Question : A scored 72% in a paper with a maximum marks of 900 and 80% in another paper with a maximum marks of 700. If the result is based on the combined percentage of two papers, the combined percentage is:
Option 1: 75.5%
Option 2: 76%
Option 3: 76.5%
Option 4: 77%
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Correct Answer: 75.5%
Solution :
Given: A scored 72% on a paper with a maximum marks of 900.
Marks scored by A is $(900×\frac{72}{100}) = 648$
Also, A scored 80% on a paper with a maximum marks of 700.
Marks scored by A is $(700×\frac{80}{100})=560$
So, total marks scored by A = (648 + 560) = 1208
The total maximum marks of the two papers = (900 + 700) = 1600
Therefore, the combined percentage is $(\frac{1208}{1600}×100)$% = 75.5%
Hence, the correct answer is 75.5%.
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