How much money did Ram earn if ₹21 is 30% of the total amount?
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
-
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: $$ \frac{30}{100} = \frac{21}{x} $$
-
Cross multiply To solve for $x$, we will cross-multiply: $$ 30x = 21 \times 100 $$
-
Calculate the right side Now compute: $$ 21 \times 100 = 2100 $$ So we have: $$ 30x = 2100 $$
-
Isolate $x$ To find $x$, divide both sides by 30: $$ x = \frac{2100}{30} $$
-
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.
AI-generated content may contain errors. Please verify critical information