If a student scores 90 marks which is 75% of the total marks, what are the total

If a student scores 90 marks which is 75% of the total marks, what are the total marks?

If a student scores 90 marks which is 75% of the total marks, what are the total marks?

Correct Answer: 120

Step 1: Understand that 90 marks is 75% of the total marks.
Step 2: To find the total marks, we can set up the equation: 90 = 75% of total marks.
Step 3: Convert 75% to a fraction: 75% = 75/100.
Step 4: Rewrite the equation: 90 = (75/100) * total marks.
Step 5: To isolate total marks, divide both sides by (75/100): total marks = 90 / (75/100).
Step 6: Dividing by a fraction is the same as multiplying by its reciprocal: total marks = 90 * (100/75).
Step 7: Calculate 90 * (100/75): total marks = 90 * 1.3333 (which is 100/75).
Step 8: The result is total marks = 120.

Percentage Calculation – Understanding how to convert a percentage into a fraction to find the total value.
Proportions – Using the relationship between part and whole to solve for unknown total values.