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In a family, father ate 1/4th part of the cake. If he ate 3 times more cake than the cake eaten by each family member, then how many members are there in family?

In a family, father ate 1/4th part of the cake. If he ate 3 times more cake than the cake eaten by each family member, then how many members are there in family? Correct Answer 10

Calculation:

Let the number of members in the family be n except father.

Let the whole cake be 100 units.

Father ate = 100 × 1/4 = 25 units

Remaining cake = 100 - 25 = 75 units

Distribution of cake in n members = 75/n unit/members

⇒ 25 = 3 × 75/n

⇒ n = 9

∴ Number of members in family = 9 + 1 = 10

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