Ramesh mixes 60 liters of type-1 acid with some liters of type-2 acid. type-1 acid rate is rs. 32 per litre while type-2 rate is rs. 23 per liter. ramesh sells this acid-mix at rate rs. 28 per liter. how much type-2 acid is needed to make it a no profit no loss transaction?
Answers
Answer:
The amount of type 2 acid required to make the mixture sold at rs 28 per liter is 48 liters.
Explanation:
Let x be the amount of type 2 acid mixed with 60 liters of type 1 acid.
For there to be no profit nor loss transaction, the initial price should be equal to the final price.
Now, the initial price is given by:
The cost of type 1 acid + the cost of type 2 acid
= 60 × 32 + 23 × x = 1920 + 23x
when type 1 acid is mixed with type 2 acid we get:
= (60 + x) liters
The mixture is sold at rs 28 per liter.
So, the final cost is given by:
(x + 60) 28
= 28x + 1680
Now, we have that:
Initial cost = final cost
equating the two we have:
23x + 1920 = 28x + 1680
28x - 23x = 1920 - 1680
5x = 240
x = 48
The amount of type 2 acid required to make the mixture is 48 liters.
Answer:
type 1:- 60 litres rs. 32 => 60* 32
type 2:- 23 litres rs. 23 => 23* s
here s is assume that there is s litres.
60*32+23s = 28*60+28s
60(40) = 5s
s = 40 litres
