34
Weights of two friends A and B are in the ratio of 7 : 8. A’s weight increases by 10% and the total weight of A and B increase by 20%. What is the percentage increase in the B’s weight?
- A28.75
- B11.55
- C32.85
- D24.25
Answer not set
Discussion 1
Log in or create a free account to reply and vote.
0
CCommunity
Let the initial weight of A and B be ‘7x’ and ‘8x’ units respectively
Total weight of A & B = 7x + 8x = 15x
When A’s weight increases by 10% & total weight increases by 20%,
⇒ A’s increased weight = 110% of 7x = 1.1 × 7x = 7.7x
⇒ Total increased weight = 120% of 15x = 1.2 × 15x = 18x
Hence,
B’s increased weight = 18x - 7.7x = 10.3x
⇒ Increase in B’s weight = 10.3x - 8x = 2.3x
∴ Percentage increase in B’s weight = 2.3x/8x × 100 = 28.75%
Total weight of A & B = 7x + 8x = 15x
When A’s weight increases by 10% & total weight increases by 20%,
⇒ A’s increased weight = 110% of 7x = 1.1 × 7x = 7.7x
⇒ Total increased weight = 120% of 15x = 1.2 × 15x = 18x
Hence,
B’s increased weight = 18x - 7.7x = 10.3x
⇒ Increase in B’s weight = 10.3x - 8x = 2.3x
∴ Percentage increase in B’s weight = 2.3x/8x × 100 = 28.75%