CoCubes Mixture and Allegations Question and Answers Quiz-1

∴Required Ratio= 4:4 or 1:1

Taking Initial capacity of the bowl as x

\frac{6x}{11} - 6 = \frac{4}{9} (x-6)

=> \frac{6x - 66}{11} = \frac{4x - 24}{9}

=>  54x - 594 = 44x - 264

=> 54x - 44x = 594 - 264

=> 10x = 330

=> x = \frac{330}{10} = x = 33 liters

Initially the capacity was 33 liters after that 6 liters of rum was added which increased the capacity to = 33 + 6 = 39 liters.

 

By the rule of alligation, we have:

Profit on 1st part (8 %)                       Profit on 2nd part (18 %)

Mean profit (14 %)

18 - 14 = 4                                                       14 - 8 = 6

Ration of 1^st and 2^nd parts = 4 : 6 = 2 : 3

So, Quantity of 2^nd kind = (3/5) x 1000 = 600 kg

Suppose,
C.P. of juice = Re 1/litre
Gain percentage = 30%

C.P. of 1 Litre blend = 100/130*1
= 10/13
We know,
=
1/1 = (1-10/13) / (10/13-0)
= 3/13 : 10/13

Let the CP of 1 kg black pepper = Re. 1
The SP of I Kg mixture = Re 1
Gain = 35%
Therefore, CP of 1 Kg mixture = 100/135 * 1 = 20/27
We know,
=Ratio of black pepper: papaya seed = 20/27: 7/27
Hence, part of papaya seed in the mixture = 7/27 * 100 = 25.92%

By the rule of alligation, we have:

Ratio of 1st and 2nd quantities = 6: 25
By the rule of ratio, if x:y is the ratio, to get the quantity of x, the formula is x/(x+y),and to
get the quantity of y, the formula is y/(x+y)

Therefore, required quantity replaced = 25/25 + 6 = 25/31

Let the capacity of the vessel be 10
So, water from liquid A = 6 * 25/100 = 1.5
And, water from liquid B = 4 * 30/100 = 1.2
Total water = 1.5 + 1.2 = 2.7
In terms of percentage = 2.7/10 *100 = 27%

Using the rule of allegation,
Cost of first type of coffee and Cost second type of coffee is Rs 20 & Rs 60

Mean Price
35

60 – 35 = 25 35 – 20 = 15
Required Ratio = 25:15
= 5:3

Using the rule of allegation, we get
Price of water and  Price of 1-litre milk  is Rs 0 & Rs 40

Mean= 24

40 – 24 = 16

24-0 = 24

Ratio = 16: 24 = 2: 3

By the rule of allegation, we get
Batter     Cinnamon
20             52

Mean Price= 35.50

52 – 35.50 = 16.50

35.50 – 20 = 15.50

Ratio = 16.50 : 15.50
= 33: 31