Question

Subject: Mathematics Scenario: Sohan is inviting his friends Raju, Somu, and Rahul. His Father brought 2kgs cake and 3litres juice. Sohan eats 1/4 cake and drinks 1/6 juice. Raju eats 1/3 of remaining cake only he did not like juice so he did not drink. Somu eats 1/5 of remaining cake and drinks 1/5 of remaining juice. Remaining cake and juice were consumed by Rahul. Happy Birthday Question:2) What is the quantity of cake remaining for Rahul ? A) 500grams B) 700grams (C) 800grams (D)400gram​

Answer 1

Step-by-step explanation:

the correct answer is option B ie. 700 grams

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Answer 2

Solution :-

→ Father brought Cake = 2 kg .

→ Father brought juice = 3 litres .

Now,

Sohan Eats :-

→ (1/4) cake + (1/6) juice .

So,

→ Remaining = (3/4) cake + (5/6) juice = (3/4) * 2 + (5/6) * 3 = (3/2) kg cake + (5/2) litre juice .

Raju Eats :-

→ (1/3) of remaining cake .

So,

→ Remaining = (2/3) of remaining cake + (5/2) litre juice = {(2/3) * (3/2) = 1} 1kg cake + (5/2) litre juice .

Somu Eats :-

→ (1/5) of remaining cake + (1/5) of remaining juice .

So,

→ Left for Rahul = (4/5) of remaining cake + (4/5) of remaining juice = (4/5) of 1 kg cake + (4/5) of (5/2) litre juice .

→ Left for Rahul = (4/5) kg cake + 2 litre juice .

therefore,

→ Cake Left for Rahul = (4/5) kg = (4/5) * 1000 = 800 gm (Ans.)

Hence, the quantity of cake remaining for Rahul is Option (C) 800 grams .

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