The ratio of ‘metal 1’ and ‘metal 2’ in alloy ‘A’ is 3 :4.Therefore, we can say that 14 kg of alloy 'A' will contain
=6kg of 'metal 1' and
=8 kg of 'metal 2'.
The ratio of ‘metal 1’ and ‘metal 2’ in alloy ‘B’ is 5 :8.Therefore, we can say that 26 kg of alloy 'B' will contain
=10kg of 'metal 1' and
=16 kg of metal 2'
Hence, total weight of 'metal 1' in the new alloy
=6+10=16kgTotal weight of 'metal 2' in the new alloy
=8+16=24kg
Therefore, the ratio of ‘metal 1’ and ‘metal 2’ in the new alloy.
=16:24=2:3. Hence, option C is the correct answer.