Subjects algebra

Cgpa Calculation

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Cgpa Calculation


1. Start by stating the problem: We need to find the CGPA for the given marks considering that 85/100 is equivalent to a GPA of 4.00. 2. Convert each mark to a GPA on a 4.00 scale. The formula to convert mark $m$ out of total $T$ to GPA is: $$ \text{GPA} = \frac{m}{T} \times \frac{4.00}{\frac{85}{100}} = \frac{m}{T} \times \frac{4.00}{0.85} = \frac{m}{T} \times 4.7059 $$ 3. Calculate the GPA for each mark: - For 60 out of 100: $$ 60/100 \times 4.7059 = 2.8235 $$ - For 32 out of 50: $$ 32/50 \times 4.7059 = 3.013 $$ - For 48 out of 50: $$ 48/50 \times 4.7059 = 4.525 $$ - For 70 out of 100: $$ 70/100 \times 4.7059 = 3.294 $$ - For 68 out of 100: $$ 68/100 \times 4.7059 = 3.200 $$ - For 74 out of 100: $$ 74/100 \times 4.7059 = 3.482 $$ 4. Find the average GPA (CGPA): $$ \text{CGPA} = \frac{2.8235 + 3.013 + 4.525 + 3.294 + 3.200 + 3.482}{6} = \frac{20.3375}{6} = 3.3896 $$ 5. Final answer: The CGPA for the mark sheet is approximately $3.39$ on a 4.00 scale.