Multiple choice

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

  1. 135

  2. 180

  3. 240

  4. 205
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the wages be 4x, 3x, and 2x. Total earnings = 15(4x) + 18(3x) + 12(2x) = 60x + 54x + 24x = 138x. Given 138x = 2070, so x = 15. The wages for 1 man, 2 women, and 3 boys = 1(4*15) + 2(3*15) + 3(2*15) = 60 + 90 + 90 = 240.

AI explanation

Let the daily wages of a man, a woman, and a boy be 4x, 3x, and 2x respectively. The total earnings equation is 15 multiplied by 4x, plus 18 multiplied by 3x, plus 12 multiplied by 2x, which equals 2070. This simplifies to 60x plus 54x plus 24x, resulting in 138x equals 2070, so x equals 15. The total wages for 1 man, 2 women, and 3 boys are calculated as 1 multiplied by 4x, plus 2 multiplied by 3x, plus 3 multiplied by 2x, which equals 16x. Multiplying 16 by 15 gives the final result of Rs. 240.

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