In a rare coin collection, there is one gold coin

In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1:2. Based on the information; the total number of corns in the collection now becomes

  1. 90
  2. 80
  3. 60
  4. 50

Answer

Gold coins - G; Non-Gold Coins - N

Initial ratio = G:N = 1:3 or 3G = N

After adding 10 gold coins, the ratio becomes

(10+G):N = 1:2

2(10+G) = N or 20 + 2G = N = 3G

On solving, G = 20 and N = 60

Presently, the total number of coins in the collection = (10+G)+N = 10+20+60 = 90

The correct option is A.