Question : Zinc and copper are in the ratio 5 : 3 in 400 gm of an alloy. How much copper (in grams) should be added to make the ratio 5 : 4?
Option 1: 50
Option 2: 66
Option 3: 72
Option 4: 200
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Correct Answer: 50
Solution :
Given: Zinc and copper are in the ratio 5 : 3.
Zinc in 400 gm of an alloy = $\frac{5}{8}$ × 400 = 250 gm
Copper in 400 gm of an alloy = $\frac{3}{8}$ × 400 = 150 gm
Let $x$ gm Copper be added for the required ratio.
$\frac{250}{150+x}$ = $\frac{5}{4}$
⇒ $1000$ = $750+5x$
⇒ $5x$ = 250
⇒ $x$ = $\frac{250}{5}$ = 50 gm
Hence, the correct answer is 50.
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