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Alligation or Mixture problems

Alligation or Mixture problems
How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

20
80
10
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let initial quantity be Q, and final quantity be F F = Q(1 - 8/Q) 4 => Q = 20

Alligation or Mixture problems
From a cask of wine, containing 64 liters, 8 liters are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of liters of wine left in the cask?

42 7 kg 8
48 7 kg 8
42 1 kg 8
42 3 kg 8

ANSWER DOWNLOAD EXAMIANS APP

Alligation or Mixture problems
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.

50 , 50
20 , 50
40 , 60
30 , 70

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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.

Alligation or Mixture problems
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 ?

35 kg
20 kg
15 kg
30 kg

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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
600 kg
400 kg
560 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
In a triangle XYZ , which of the following conditions is true

XY YZ < XZ
XY YZ > ZX
XY + YZ < ZX
XY + ZX < YZ

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of milk and water = 2 : 1 Quantity of milk = 60 X 2/3 = 40 litre Quantity of water = 20 litre To make ratio, 1: 2, we have to double the water that of milk So, water should be 80 litre. That means 80 ? 20 = 60 litre water to be added.

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