's Share = 3x = 3×500=Rs. 1500.

Boys's share = 2x = 2×500 =Rs.1000

✔Share of each Boy(Asked in the question)

=(Total share of boys/ total number of boys)

= Rs.(1000/5)

= Rs. 200

 

Option B Explanation Volume of salt in mixture = 70% salt × volume of mixture=\frac{70}{100}\times 40=28 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 =4+x litre

We know that, Volume of salt = 28 litres

Therefore,

Salt % in a new mixture. (\frac{28}{40+x})\times 100

But Now Salt percent in a new mixture decreases to 40%