Rs. 69 were divided among 115 family members so that each lady gets 50 paise less than each gentleman, and each gentleman received twice the paise as each lady received. Find the number of gentlemen in the family?

Explanation:

Total number of female members = 115

Let the number of males = x

Number of females = y

=> x + y = 115 ……(1)

According to the given data,

x + y(0.50) = 69 ……(2)

From (1) & (2), we get

0.5y = 46

=> y = 46 x 2 = 92

=> x = 115 – 92 = 23

Hence, required number of gentlemen in the family = x = 23.