Copper and bronze are in the ratio 3 : 4 in 350 gm of an alloy. The quantity (in gm) of copper to be added to it to make the ratio 4 : 3 is:
Answer & explanation
Correct answer: option 1
Initial mixture,
Copper : Bronze
3 : 4
⇒ (3 + 4)x = 350 gm
⇒ 7x = 350
⇒ x = 50,
⇒ Copper = 3 x 50 = 150 gm, Bronze = 4 x 50 = 200 gm,
⇒ Amount of copper that should be added to make ration 4 : 3,
⇒ 3x = 200,
⇒ x = \(\frac{200}{3}\)
⇒ 4x = 4 x \(\frac{200}{3}\)
⇒ 4x = 266.67
⇒ 266.67 - 150 = 116.67.
Hence, Amount of copper that should be added to make ration 4 : 3 is 116.67 gm.