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Rahul's Mathe...

Question

Rahul's Mathematics test had $75$ % problems, $10$ arithmetic, $30$ algebra, $35$ geometry problems. Although he answered $70 %$ of arithmetic, $40 %$ of arithmetic and $60 %$ of geometry problems correctly, still he got less than $60 %$ problems right. How many more questions he would have to answer more to get passed

A

5

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B

6

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C

7

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D

8

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Solution

The correct option is A $5$
Number of questions attempted correctly $= (\begin{matrix} 70 % o f 10 + 40 % o f 30 + 60 % o f 35 \end{matrix})$
$= 7 + 12 + 21 = 40$ .
Questions to be answered correctly for $60 % = 60 %$ of total questions
$= 60 %$ of $75 = 45$ .
He would have to answer $45 - 40 = 5$ .

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