Question

A and B are two alloys of silver and zinc in the ratio 2 : 3  and 5 : 2. Equal quantities of these alloy are mixed to form a new alloy. Find the ratio silver and zinc in the new alloy.

1. 39 : 31
2. 20 : 16
3. 12 : 21
4. 16 : 20
5. 31 : 39

Answer 1

Correct Answer - Option 1 : 39 : 31

Given:

Ratio of silver and zinc in A = 2 : 3

Ratio of silver and zinc in B = 5 : 2

Calculation:

Silver in A = 2/5

Zinc in A = 3/5

Silver in B = 5/7

Zinc in B = 2/7

Ratio of silver and zinc in the new mixture = (2/5 + 5/7)/(3/5 + 2/7)

⇒ 39/35 : 31/35

New ratio = 39 : 31

∴ Ratio of Silver and Zinc in new alloy = 39 : 31.