Mr. Magani set an examination weighing a total of 96 marks. The following distributions were used: 20% of the marks were awarded for reading, 40% for writing, 15% for writing practical, and the remaining percentage for spelling. Find the marks that were awarded for spelling.

Question

GinnyAnswer · Answer

Calculate the percentage of marks for spelling: 100% − 20% − 40% − 15% = 25% . 
 Calculate the marks awarded for spelling: 96 × 0.25 = 24 . 
 The marks awarded for spelling are 24 ​ . 
 
 Explanation 
 
 Understanding the Problem We are given the total marks for an examination and the percentage distribution for reading, writing, and writing practical. We need to find the marks awarded for spelling. 
 
 Calculating Spelling Percentage First, we need to calculate the percentage of marks allocated for spelling. We know that the total percentage is 100%, and we have the percentages for reading (20%), writing (40%), and writing practical (15%). So, we subtract these from 100% to find the spelling percentage. 
 
 Spelling Percentage Calculation The percentage for spelling is calculated as follows: 100% − 20% − 40% − 15% = 25% So, 25% of the total marks were awarded for spelling. 
 
 Calculating Spelling Marks Now that we know the percentage for spelling, we can calculate the actual marks awarded for spelling. The total marks are 96, and the spelling percentage is 25%. To find the marks, we multiply the total marks by the spelling percentage (expressed as a decimal). 
 
 Spelling Marks Calculation The marks for spelling are calculated as follows: M a r k s = T o t a lM a r k s × Sp e ll in g P erce n t a g e M a r k s = 96 × 100 25 ​ M a r k s = 96 × 0.25 M a r k s = 24 Therefore, the marks awarded for spelling are 24. 
 
 Final Answer The marks awarded for spelling are 24.

Examples 
 Imagine you are planning a budget. You allocate 20% for rent, 40% for food, and 15% for transportation. If your total budget is $96, you can use the same method to calculate how much money is left for savings or entertainment. This problem demonstrates how to calculate remaining percentages and apply them to a total value, which is a useful skill in budgeting, resource allocation, and many other real-life situations.

Mr. Magani set an examination weighing a total of 96 marks. The following distributions were used: 20% of the marks were awarded for reading, 40% for writing, 15% for writing practical, and the remaining percentage for spelling. Find the marks that were awarded for spelling.

Answer (1)

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