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- Question
- 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.
Options- A. 19.50
- B. 19
- C. 18.50
- D. 18
- Correct Answer
- 18
ExplanationLet 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 - 1. A container is full of milk. One-third of milk is taken out of it and replaced by same quantity of water. Then again one-third of the mixture is taken out of it and replaced by the same quantity of water. The process is repeated 4 times. If 16 litres of milk is left in the container at the end of 4th operation, find the capacity of the container.
Options- A. 76 litres
- B. 81 litres
- C. 82 litres
- D. 85 litres Discuss
- 2. In a courtyard there are many chickens and goats. If heads are counted, it comes to 100 but when legs are counted, it comes to 320. Find the number of chickens and goats in the courtyard.
Options- A. 20 , 50
- B. 30 , 70
- C. 40 , 60
- D. 50 , 50 Discuss
- 3. If 4 kg of an alloy made of 1/4th iron and rest is mixed with 6 kg of another alloy made of 2/3rd iron and rest tin, find the ratio of iron to tin in the resultant mixture.
Options- A. 1 : 1
- B. 2 : 1
- C. 1 : 2
- D. 3 : 2 Discuss
- 4. The average monthly salary of employees, consisting of officers and workers, of an organisation is Rs. 3000. The average salary of an officer is Rs. 10,000 while that of a worker is Rs. 2000 per month. If there are total 400 employees in the organisation, find the number of officers and workers separately.
Options- A. 300 , 100
- B. 50 , 350
- C. 250 , 150
- D. 310 , 90 Discuss
- 5. A shopkeeper has 50 kgs of rice. He sells a part of it at 20% profit and the rest at 40% profit. If he gains 25% on the whole, find the quantity of each part.
Options- A. 12.5 kgs and 37.5 kgs
- B. 37.5 kgs and 12.5 kgs
- C. 23.5 kgs and 21.5 kgs
- D. 21.5 kgs and 23.5 kgs Discuss
- 6. In what ratio of water be mixed with milk to gain 16 2/ 3 % on selling the mixture at cost price?
Options- A. 4 : 3
- B. 2 : 3
- C. 6 : 1
- D. 1 : 6 Discuss
- 7. 729 ml. of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in ratio 7 : 3?
Options- A. 600 ml
- B. 710 ml
- C. 520 ml
- D. None of these Discuss
- 8. In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added is ?
Options- A. 20 litres
- B. 30 litres
- C. 40 litres
- D. 60 litres Discuss
- 9. A merchant has 50 kg. of sugar part of which he sells at 8 % profit and the rest at 18 % profit. He gains 14 % on the whole. The quantity sold at 18 % profit is ?
Options- A. 20 kg
- B. 30 kg
- C. 15 kg
- D. 35 kg Discuss
- 10. In what proportion must wheat at Rs. 1·60 per kg be mixed with wheat at Rs. 1·45 per kg. So that the mixture be worth Rs. 1·54 per kg?
Options- A. 2 : 3
- B. 3 : 2
- C. 3 : 4
- D. 4 : 3 Discuss
Alligation or Mixture problems
Search Results
Correct Answer: 81 litres
Explanation:
Let capacity of the container be P liter; then
P(1 ? 1/3)4 = 16
? P (2 / 3)4 = 16
? P(16 / 81) = 16 liters
? P = 81 liters
Correct Answer: 40 , 60
Explanation:
Average no. of legs per head = (320 / 100) = (16 / 5)
or, 3 : 2
No. of goats = (3 / 3 + 2) × 100 = 60
No. of chickens = 100 ? 60 = 40.
Correct Answer: 1 : 1
Explanation:
Total quantity of iron = 4 (1 / 4) + 6 (2 / 3) = 1 + 4 = 5 kg.
Total quantity of tin = (4 + 6) ? 5 = 5 kg.
In the resultant mixture, iron : tin = 5 : 5 or 1 : 1
Correct Answer: 50 , 350
Explanation:
As per figure we can calculate the ration as below
Number of officers / Number of workers = 1000 / 7000 = 1 / 7
No. of officers = 1 / (1 + 7) × 400 = 50
No. of workers = 400 ? 50 = 350
Correct Answer: 37.5 kgs and 12.5 kgs
Explanation:
According to figure we find that the ratio will be 3 : 1.
Quantity sold at 20% profit = 3 / (3 + 1) × 50 = 37.5 kgs.
Quantity sold at 40% profit = (50 ? 37.5) = 12.5 kgs.
Correct Answer: 1 : 6
Explanation:
Let C.P. of 1 liter milk be Re. 1, Gain = 16 2/3 % = 50/3 %
and S.P. of 1 liter mixture = Re. 1
then C.P. of 1 liter mixture = (1 x (100 x 3) / 350) = Re. (6 / 7)
By the rule of alligation,
Hence, required ratio = (1/ 7) : (6 / 7) = 1 : 6
Correct Answer: None of these
Explanation:
Correct Answer: 60 litres
Explanation:
Here , Ratio of milk and water in mixture of 60 litre = 2 : 1
? Quantity of milk = 2y = 40 litre
Quantity of water = y = 20 litre
If ratio of milk and water is to be 1 : 2, then in 40 litres of milk, water should be 80 litre
? Quantity of water to be added = 60 litre.
Correct Answer: 30 kg
Explanation:
Correct Answer: 3 : 2
Explanation:
Using the Alligation method ,
Here , C1 = 160 paise , C2 = 145 paise and Mean cost Price ( M ) = 154 paise
Required ratio = ( M - C2 ) : ( C1 - M )
? (Dearer wheat) : (Cheaper wheat) = 9 : 6
Hence , (Dearer wheat) : (Cheaper wheat) = 3 : 2
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