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. If Akash works for 4 days on 1st site and 3 days on 2nd site, what is his total wages?

  1. Rs. 4500

  2. Rs. 6000

  3. Rs. 7500

  4. Rs. 3600
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A Correct answer
Explanation

Let x be the wage per day at site 1 and y be the wage per day at site 2. 2x + 5y = 5400 and 4x + 9y = 9900. Multiplying the first by 2 gives 4x + 10y = 10800. Subtracting the second from this gives y = 900. Then 2x + 5(900) = 5400, so 2x = 900, x = 450. Akash's wages: 4(450) + 3(900) = 1800 + 2700 = 4500.

AI explanation

Let the daily wages for the first and second sites be x and y. From the simultaneous equations 2x + 5y = 5400 and 4x + 9y = 9900, we solve to find that x = 450 and y = 900. To find Akash's total wages for 4 days on the first site and 3 days on the second site, we calculate 4x + 3y. This gives 4(450) + 3(900), resulting in 1800 + 2700, which equals Rs. 4500.

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