Question

Gandhi ji was on a long fast of 11 days. When the fast ended and he was going towards his ashram, he met a boy and a girl having laddus. The boy had 3 laddus and the girl had 5. All three (two children and Gandhi ji) sat down, and equally ate all the laddus together. Gandhi ji was very happy after eating laddus and invited them to come to his ashram. When they came to the ashram, he gave 1 barfi to the boy and 7 to the girl. As Gandhi ji was known for his ethics and strong sense of equality, justify Gandhi ji’s fairness of distributing the barfi.​

Answer 1

Answer:

Refer to the Image

Step-by-step explanation:

1. calculate the left out portion of their laddus that both boy and girl would eat if gandhiji wouldn't have eaten with them

2. find the ratio of the two.

Answer 2

Answer:

gandhiji has distributed the barfi with fairnness.

Step-by-step explanation:

• Number of laddu boy have=3
• Number of laddu girl have=5
• Total laddu=8
• Number of laddu eaten by each of them with gandhiji=$\frac{8}{3}$

        If gandhiji was not there, extra laddu eaten by

• Boy=$3-\frac{8}{3} =\frac{1}{3}$

• Girl=$5-\frac{8}{3} =\frac{7}{3}$
• Ratio of extra laddu =$\frac{\frac{1}{3} }{\frac{7}{3} }$=$\frac{1}{7}$
• Hence when gandhiji invited boy and girl in the ashram, he gave 1 barfi to boy and 7 barfi to the girl. The distribution was fair acoording to the the above calculations.

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