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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