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Alligation or Mixture problems

Alligation or Mixture problems
A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel.

3 kg
8 kg
4 kg
5 kg

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the weight of vessel be xWeight of water = 24 ? x? (24 ? x)/4 + x = 9? 24 ? x + 4x = 36? 3x = 12? x = 4 kg

Alligation or Mixture problems
A grocer buys two kind of rice at Rs. 1·80 and Rs. 1·20 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs. 1·75 per kg, 25 % may be gained?

2 : 1
3 : 2
1 : 2
3 : 4

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Alligation or Mixture problems
If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain?

19%
30%
17%
25%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

He has gain = 15 - 12 = 3,Gain% = (3/12) x 100 = (100/4) = 25.He has 25% gain.

Alligation or Mixture problems
The ratio of milk and water in 66 kg of adulterated milk is 5 : 1. Water is added to it to make the ratio 5 : 3. The quantity of water added is ?

16·500 kg
20 kg
22 kg
24·750 kg

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Alligation or Mixture problems
The cost of type - I rice is Rs. 15 per kg and type - II is Rs. 20 per kg. If both type - I and type - II are mixed in the ratio of 2 : 3, then find the price per kg of the mixed variety.

19.50
18
18.50
19

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the price per kg of mixed variety be Rs. P; then By the rule of alligation,Now, (20 - P) / (P - 15) = (2 / 3) ? 60 ? 3P = 2P ? 30 ? 5P = 90 ? P = Rs. 18

Alligation or Mixture problems
A solution of sugar syrup has 15 % sugar. Another solution has 5 % sugar. How many liter of the second solution must be added to 20 liters of the first solution to make a solution of 10 % sugar?

20
15
10
5

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