Multiple choice

Directions: Rahul works 2 days on 1st site and 5 days at 2nd site and gets Rs. 5400 and Rohit works 4 days on 1st site and 9 days at 2nd site and gets Rs. 9900. What is the wage of each day of 1st site?

  1. Rs. 900

  2. Rs. 450

  3. Rs. 1200

  4. Rs. 500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the wage for site 1 and y for site 2. 2x + 5y = 5400 and 4x + 9y = 9900. Multiplying the first by 2 gives 4x + 10y = 10800. Subtracting the second equation gives y = 900. Substituting back, 2x + 4500 = 5400, so 2x = 900, x = 450.

AI explanation

Let the daily wages for the first and second sites be x and y respectively. We can set up a system of linear equations: 2x + 5y = 5400 and 4x + 9y = 9900. Multiplying the first equation by two gives 4x + 10y = 10800, and subtracting the second equation from this result yields y = 900. Substituting y back into the first equation gives 2x + 4500 = 5400, which means x equals 450.

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