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Two types of alloy possess gold and silver in the ratio of 7 : 22 and 21 :37. In what ratio should these alloys be mixed so as to have a new alloy in which gold and silver would exist in the ratio 25 : 62 ?
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- 13 : 8
- 8 :13
- 13 :12
- 6 : 9
Correct Option: A
| Quantity of gold in 1 kg of alloy ‘A’ = | |
| 29 |
| Quantity of gold in 1kg of alloy ‘B’ = | |
| 58 |
| Quantity of gold in 1 kg of alloy ‘C’ = | |
| 87 |
| ∴ Required ratio = |  | − |  | : | | − | | ||||
| 58 | 87 | 87 | 29 |
| = | : | ||
| 174 | 87 |
| = | : | ||
| 174 | 87 |
= 13 : 8
