15 men, 18 women and 12 boys working together earned Rs 2070 If the daily wages of a man, a woman and a boy are in the ratio 4 : 3 : 2 the daily wages ( in Rs) of 1 man, 2 women and 3 boys are
A
135
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B
180
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C
240
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D
205
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Solution
The correct option is C 240 Suppose the daily wages of a man, a woman and a boy are 4k, 3k and 2k respectively.
∴15×4k+18×3k+12×2k=2070
⇒60k+54k+24k=2070⇒138k=2070⇒k=15
∴Daily wages of a man, a woman and a boy are Rs60,Rs45 and Rs30respectively,
∴Daily wages of 1 man + 2 women + 3 boys =Rs60+2×Rs45+3×Rs30=Rs60+Rs90+Rs90=Rs240