Two labourers A and B together are paid a total of Rs. 1120 per day. If A is paid 180 percent of what is paid to B, that is, A's daily wage is 1.8 times B's wage, then how many rupees per day does B receive?

Introduction / Context:
This question is an application of ratio and percentage to daily wages. It asks you to interpret the statement that one worker earns 180 percent of the other's wage and then distribute the total amount accordingly.

Given Data / Assumptions:

• Total daily payment to A and B together = Rs. 1120
• A is paid 180 percent of B's wage
• So wage of A = 1.8 times wage of B
• We assume wages are non negative real numbers

Concept / Approach:
Let B's wage be x rupees. Then A's wage is 1.8x rupees. Their total is x + 1.8x = 2.8x which equals 1120. We solve this linear equation in x to find B's wage. This is a straightforward use of percentage as a multiplier.

Step-by-Step Solution:
Let B's daily wage be x rupees Then A's daily wage is 1.8x rupees Total wage per day = x + 1.8x = 2.8x Given that 2.8x = 1120 Solve for x: x = 1120 / 2.8 Compute 1120 / 2.8 = 11200 / 28 = 400 Therefore B's wage is Rs. 400 per day

Verification / Alternative check:
If B gets Rs. 400, then A gets 1.8 × 400 = Rs. 720. Together they receive 400 + 720 = Rs. 1120, which matches the given total. Also, A/B = 720/400 = 1.8 or 180 percent of B, confirming that the ratio matches the condition exactly.

Why Other Options Are Wrong:
If B were paid 720, A would be 1.8 × 720 = 1296 and the total would exceed 1120. For B = 500, A = 900 and total becomes 1400. For B = 620, A is even larger and again the sum is incorrect. 280 for B would give A = 504 and a total of only 784, which is too small.

Common Pitfalls:
Students sometimes treat 180 percent as 1.8 added to 1 rather than 1.8 as the full multiplier. Another frequent mistake is reversing the relationship and setting B as 1.8 times A. It helps to write the relationship in words first, then convert to an equation carefully.

Final Answer:
Thus, labourer B is paid Rs. 400 per day.