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Alligation or Mixture problems

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?

15
10
20
5

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Alligation or Mixture problems
A merchant has 1000 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:

640 kg
560 kg
600 kg
400 kg

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

By the rule of alligation, we have: Profit on 1st part Profit on 2nd part 8% Mean Profit 14% 18% 4 6 Ration of 1st and 2nd parts = 4 : 6 = 2 : 3 ∴ Quantity of 2nd kind = ❨ 3 x 1000 ❩kg = 600 kg.

Alligation or Mixture problems
Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?

73 : 116
73 : 113
73 : 106
73 : 189

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Alligation or Mixture problems
In what proportion water must be added to spirit to gain 20% by selling it at the cost price?

1:5
1:6
1:8
1:7

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Alligation or Mixture problems
Rs. 675 was divided among 75 boys and girls. Each boy gets Rs. 20 whereas a girl gets Rs. 5. Find the number of boys and girls.

25 , 50
30 , 45
20 , 55
15 , 60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Average money per head (boy or girl) = Rs. (675 / 75) = Rs. 9 Number of boys = 4 / (4 + 11) × 75 = 20 Number of girls = 11 / (4 + 11) × 75 = 55.

Alligation or Mixture problems
In what ratio of water be mixed with milk to gain 16 2/ 3 % on selling the mixture at cost price?

6 : 1
2 : 3
1 : 6
4 : 3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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