Gold and copper are melted in the ratio 3:7 If in 50 Kg of mixture, 5 Kg of gold is replaced by 5 kg of copper, what will be the new ratio
1:3
5:7
2:3
1:4
Explanation:
Before replacement
Weight of gold in 25Kg of mixture = (Gold's ratio value / Sum of the ratio values) x 25
= 3/10 x 50 = 15 Kg
Therefore, weight of copper in 50Kg mixture = 50 – weight of gold = 50 – 15 = 35kg
After replacement
If 5 Kg of gold is replaced with 5 Kg of copper, the new value of Gold will be
15 – 5 = 10 Kg
and new value of copper will be 35 + 5 = 40 Kg
Threfore, new ratio will be 10:40 = 1:4
Before replacement
Weight of gold in 25Kg of mixture = (Gold's ratio value / Sum of the ratio values) x 25
= 3/10 x 50 = 15 Kg
Therefore, weight of copper in 50Kg mixture = 50 – weight of gold = 50 – 15 = 35kg
After replacement
If 5 Kg of gold is replaced with 5 Kg of copper, the new value of Gold will be
15 – 5 = 10 Kg
and new value of copper will be 35 + 5 = 40 Kg
Threfore, new ratio will be 10:40 = 1:4