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If 12 persons working 16 h per day earn Rs.33600 per week, then how much will 18 persons earn working 12 h per day?
A) Rs.40000
B) Rs.35000
C) Rs.28800
D) Rs.37800
Correct answer:
D) Rs.37800
Description for Correct answer:
Let the required earnings be Rs.x.
More persons, More earnings (Direct proportion)
Less hours per day, Less earnings (Direct proportion)
Persons 36 : 30
:: 33600 : x
Hours per day 8 : 9
Therefore, \( \Large \left(12 \times 16 \times x\right)=\left(18 \times 12 \times 33600\right) \)
Therefore, \( \Large x = \frac{18 \times 12 \times 33600}{12 \times 16} = 18 \times 2100 \)
= Rs.37800.
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