Correct Answer - Option 3 : 100 gm
Given:
Quantity of the alloy = 200 g
Gold : Silver = 2 : 3
Calculation:
Let the quantity of Gold to be added to alloy to make the ratio 3 : 2 be X
Quantity of Gold in alloy = (2/5) × 200 = 80 g
And quantity of Silver in alloy = (3/5) × 200 g
According to question,
(80 + X)/120 = 3/2
⇒ 80 + x = 180
⇒ x = 100 g
∴ The quantity of Gold to be added is 100 gm.