How much money did Ram earn if ₹21 is 30% of the total amount?

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Understand the Problem

The question is asking us to determine how much money Ram earned if ₹21 represents 30% of his total earnings. We will solve this by creating a proportion based on percentages.

Answer

Ram's total earnings are ₹70.
Answer for screen readers

Ram's total earnings are ₹70.

Steps to Solve

  1. Set up the proportion We know that ₹21 is 30% of Ram's total earnings, which we will represent as $x$. We can express this as: $$ \frac{30}{100} = \frac{21}{x} $$

  2. Cross multiply To solve for $x$, we will cross-multiply: $$ 30x = 21 \times 100 $$

  3. Calculate the right side Now compute: $$ 21 \times 100 = 2100 $$ So we have: $$ 30x = 2100 $$

  4. Isolate $x$ To find $x$, divide both sides by 30: $$ x = \frac{2100}{30} $$

  5. Perform the division Now calculate: $$ x = 70 $$

Ram's total earnings are ₹70.

More Information

This means that if ₹21 represents 30% of his total earnings, then Ram's total earnings are ₹70. Understanding the relationship between percentages and total amounts is crucial in solving similar problems.

Tips

  • Forgetting to convert percentages: Some may forget that the percentage must be in decimal form when setting up the equation. Always ensure to correctly place the percentages as fractions.
  • Incorrect cross-multiplication: Be careful with the multiplication order; misplacing numbers can lead to wrong calculations.

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