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- Question
- 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
- Correct Answer
- 37.5 kgs and 12.5 kgs
ExplanationAccording 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. - 1. In what ratio must water be added to spirit to gain 25% by selling it at cost price?
Options- A. 1 : 4
- B. 4 : 1
- C. 3 : 4
- D. 4 : 3 Discuss
- 2. 6 liters of milk and water mixture has 75% milk in it. How much milk should be added to the mixture to make it 90% pure?
Options- A. 8 liters
- B. 9 liters
- C. 10 liters
- D. 12 liters Discuss
- 3. Two vessels A and B contain mixture of milk and water in the ratio 4 : 1 and 9 : 11 respectively. They are mixed in the ratio of 3 : 2. Find the ratio of milk and water in the resulting mixture.
Options- A. 34 : 16
- B. 33 : 17
- C. 16 : 34
- D. 17 : 33 Discuss
- 4. A shopkeeper buys 26 liter of milk @ Rs. 16 per liter. He also buys from another source an inferior quality of milk @ Rs. 10 per liter. How much quantity of the later should he buy to mix it with the former so that he can sell the mixture @ Rs. 14 per liter without making any loss?
Options- A. 13 liter
- B. 12 liter
- C. 14 liter
- D. 16 liter Discuss
- 5. 640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water?
Options- A. 310 ml
- B. 320 ml
- C. 330 ml
- D. 340 ml Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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 Discuss
Alligation or Mixture problems
Search Results
Correct Answer: 1 : 4
Explanation:
Let cost price of spirit be Re. 1 per liter.
Then SP of mixture = Re. 1 per liter
Gain = 25%
So, CP of mixture = 1 × (100 / 125) = Re. 4 / 5
We assume that CP of water is zero.
Using allegation rule on cost price,
Water should be mixed to spirit in the ratio (1 / 5) : (4 / 5) or 1 : 4
Correct Answer: 9 liters
Explanation:
The given solution has 75% milk.
Milk to be added has 100% milk.
Milk should be added to the given mixture in the ratio 15 : 10 or 3 : 2
? Quantity of milk to be added = (3 / 2) × 6 = 9 liters.
Correct Answer: 33 : 17
Explanation:
Correct Answer: 13 liter
Explanation:
Quantity of milk @ Rs.10 per liter / Quantity of milk @ Rs. 16 per liter = 1 / 2
So, quantity of milk @ Rs. 10 per liter = 26 / 2 = 13 liter.
2nd Method
Let us assume shopkeeper buy P liter milk of price @ Rs. 10 per liter.
Buy price of 26 liter of milk @ Rs. 16 per liter = 26 x 16
Buy price of P liter of milk @ Rs. 10 per liter = P x 10
Sell price of total milk ( P + 26 ) @ Rs. 14 per liter = 14 x ( P + 26 )
According to question there is no loss or no profit.
Then Buy Price = Sell Price
26 x 16 + P x 10 = 14 x ( P + 26 )
? 26 x 16 + 10P = 14P + 14 x 26
? 26 x 16 - 26 x 14 = 14P - 10P
? 2 x 26 = 4P
? 4P = 2 x 26
? P = 2 x 26 / 4 = 13
So, quantity of milk @ Rs. 10 per liter = 13 liter.
Correct Answer: 320 ml
Explanation:
Let us assume the ratio product is Q.
According to question,
Quantity of Milk in mixture = 6Q ml
Quantity of Water in mixture = 2Q ml
Quantity of Milk in mixture + Quantity of Water in mixture = 640
6Q + 2Q = 640
8Q = 640
Q = 640/8
Q = 80
Quantity of Milk in mixture = 6Q ml = 6 x 80 = 480 ml
Quantity of Water in mixture = 2Q ml = 2 x 80 = 160 ml
To find the new mixture containing half milk and half water,
Quantity of water to be added for making the mixture of equal quantity of milk and water = 480 - 160 = 320
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: 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: 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: 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: 18
Explanation:
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
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