Discussion

Explanation:

Assume x and y are the prices of alloy per gram and 'w' is the replacing amount.

Considering alloy A first:
Total price of allow A initially = 260x
When w grams is removed, price of alloy A left = 260x - wx
When w grams of alloy B is added, price of alloy A now = 260x - wx + wy
Price of new alloy A per gram = 260x-wx+wy260

Similarly, Price of new alloy B per gram = 360y-wy+wx360

∴ 260x-wx+wy260360y-wy+wx360

⇒ 260x-wx+wy13360y-wy+wx18

4680x – 18wx + 18wy = 4680y – 13wy + 13wx

⇒ 4680(x – y) = 31w(x – y)

⇒ w = 4680/31 = 150.96 gm

Hence, option (b).

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