To solve the problem of determining how much money Pooja, Chameli, and Anju have in their purses, let's denote the amount Chameli has as x.
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Pooja has ₹50 more than Chameli, so the amount Pooja has can be expressed as x + 50.
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Anju has two times what Pooja has, so Anju's amount is 2(x + 50).
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The total amount of money they all have is ₹450. Therefore, we can set up the equation:
x + (x + 50) + 2(x + 50) = 450
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Expanding and simplifying the equation, we get:
x + x + 50 + 2x + 100 = 450
4x + 150 = 450
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Subtract 150 from both sides:
4x = 300
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Divide both sides by 4:
x = 75
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Now, we can find out how much each person has:
- Chameli has x = 75 rupees.
- Pooja has x + 50 = 75 + 50 = 125 rupees.
- Anju has 2(x + 50) = 2 \times 125 = 250 rupees.
Thus, Pooja, Chameli, and Anju have ₹125, ₹75, and ₹250, respectively. The correct answer is ₹125, ₹75 and ₹250.
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