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UPTET Paper 2 Math and Science Model Test 2

Section: Mathematics and Science

Question : 139 of 150

Marks: +1, -0

150% of 15 + 75% of 75 = ?

Solution:

Concept:

Percent means per hundred. Convert percentages into fractions and then calculate.

Explanation:

Step 1: Write 150% of 15 as

\frac{150}{100} \times 15

and 75% of 75 as

\frac{75}{100} \times 75

Step 2: Simplify:

\frac{150}{100} = \frac{3}{2}

, so

\frac{3}{2} \times 15 = \frac{45}{2}

Step 3: Similarly,

\frac{75}{100} = \frac{3}{4}

, so

\frac{3}{4} \times 75 = \frac{225}{4}

Step 4: Add the fractions:

\frac{45}{2} + \frac{225}{4} = \frac{90}{4} + \frac{225}{4} = \frac{315}{4}

Step 5: Divide:

315 \div 4 = 78.75

Answer:

B. 78.75

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