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In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy, the same elements are in the ratio 2 : 3. If these two alloys be mixed to form a new alloy in which two elements are in the ratio 5 : 8, the ratio of these two alloys in the new alloy is
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- 3 : 10
- 3 : 7
- 10 : 3
- 7 : 3
Correct Option: A
| In first alloy, zinc = | |
| 3 |
| In second alloy, zinc = | |
| 5 |
| In the new alloy, zinc = | |
| 13 |
By the rule of Alligation,
∴ Required ratio
| = |  | − |  | : | | − | | ||||
| 5 | 13 | 13 | 3 |
| = | : | ||
| 65 | 39 |
| = | : | = | : | ||||
| 65 | 39 | 5 | 3 |
= 3 : 10
