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- 16. A mixture contains milk and water in the ratio 6:3. On adding 10 litters of water, the ratio of milk to water becomes 6:5. The quantity of milk in the original mixture is?
A.90
B.45
C.110
D.40
Answer & Explanation
Answer: Option B 
milk:water = 6:3
6x : 3x + 10 = 6 : 5
5[6x] = 6[3x + 10]
30x = 18x + 60
30x - 18x = 60
12x = 60
x = 5
The quantity of milk in the original mixture is = 6 : 3 = 6 + 3 = 9
9x = 45
Short cut method - 2 : for Only milk problems
milk : water
6 : 3
6 : 5
milk ratio same but water ratio 2 part incress per 10 liters
2 part of ratio -------> 10 liters
9part of ratio -------> 45 liters
View Answer
- 17. A mixture contains milk and water in the ratio 5:4. On adding 30 litters of water, the ratio of milk to water becomes 5:7. Total quantity of milk & water before adding water to it?
A.90
B.120
C.80
D.70
Answer & Explanation
Answer: Option A
milk: water = 5:4
5x : 4x + 30 = 5 : 7
7[5x] = 5[4x + 30]
35x = 20x + 150
35x - 20x = 150
15x = 150
x = 10
The quantity of milk in the original mixture is = 5 : 4 = 5 + 4 = 9
9x = 90
Short cut method:
milk:water = 5 : 4
after adding 30 liters of water
milk:water = 5 : 7
milk is same but water increse 30liters then the water ratio is increse 3 parts
3 part -----> 30 liters
The quantity of milk in the original mixture is = 5 : 4 = 5 + 4 = 9
9 parts -----> 9 liters (Answer is = 90)
Short cut method - 2 : for Only milk problems
milk : water
5 : 4
5 : 7
milk ratio same but water ratio 3 parts incress per 30 liters
3 part of ratio -------> 30 liters
1 part of ratio -------> 10 liters
9 part of ratio ------> 90 liters
View Answer
- 18. A mixture contains milk and water in the ratio 3:2. On adding 10 litters of water, the ratio of milk to water becomes 2:3. Total quantity of milk & water before adding water to it?
A.10
B.30
C.50
D.20
Answer & Explanation
Answer: Option D
milk:water = 3:2
after adding 10 liters of water
milk:water = 2:3
Olny water patrs increase when mixture of water
milk:wate = 3:2 = 2*(3:2) = 6:4
after adding 10 liters of water
milk:water = 2:3 = 3*(2:3) = 6:9
milk parts always same
Short cut method:
milk:water = 6 : 4
after adding 10 liters of water
milk:water = 6 : 9
milk is same but water increse 10liters then the water ratio is increse 5 parts
5 part -----> 10 liters
The quantity of milk in the original mixture is = 6 : 4 = 6 + 4 = 10
10 parts -----> 20 liters (Answer is = 20)
Short cut method - 2 : for Only milk problems
milk : water
6 : 4
6 : 9
milk ratio same but water ratio 5 parts incress per 10 liters
5 part of ratio -------> 10 liters
10 part of ratio ------> 20 liters
View Answer
- 19. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number.
A.5 : 3
B.2 : 5
C.4 : 7
D.5 : 2
Answer & Explanation
Answer: Option A
Let the first number is A and second number is B.
As per question
(40/100)A = (2/3)B
A/B = 2/3 x 100/40
A/B = 5/3
=>A:B = 5:3
View Answer
- 20. 6 men, 8 women and 6 children complete a job for a sum of Rs.950. If their individual wages are in the ratio 4:3:2, the total money earned by the children is
A.Rs. 150
B.Rs. 170
C.Rs. 180
D.Rs. 190
Answer & Explanation
Answer: Option D
Ratio of wages of 6 men, 8 women and 6 children = 6 x 4 : 8 x 3 : 6 x 2
= 24 : 24 : 12
= 2 : 2 : 1
Money earned by children = 950 x (1/5) = Rs. 190
View Answer
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