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Calculate Cgpa

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Calculate Cgpa


1. **State the problem:** Calculate the CGPA (Cumulative Grade Point Average) for the given marks using the scale where 85 out of 100 corresponds to a GPA of 4.00. 2. **Understand the scale:** Since 85/100 = 4.00 GPA, the GPA per mark is calculated as: $$ \text{GPA per mark} = \frac{4.00}{85} \approx 0.04706 $$ 3. **Calculate GPA for each subject:** - For 60/100: $$ 60 \times 0.04706 = 2.8236 $$ - For 32/50: Convert to a scale of 100 first: $$ \frac{32}{50} \times 100 = 64 $$ Then GPA: $$ 64 \times 0.04706 = 3.01184 $$ - For 48/50: Convert to 100 scale: $$ \frac{48}{50} \times 100 = 96 $$ GPA: $$ 96 \times 0.04706 = 4.51416 $$ (GPA cannot exceed 4.00, so cap at 4.00) - For 70/100: $$ 70 \times 0.04706 = 3.2942 $$ - For 68/100: $$ 68 \times 0.04706 = 3.1998 $$ - For 74/100: $$ 74 \times 0.04706 = 3.4824 $$ 4. **Cap GPA at 4.00 where it exceeds:** For 48/50, GPA capped at 4.00. 5. **Calculate CGPA:** $$ \text{CGPA} = \frac{2.8236 + 3.01184 + 4.00 + 3.2942 + 3.1998 + 3.4824}{6} = \frac{19.81184}{6} \approx 3.30197 $$ 6. **Final Answer:** The CGPA for the given marks is approximately **3.30**.