WeCP Mixture and Alligation Quiz 1

Answer:

Let he mixes the oils in the ratio = x : y

Then, the cost price of the oils = 60x + 65y

Given selling price = Rs. 68.20

=> Selling price = 68.20(x+y)

Given profit = 10% = SP - CP

=> 10/100 (60 x + 65y) = 68.20(x+y)-(60x + 65y)

=> 6x + 6.5y = 8.20x + 3.20y

=>2.2x = 3.3y

=> x : y = 3 : 2

Hence the correct option is D

Answer:

Let the percentage of fluorine = x

\frac{(30 - X)}{(X- 25)} = \frac{7}{3}

=> 4X = 265

X = 66.25

So, required percentage of fluorine = 66.25 %

Hence Correct Answer is Option A

Answer:

Let us assume that the lotion has 40% alcohol and 60% water.

ratio = 2:3

As the total solution is 7ml

alcohol  = 2.8

Water = 4.2

Now if we want the quantity of alcohol = 30%

The quantity of water = 70%

The new ratio = 3:7

Let x ml of water be added

2.8 / 2.8+x = 3:7

X = 3.75

Hence the correct answer is Option A

Answer:

Let the milk he bought is 1000 ml

Let C.P of 1000 ml is Rs. 100

Here let he is mixing K ml of water

He is getting 25% profit

=> Now, the selling price is also Rs. 100 for 1000 ml

=> 100 : K%

= 100 : 25

4 : 1 is ratio of milk to water

=> Percentage of milk = 10 x 100/13 = 80%

Hence the correct answer is Option B

Answer:

Given mixture = 64 lit

Milk in it = 64 x 5/8 = 40 lit

=> Water in it = 64 - 40 = 24 lit

Let 'L' lit of water is added to make the ratio as 3:5

=> 40/(24+L) = 3/5

=> 150 = 54 + 3L

=> L = 42 lit.

Hence the correct answer is Option A

Answer:

Let the capacity of the box be 'b' litres.

Quantity of milk in the mixture before adding milk = 6 / 13 (P -10)

After adding milk, quantity of milk in the mixture = 7 / 15 P.

The capacity of the pot is 46 liters

Hence the correct option is B

Answer:

Since first second varieties are mixed in equal proportions, so their average price = Rs.(175+148)/2= Rs.161.50

So, Now the mixture is formed by mixing two varieties, one at Rs. 161.50 per kg and the other at say Rs. 'x' per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find 'x'.



=> x = 184+22.5

x = 206.5

Hence the correct option is A

Answer:

Profit (%) = 25 % = 1/4

Since the ratio of water and milk is  1 : 4,

Therefore the ratio of water is to mixture = 1:5

Thus the quantity of water in mixture of 1 liter = 1000 x (1/5) = 250ml

Hence the correct option B

Answer:

Suppose the vessel initially contains 10 litres of liquid.

Let x litres of this liquid be replaced with water.

Quantity of water in new mixture = (4 - 4x/10 +x)

Quantity of ketchup in new mixture = (6 - 6x/10)

 

(4 - 4x/10 +x ) = (6-6x/10)

X = 10 / 6

So the part to be mixed = 10/6 x 10

= 50 / 3

Hence the Correct Option is A

Answer:

Total mixture = 48 + 144 = 192 litre

% of Glycerin = 48/ 192 x 100 = 25% = % of Rose water = 75%

In the final mixture glycerin= 30%, Rose water = 70%

Ratio = 30 : 70 = 3 : 7

(48 - D x 25% + 32) : (144 - D x 75% + 48) = 3 : 7

7 (48 - D x 25% + 32) = 3 (144 - D x 75% + 48)

7 (80 - 0.25 D) = 3 (192 – 0.75 D)

560 - 1.75 D = 576 - 2.25 D

2.25 D - 1.75 D = 576 - 560

0.5 D = 16

D = 32 litre

Hence, option D is correct.