Reliance Jio Ratio and Proportion Quiz 1

Answer : 32
Explanation:
Quantity of hot water = (40 \times \frac{3}{5})
Quantity of cold water = 40-24=16 liters
New Ratio = 1:2
Let the quantity of cold water to be added be x liters,
Then, \frac{24}{16+x} = \frac{1}{2}
48=16+x
x=32
Quantity of cold water to be added is 32 liters.

Answer : 432
Explanation:
Given ratio = \frac{1}{2} : \frac{2}{3} : \frac{3}{4} = 6 : 8 : 9.
Second part= (1242 \times \frac{8}{23}) = Rs 432

Answer : 260 : 107 : 162
Explanation:
Let Electricity bill = 3x , Grocery = 2x and Gym=4x
New electricity bill expenditure= \frac{104}{100} \times 5x = \frac{52x}{10}
New grocery expenditure = \frac{107}{100} \times 2x = \frac{214x}{100}
New gym expenditure = \frac{108}{100} \times 3x = \frac{324x}{100}
New ratio = \frac{52x}{10} : \frac{214x}{100} : \frac{324x}{100} = 260 : 107: 162

 

Answer : 19\prod : 2
Explanation:
Circumference of square = 4 x side of square =76m
Side of square = 19m
Circumference of circle = 2\prod x radius of circle = 76m
Radius of circle = \frac{38}{\prod}
Area of square = 19 x 19 = 369

Then, Area of square : Radius of circle = 369 : \frac{38}{\prod} = \frac{19\prod}{2}

 

Answer : 2 : 3
Explanation:

5% of n1 + 6% of n2 = \frac{2}{3} (9% of n1 + 8% of n2)
[18-16] % of n2 = [18-15] % of n1
2 % of n2 = 3% of n1
n1 : n2 = 2:3

 

 

 

 

Answer : 3:4

Explanation:

To get the whole number, the sum of ratios must be the factor of 16.

Answer : 162

Explanation:

Let the value of one rupee, 50 paise and 25 paise be 11x, 9x, 5x respectively.

No. of 1 rupee coins = \frac{11x}{1} =11x
No. of 50 paise coins = \frac{9x}{0.5} ==18x
No. of 25 paise coins = \frac{5x}{0.25} =20x

11x + 18x + 9x = 342
38x = 342
x = 9

Therefore, no. of 1 rupee coins = 11 x 9 = 99 coins
No. of 50 paise coins = 18 x 9 = 162 coins
No. of 25 paise coins = 20 x 9 = 180 coins

Answer : 9

Explanation:
Assume that the daily wages of man, women and daughter are Rs 5x, Rs. 4x, Rs 3x respectively.
Multiply (no. of days) with (assumed daily wage) of each person to calculate the value of x.
[3 x (5x)] + [2 x (4x)] + [4 x (3x)] = 105
[15x + 8x + 12x] = 105
35x = 105
x = 3
Hence, man's daily wage = 5x = 5 x 3 = Rs. 15
Wife's daily wage = 4x = 4 x 3 = Rs. 12
Daughter's daily wage = 3x = 3 x 3 = Rs. 9

Answer : 32

Explanation:

Given ratio of number of sheep and horses = 4 : 15
Let number of sheep and horses are 4k and 15k
Number of horses = \frac{13200}{110} =120
Now 15K = 120 and k = 8
Number of sheep = 4k = (4 x 8) = 32

Answer : 11

Explanation:

6 gears meshed with wheel of 12 gears and smaller wheel made 22 revolutions
Therefore,
12:6 :: 22:x
12 × x=6 × 22
x =
11