Subject
Quantitative Aptitude
Topic
Time and Work
Rs. 78 is divided among 7 men, 11 women and 5 boys so that each woman may have thrice as much as a boy and as much as a man and a boy together. Find the share of a man?
Rs. 78 is divided among 7 men, 11 women and 5 boys so that each woman may have thrice as much as a boy and as much as a man and a boy together. Find the share of a man?
ক)
Rs. 1.50খ)
Rs. 3.00গ)
Rs. 4.50ঘ)
Rs. 6.00ঙ)
Rs.5.50Explanation
Say M is the share of a man, W is the share of a woman and B is the share of a boy. ⇒ W = 3 × B …… Eq.1 W = B + M …… Eq.2 7M + 11W + 5B = 78 …… Eq.3 From Eq.1 and Eq.2 We get, 3B = B + M ⇒ M = 2B Substitute M = 2B in Eq.3 ⇒ 14B + 11W + 5B =78 ⇒ 11W + 19B = 78 Put W = 3B ⇒ (11 × 3 + 19) × B = 78 B = 78/52 = Rs.1.50 W = 3 × 1.50 = Rs.4.50 From Eq.2 We get, M = W – B = 4.50 – 1.50 = Rs.3.00Related questions
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