Question

Six coins of equal weight made up of an alloy
of gold and silver are melted to make another
set of six coins. The ratio of gold and silver in
a coin is in ratio of 2:1, in two coins this ratio
is 3:5, and for remaining coins this ratio is 7
: 5. Find the ratio of gold and silver in new
coins?
सोने और चांदी से बने बराबर भार वाले छह सिक्कों को आपस में
गलाकर दोबारा बनाया जाता है। एक सिक्के में सोने और चाँदी का
अनुपात 2: 1 अन्य दो सिक्के में 3 : 5 और बाकी सिक्कों में 7:
5 का अनुपात है। नए सिक्कों में सोने और चाँदी का अनुपात क्या
होगा?
(A)/12:11
(B) 1 : 1
(C) 19:17
(D) 42:45
​

Answer 1

Given:

Ratio of gold and silver = r1 = 2:1,

Ratio = r2 = 3:5

Ratio = r3 = 7: 5

To Find:

The ratio of gold and silver in new  coins

Solution:

Let the weight of each coin be = x gms.

Therefore, the quantity of gold and silver in one coin = 2/3x and x/3

Similarly, the quantity of gold and silver in other two coins = 6/8x and 10/8 x

Quantity of gold and silver in three coins = 21/12x and 15/12x

Therefore, In new coins the quantity of gold and silver

= 2x/3 + 6x/8 + 21x/12 and

= x/3 + 10x/8 + 15x/12

= 38x/12 and 34x/12

Thus, ratio of gold and silver in new coins

= 38x/12 : 34x/12

= 19:17

Answer: The ratio of gold and silver in new  coins is 19:17