Two labourers A and B together earn Rs 750 per day. If A is paid 150 percent of the daily wage paid to B, how much is B paid per day in rupees?

Introduction / Context:
This problem tests basic proportional reasoning in sharing wages between two workers with a known ratio of payment. Rather than work and time, the focus is on money distribution based on a given percentage relationship between two wages and the total daily payment.

Given Data / Assumptions:

• Total combined daily wage of A and B is Rs 750.
• A is paid 150 percent of what B is paid.
• We assume the wage relationship is fixed and applies every day.
• We need to find the exact daily wage of B in rupees.

Concept / Approach:
When one amount is a given percentage of another, we can express this relationship using a simple algebraic equation. If the wage of B is taken as a variable, then the wage of A is expressed in terms of that variable using the percentage relation. The sum of these two gives the known total wage, and solving the equation yields the wage of B. This is a direct application of ratios and percentages.

Step-by-Step Solution:
Step 1: Let the daily wage of B be x rupees.Step 2: A is paid 150 percent of B. One hundred fifty percent is equal to 150 / 100 = 3 / 2 times. So wage of A = (3 / 2) * x.Step 3: Total wage of A and B together is given as Rs 750.Step 4: Set up the equation: x + (3 / 2) * x = 750.Step 5: Combine like terms: x + 1.5x = 2.5x. So 2.5x = 750.Step 6: Solve for x: x = 750 / 2.5.Step 7: Compute 750 / 2.5. Multiply numerator and denominator by 10 to remove the decimal: (750 * 10) / (2.5 * 10) = 7500 / 25 = 300.Step 8: Therefore, B is paid Rs 300 per day.

Verification / Alternative check:
Using B = Rs 300, A is paid 150 percent of 300. That is (3 / 2) * 300 = 450. Summing A's and B's wages gives 450 + 300 = 750, which matches the total daily wage given in the question. This confirms that the computed value for B's wage is correct.

Why Other Options Are Wrong:

• Rs 450: This would be the wage of A, not B, since A is the one paid more.
• Rs 250: If B were paid 250, then A would get 375, and total wage would be only 625, which is less than 750.
• Rs 500: If B were paid 500, then A would get 750, and the total would be 1250, which is greater than 750 and inconsistent with the given data.

Common Pitfalls:
Candidates sometimes misinterpret 150 percent as 1.5 percent or forget to convert the percentage into a multiplier. Another error is to mix up who is getting more money, incorrectly assuming B is paid 150 percent of A. Keeping track of which worker receives the higher wage is crucial for setting up the correct equation.

Final Answer:
B is paid Rs 300 per day.