The weights of two persons, A and B, are in the ratio of 5 : 3 respectively. If the weight of A increases by 5% and the total weight of A and B becomes 92 kg with an increase of 15%, then find the percentage increase in the weight of B. (Correct up to 2 decimal places)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 31.67 Percent.
Calculations:
The ratio of the weights of two persons, A and B = 5x : 3x
After a 15% increase in weight, the sum of the weight of A and B = 92
So, sum of their initial weight = 92 × 100/115 = 80 kg
⇒ 5x + 3x = 80
⇒ x = 10
So, initial weight of A and B = 5x : 3x = 50 : 30
5% increase in weight of A = 50 × 105/100 = 52.50
Let's B's increase weight = k
According to the question,
⇒ 52.50 + 30 + k = 92
⇒ k = 9.5
Required percentage = 9.5/30 × 100 = 31.67%