If A and B together earn Rs. 900 in an hour and A's share is half of B's share, then B's share is?

Question image

Understand the Problem

The question is asking to determine B's share of earnings given that A and B together earn Rs. 900 and that A's share is half of B's share. It requires understanding of ratios and basic arithmetic to solve it.

Answer

B's share is $600$.
Answer for screen readers

B's share is $600$.

Steps to Solve

  1. Define Variables

Let B's share be denoted as $B$. According to the problem, A's share is half of B's share, so we can denote A's share as $A = \frac{1}{2}B$.

  1. Set Up the Equation

Since A and B together earn Rs. 900, we can set up the equation:

$$ A + B = 900 $$

Substituting for $A$:

$$ \frac{1}{2}B + B = 900 $$

  1. Combine Terms

Combine the terms on the left side of the equation:

$$ \frac{1}{2}B + \frac{2}{2}B = 900 $$

This simplifies to:

$$ \frac{3}{2}B = 900 $$

  1. Solve for B

To solve for $B$, multiply both sides by $\frac{2}{3}$:

$$ B = 900 \times \frac{2}{3} $$

Calculating this gives:

$$ B = 600 $$

  1. Conclusion

Thus, B's share is Rs. 600.

B's share is $600$.

More Information

In this problem, we utilized the concepts of ratios and basic algebra to find the shares of A and B in the total earnings. Understanding how to express relationships with variables is critical in problem-solving.

Tips

  • Failing to correctly set up the equation based on the relationship between A and B can lead to incorrect answers.
  • Miscalculating the total or individual shares when solving can occur if the fractions are not managed properly.
Thank you for voting!
Use Quizgecko on...
Browser
Browser