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Question 17
Ramu has several friends and all of them are well settled in India. $$\frac{1}{5^{th}}$$ of Ramu's friends went to Mumbai and $$\frac{1}{3^{rd}}$$ of his friends went to Delhi, three times the difference of these two went to Chennai and only one went to Pune. How many of his friends went to Mumbai?
Solution
Let the total number of friends be T
The total number of friends went to Chennai= 3 (T/3-T/5)= 2T/5
Number of friends went to Pune= T-T/5-2T/5-T/3
= T-14T/15
=T/15=1
T=15
The number of friends who went to Mumbai=T/5 =15/5=3
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