There are three types of zinc-aluminum alloy, \(M_1, M_2\) and \(M_3,\) with \(10\%, 40\%\) and \(70\%\) concentration

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There are three types of zinc-aluminum alloy, \(M_1, M_2\) and \(M_3,\) with \(10\%, 40\%\) and \(70\%\) concentration of zinc respectively. If \(p\) grams of \(M_1,\) \(q\) grams of \(M_2\) and \(r\) grams of \(M_3\) is mixed to form \(p +q+ r\) grams of mixture with \(25\%\) zinc concentration, what is the value \(r\) in terms of \(p\) and \(q?\)

A. \(\dfrac{p-q}3\)

B. \(\dfrac{p-q}2\)

C. \(\dfrac{p+q}2\)

D. \(\dfrac{p+q}3\)

E. \(\dfrac{p+2q}3\)

Answer: A

Source: e-GMAT