InfyTQ Allegation and Mixture Quiz 4

CP of the first type of Wheat = 7
CP of the second type of wheat = 5
CP of mixture = 6
CP of the first type of wheat            CP of the second type of wheat
7                                                                                 5

Mean= 6

1                                                                                 1
Required ratio= 1: 1 =1.

Ratio = 12 – 7.5 : 7.5 -5
= 4.5: 2.5
= 9: 5
Let the quantity at 4 per kg = x
Therefore, 9:5 = x:20
X= 36 kg

Consider the provided information.

To calculate the proportion we use the formula:

If two ingredients are mixed, then the formula used is:

\frac{\text{Quantity of expensive}}{\text{Quantity of cheaper}} = \frac{\text{Mean price - CP of Cheaper}}{\text{CP of expensive - Mean price}}

The cost price of cheaper is 1.45.

The cost price of expensive is 1.60.

The mean price is 1.54.

Substitute the respective values in the above formula.

\frac{\text{Quantity of expensive}}{\text{Quantity of cheaper}}=\frac{1.54-1.45}{1.60-1.54}

\frac{\text{Quantity of expensive}}{\text{Quantity of cheaper}}=\frac{.09}{0.06}

\frac{\text{Quantity of expensive}}{\text{Quantity of cheaper}}=\frac{9}{6}

\frac{\text{Quantity of expensive}}{\text{Quantity of cheaper}}=\frac{3}{2}

Hence, the required proportion is 3:2

Mixture = 15 liter.

It contain 20% alcohol.

Alcohol = 20 % of 15 = 3 liter.

Water = 12 liter.

Now, 3 liter water is added,

Water become = 12 + 3 = 15 liter.
Total mixture = 15 + 3 = 18 liter.
Now, % of Alcohol into new mixture = (3*100/18) = 16.66%.

S.P. Of 1 kg mixture =  Rs. 1.75,  gain= 25%.

Mean price= Rs.

(Dearer price) : (cheaper price)=20:40=1:2.

Let the sugar sold at 8% gain = x

Therefore, Sugar sold at 18% gain = (50 - x)

Let CP of sugar = Rs.y per kg

Total CP = Rs.100y

Therefore, (108/100)×xy)+118/100(50−x)y = (114/100)×50y

108xy+5900y−118xy=5700y

10x=200

x=20

Quantity sold at 18% profit

= 50 - 20 = 30 kg

Quantity of milk = 729 x = 567 ml
Quantity of water = (729-567) = 162 ml
Water to be added =
X= 81