Khan the Barber!
Khan the Barber shaved 40% of his customers and did haircut for 80% of his customers & did both for 20% of his customers. He charges Rs.25 for a shave & Rs.60 for a haircut. What were khan's earnings if there were 100 customers?
The answer is 5800.
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1 solution
If Kan has 100 customers, then forty (40) customers do shave (S), and sixty (60) customers do haircut (H), and twenty do the two things ( S ∩ H ) . However 40 + 60 + 20 = 120, then n(S) = n(S) - n( S ∩ H ) and n(S) = 40 - 20, n(S) = 20. n(H) = n(H) - n( S ∩ H ), n(H) = 60 - 20, n(H) = 40. Thence n(S) + n(H) + n( S ∩ H ) = 20 + 40 + 40 = 100. Then the Khan's earning is 20x25 + 60x60 + 20x85 = 5800. The answer is Rs. 5800.