Question : 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?
Option 1: 3
Option 2: 6
Option 3: 5
Option 4: 4
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Correct Answer: 5
Solution : Let the number of chocolates with Ravi be $x$. Given: The total number of chocolates with Bhanu at last = 54 Then, the number of chocolates with Bhanu = $0.8x$ The number of chocolates Ravi gave to his sister = $0.1x$ Number of chocolates with Bhanu after he received chocolates from his uncle = $1.35\times 0.8x$ So, $1.35\times 0.8x = 54$ $\therefore x = 50$ So, the Number of chocolates Ravi gave to his sister $=0.1\times 50 = 5$ Hence, the correct answer is 5.
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