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The weight of two persons Amit and Sumit is in the ratio 5 : 7. Sumit’s weight is increased by 20% and the total weight of Amit and Sumit together became 156kg with an increase of 30%. By what percent did the weight of Amit increase?

The weight of two persons Amit and Sumit is in the ratio 5 : 7. Sumit’s weight is increased by 20% and the total weight of Amit and Sumit together became 156kg with an increase of 30%. By what percent did the weight of Amit increase? Correct Answer 44%

GIVEN :

The weight of two persons Amit and Sumit is in the ratio 5 : 7.

Sumit’s weight is increased by 20% and the total weight of Amit and Sumit together became 156kg with an increase of 30%.

 

CALCULATION :

Weight of Amit + Weight of Sumit = 156 × 100/130

Weight of Amit = 156 × 100/130 × 5/12 = 50 kg

Weight of Sumit = 156 × 100/130 × 7/12 = 70 kg

Initial weight = 50 + 70 = 120 kg

Now, after increasing Sumit’s weight = 70 × 120/100 = 84 kg

After increasing Amit’s weight = 156 – 84 = 72 kg

∴ Required percent = (72 – 50)/50 × 100 = 44%

 

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