Copper and zinc are in the ratio 2 : 3 in 200 gms of an alloy. The qua...
Given:
- Copper and zinc are in the ratio 2:3 in an alloy
- Total weight of alloy = 200 g
To find:
- Quantity of copper to be added to make the ratio 3:2
Approach:
- Let's assume that the quantity of copper in the alloy is 2x and the quantity of zinc is 3x (according to the ratio given)
- So, the total quantity of the alloy can be written as 2x + 3x = 5x
- We know that the total weight of the alloy is 200 g. Hence, we can write:
5x = 200
x = 40
- So, the quantity of copper in the alloy is 2x = 2*40 = 80 g
- And the quantity of zinc in the alloy is 3x = 3*40 = 120 g
- Now, we need to add copper to make the ratio 3:2, which means we need to add more copper to the existing copper in the alloy.
- Let the quantity of copper to be added be y.
- So, the new quantity of copper will be (80+y) and the new quantity of zinc will be 120.
- We need to make the ratio of copper and zinc 3:2. Hence, we can write:
(80+y)/120 = 3/2
- Solving the above equation, we get:
y = 100 g
Therefore, the quantity of copper to be added to make the ratio 3:2 is 100 g. Hence, the correct answer is option A (100).
Copper and zinc are in the ratio 2 : 3 in 200 gms of an alloy. The qua...
Option A
100