Quiz-1

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

Using the rule of allegation, we get
Price of water Price of 1-litre milk
1                                40
Mean
24

40 – 24 = 16 24-0 = 0
Ratio = 16: 24 = 2: 3

Using the rule of allegation,
Cost of first type of coffee Cost second type of coffee
20                        60

Mean Price
35

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

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%

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 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%

SP = 60. Gain= 20%. CP = (100/120) x 60. ∴ CP = 50.
Ratio between the 2 varieties of custard powder = 60 – 50 : 50 –42 = 10 : 8. ∴ if x is the required quantity then 10 : 8 = x : 16 ⇒ x =20 kg.

Let the C.P of the milk be Re. 1 per litre
Then,
S.P of 1 litre of mix =Re 1,
Gain% =50/3%
C.P of 1 Litre of Mix =Rs(100 x 3/350 x 1)
=Re 6/7

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.

 

Required Ratio = 4:4
= 1:1