An alloy contains copper and tin in the ratio 3 : 2. If 250 g of copper is added to this alloy, the quantity of copper becomes exactly double the quantity of tin. What is the amount of tin (in grams) present in the original alloy?

Introduction:
This question tests ratio-based composition in alloys and how the composition changes when one component is added. An alloy is a mixture of metals, and the ratio tells us their relative quantities. Here, copper and tin are in the ratio 3:2 initially. When 250 g of copper is added, the new condition says copper becomes double tin. We must find the original tin quantity. The key is to represent original quantities using a common multiplier and then apply the new relationship after the addition.

Given Data / Assumptions:

• Initial copper : tin = 3 : 2• Copper added = 250 g• After addition: copper = 2 * tin

Concept / Approach:
If copper:tin = 3:2, let copper = 3x and tin = 2x for some x. After adding 250 g copper, new copper amount becomes 3x + 250, while tin remains 2x. Use the condition that new copper equals double the tin to form an equation and solve for x. Then compute tin = 2x.

Step-by-Step Solution:
Step 1: Represent original alloy quantities.Copper = 3x, Tin = 2xStep 2: Add 250 g copper.New copper = 3x + 250Tin stays the same = 2xStep 3: Apply the condition “copper becomes double tin”.3x + 250 = 2*(2x)3x + 250 = 4xStep 4: Solve for x.x = 250Step 5: Find tin in the original alloy.Tin = 2x = 2*250 = 500 g

Verification / Alternative check:
Original copper = 3x = 750 g and tin = 500 g. After adding 250 g copper, new copper = 1000 g while tin remains 500 g. Indeed, 1000 is exactly double 500, so the condition is satisfied, confirming the calculation.

Why Other Options Are Wrong:
250 g would make tin too small; copper could not become exactly double after adding only 250 g.750 g and 1000 g are too large and would break the required doubling relationship.625 g is not consistent with a clean integer ratio 3:2 and the exact doubling condition.

Common Pitfalls:
• Adding 250 g to the total alloy instead of only to copper.• Misreading “copper becomes double tin” as “tin becomes double copper”.• Forgetting that tin amount does not change during the addition.

Final Answer:
The amount of tin in the original alloy is 500 g.