Ravi initially had a certain number of chocolates, while Bhanu initially had 80% of the number of chocolates that Ravi initially had. Ravi gave 10% of his chocolates to his sister, while Bhanu received from his uncle another 35% of the number of chocolates he initially had. If Bhanu finally had 54 chocolates, how many chocolates did Ravi give to his sister?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 5.
Let the initial number of chocolates Ravi and Bhanu have be x and y, respectively.
y = 0.8x
⇒ x = y/0.8
Bhanu's final chocolates = 1.35y = 54
⇒ y = 54/1.35 = 40
⇒ x = 40/0.8 = 50
Ravi gave 10% of his chocolates = 0.10 × 50 = 5
Therefore, Ravi gave 5 chocolates to his sister.