Q.1 Milk vendor has 2 cans of milk. First contains 25% water & rest milk. Second contains 50% water. How much milk should he mix from each of the container so as to get 12 litres of milk such that ratio is 3:5 ?

A) 4 litres

B) 5 litres

C) 6 litres

D) 7 litres

Ans. C

Let the cost of 1 litre milk be Re. 1

Milk in 1 litre mix. in 1st can = 3 litre, C.P. of 1 litre mix. in 1st can Re. 3

4 4

Milk in 1 litre mix. in 2nd can = 1 litre, C.P. of 1 litre mix. in 2nd can Re. 1

2 2

Milk in 1 litre of final mix. = 5 litre, Mean price = Re. 5

8 8

By the rule of alligation, we have:

C.P. of 1 litre mixture in 1st can C.P. of 1 litre mixture in 2nd can

3

4

Mean Price

5

8

1

2

1

8

1

8

Ratio of two mixtures = 1 : 1 = 1 : 1.

8 8

So, quantity of mixture taken from each can = 1 x 12 = 6 litres.

2

Q.2 We have 100 litres of Vodka & take 10 litre & add 10 litre of water. Then after 3 processes what is the quantity of Vodka ?

A) 27 litre

B) 28 litre

C) 29 litre

D) 30 litre

Ans. A

Original quantity is 100 & if we take 10 litre then 90% is left i.e. 0.9

Then, V=100*(0.9)3

Or V=72.9

Or water=100-72.9

=27.1 litre

Q.3 Tea worth Rs.126/kg & Rs.135/kg are mixed with third variety in ratio 1:1:2.If mixture is worth Rs.153/kg by the price of third variety/kg will be :

A) 175.5

B) 180.2

C) 175.1

D) 180.6

Ans. A

126 135 x

1kg 1kg 2kg

153

Or 126+135+2x=4*153

Or 261+2x=612

2x=351

X=175.5

Q.4 Discount on Rs. 2562 due 4 months hence is Rs.122. Rate % is ?

A) 2%

B) 3%

C) 4%

D)5%

Ans. D

2562-122=2440

122*100 /2440=5%

Q.5 729 ml of mixture contains milk & water in the ratio of 7:2. How much water is to be added to get a new mixture containing milk & water in the ratio of 7:3 ?

A) 80 ml

B) 81 ml

C) 82 ml

D) 83 ml

Ans. B

Milk=729*7/9 = 567 ml

Water=729-567=162 ml

Or 567/162+x=7/3

Or 1701=134+7x

X=81 ml

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