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Kiran scored $80$ marks in his science test which is $\frac{5}{6}$ of the total marks. What are the total marks for the test?

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96

100

104

108

answer is A.

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Detailed Solution

Given, Kiran scored

80

marks in his science test which is

\frac{5}{6}

of total marks.
Let

x

be the total marks.
Then

\frac{5}{6}

of total marks scored by Kiran in science

= \frac{5}{6} \times x = \frac{5 x}{6}

.
But Kiran scored

80

marks

∴ \frac{5 x}{6} = 80

Multiplying by

6

on both the sides, we get,

\frac{5 x}{6} \times 6 = 80 \times 6

⇒

5 x = 480

Dividing by

5

on both sides, we get,

\frac{5 x}{5} = \frac{480}{5}

\Rightarrow x = 96

Thus, the total marks are

96

.
Hence, the correct option is 1.

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