To gain 10% on selling sample of milk at the cost price of pure milk, the quantity of water to be mixed with 50 kg. of pure milk is:

A. 2.5 kg B. 5 kg C. 7.5 kg D. 10 kg Answer: Option B
Show Answer

Solution(By Apex Team)

1st Method (Method of Alligation): Let the quantity of water to be mixed is x kg. Let cost of milk be Rs. 1 per kg. Then SP of 50 kg of milk with gain 10% = Rs. 55 [As Cost of 50 kg milk = Rs. 50, then SP = (50 + 10% of 50)] Alligation mcq question4 To gain 10% on selling sample of milk.. Then, water to be mixed is 5 kg, As the selling price of the milk is Rs. 1 per kg. Seller has to have 10% gain on 50 kg milk, he must have to add 5 kg water to 50 kg milk.
Alternate: 2nd Method (Simple Method): Let the quantity of water mixed be x kg. Let CP of 1 kg of pure milk = Rs. 1. Hence, $\begin{aligned}&\%\text{ gain }=x\times\frac{100}{50}\\ &10=\frac{100\mathrm{x}}{50}\\ &\text{ Or, }2x=10\\ &\text{ or, }x=5\mathrm{~kg}\text{ . }\end{aligned}$

Related Questions On Alligation

The ratio, in which tea costing Rs. 192 per kg is to be mixed with tea costing Rs. 150 per kg so that the mixed tea when sold for Rs. 194.40 per kg, gives a profit of 20%.

A. 2 : 5
B. 3 : 5
C. 5 : 3
D. 5 : 2
Show Answer

An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

A. $\large\frac{1}{2} \mathrm{~kg}$
B. $\large\frac{1}{8} \mathrm{~kg}$
C. $\large\frac{3}{14} \mathrm{~kg}$
D. $\large\frac{7}{9} \mathrm{~kg}$
Show Answer

In a 729 litres mixture of milk and water, the ratio of milk to water is 7 : 2. to get a new mixture containing milk and water in the ratio 7 : 3, the amount of water to be added is:

A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres
Show Answer

In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength?

A. 1 : 2
B. 1 : 3
C. 2 : 1
D. 3 : 1
Show Answer

More Related Questions On Alligation

Leave Your Thoughts Here...