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Girish scored 695 marks in an examination and was 17 marks short of 89% of the maximum marks. In the same examination, his friend scored 688 marks. What is the percentage of marks scored by his friend?
84%
83%
86%
87%
86%
Calculate total marks by adding the shortfall to the score (695 + 17 = 712), then divide by the percentage (712 / 0.89 = 800) to find the maximum marks, finally dividing the friend's score by the total marks.
Calculate total marks by adding the shortfall to the score (695 + 17 = 712), then divide by the percentage (712 / 0.89 = 800) to find the maximum marks, finally dividing the friend's score by the total marks.
Calculate Maximum Marks
Girish scored 695, which is 17 marks short of 89 percent. So, 89 percent of total marks = 695 + 17 = 712. Total marks = 712 / 0.89 = 800.
Calculate Friend's Percentage
The friend scored 688 marks out of 800. Percentage = (688 / 800) * 100 = 688 / 8 = 86 percent.
A: 84 percent corresponds to 672 marks, B: 83 percent corresponds to 664 marks, D: 87 percent corresponds to 696 marks.
C is correct because calculating the total marks as 800 based on Girish's score, the friend's score of 688 yields exactly 86 percent (688/800 * 10тБ░).
When dealing with 'short of' or 'excess of' percentage problems, always convert the statement into a direct equality equation first to find the base value (total marks) before calculating secondary scores.
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