There are two types of alloys A and B, having different prices per gram, their weights being 260 g and 360 g, respectively. After equal amounts of alloy were taken from both, the amount removed from alloy A was mixed with alloy B and vice versa. Now, the resulting two types of alloy have the same price per gram. Find the amount of alloy drawn out from each type of alloy.
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+wy260 = 360y-wy+wx360
⇒ 260x-wx+wy13 = 360y-wy+wx18
4680x – 18wx + 18wy = 4680y – 13wy + 13wx
⇒ 4680(x – y) = 31w(x – y)
⇒ w = 4680/31 = 150.96 gm
Hence, option (b).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.