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A liquid costing $12 per litre is sold at $13.75, so as to make a profit of 25% after addition of water to it. Find the ratio of liquid to water added.
  • a)
    12 : 11
  • b)
    11 : 1
  • c)
    1 : 9
  • d)
    9 : 1
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A liquid costing $12 per litre is sold at $13.75, so as to make a pro...
Given:
Cost price of the liquid = $12 per litre
Selling price of the liquid = $13.75 per litre
Profit percentage = 25%

To find:
The ratio of liquid to water added.

Let's assume that x litres of liquid is mixed with y litres of water.

Cost price of x litres of liquid = $12x
Cost price of y litres of water = $0 (as water is assumed to be free)

Total cost price = Cost price of liquid + Cost price of water
= $12x + $0
= $12x

Profit = Selling price - Cost price
25% of Cost price = $12x * (25/100)
= $3x

Selling price = Cost price + Profit
$13.75 = $12x + $3x
$13.75 = $15x
x = $13.75/$15
x = 0.92

So, the quantity of liquid added is 0.92 litres.

Now, let's calculate the quantity of water added.
Quantity of water added = Total quantity - Quantity of liquid
= 0.92 - 1
= 0.08

So, the quantity of water added is 0.08 litres.

The required ratio of liquid to water added is 0.92 : 0.08, which can be simplified as follows:
0.92/0.08 = 11.5/1
Multiplying by 2 to get whole numbers, we get:
(11.5*2) : (1*2)
23 : 2

So, the ratio of liquid to water added is 23 : 2, which is approximately equal to 11 : 1.

Hence, the correct answer is option B) 11 : 1.
Free Test
Community Answer
A liquid costing $12 per litre is sold at $13.75, so as to make a pro...
SP of new liquid = $13.75/litre
CP of new liquid = $ x 13.75 = $11
Cost of water = $0/litre
Now, applying the rule of alligation,
Liquid : Water = 11 : 1
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