Weight of Ayush and Abhishek are in the ratio of 8: 5. Abhishek's weight increases by 40 percent and the total weight of Ayush and Abhishek both increase by 60 percent. If the total weight becomes 104 kg, then what is the weight of Ayush after the increment?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 69kg.
Let Ayush's initial weight be 8x and Abhishek's initial weight be 5x
Abhishek's new weight = 5x(140/100) = 7x
New weight Ayush and Abhishek = (8x + 5x) × (160/100) = 7.8x
Total weight = 8x + 5x + 7.8x = 20.8x
20.8x = 104
⇒ x = 104/20.8 = 5
⇒ 7x = 7 × 5 = 35
Ayush's weight after increment = 104 - 35 = 69 kg
Hence, the weight of Ayush after the increment is 69 kg.