Math Problem Statement
Ram loses 20% of his money. After spending 25% of the remainder, he has₹ 480 left. How much money did he originally have?
Solution
Let the original amount of money Ram had be .
Step 1: Loss of 20% of the money
When Ram loses 20%, he is left with 80% of his original money. So, after the loss, the remaining amount is:
Step 2: Spending 25% of the remainder
Ram then spends 25% of the remaining money. The remaining money after spending 25% is 75% of what he had after the 20% loss:
Step 3: Final Amount
We are told that after all this, Ram has ₹480 left. Therefore, we can set up the equation:
Step 4: Solving for
To find the original amount of money, divide both sides of the equation by 0.60:
So, Ram originally had ₹800.
Would you like a more detailed breakdown, or do you have any questions about this? Here are some related questions you might find useful:
- What happens if Ram spends 30% of the remaining money instead of 25%?
- How can we calculate the percentage of money lost if we only know the final amount?
- What are the effects of a 10% increase instead of a 20% decrease in the starting amount?
- How can this kind of problem be applied to real-life financial scenarios?
- How would the result change if the final amount was ₹600 instead of ₹480?
Tip: In problems like this, always break it into stages (percentage loss and then percentage expenditure) to make the math simpler.
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Math Problem Analysis
Mathematical Concepts
Percentage
Algebra
Equation Solving
Formulas
Remaining amount after percentage loss: (100% - loss%) × original amount
Remaining amount after percentage spending: (100% - spending%) × previous amount
Theorems
Basic percentage and proportion theorem
Suitable Grade Level
Grades 6-8
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