IIFT 2020 Question 4

Question 4

Sumit stays in Noida in a joint family comprising of his parents, uncle, aunt, an elder sister and a
cousin two years younger than him. Sumit completed his MBA in 2013, from a reputed B-School.
That year, the average age of Sumit's family was 41. Sumit got married in 2015 and two years after he
became father. If the average age of Sumit's family in 2019 remains same as in 2013, and Sumit is
older than his wife by 3 years, at what age did Sumit graduate MBA ?

Solution

Let Sumit's age at the time of graduating MBA [in 2013] be $$X$$ years. Thus, his wife's age that year will be $$X-3$$ years.

The average age of the family in 2013 = 41 years.

Thus, the total age of the family in 2013 = 7 x 41 = 287

Sumit got married in 2015. Thus, his wife's age in 2015 will added to the family's total.

The total age of family in 2015 = 287 + 14 + $$X$$ - 3 + 2 = $$X$$ + 300

In 2017, Sumit had a daughter.

The total age of the family in 2017 = $$X$$ + 300 + 8(2) = $$X$$ + 316

The total age of the family in 2019 = $$X$$ + 316 + 9(2) = $$X$$ + 334

We are given that the average age of the family in 2019 is the same as that in 2013.

Thus, $$X$$ + 334 = 41 x 9 = 369

$$X$$ = 369 - 334 = 35 years

Thus, the age of Sumit at the time of graduating MBA is 35 years.

Hence, the answer is option B.



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