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If the weight of 9 sheets of thick paper is 30 g, how many sheets of the same paper would weigh $1 \frac{1}{4}$ kg?

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375

275

300

400

answer is A.

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Detailed Solution

Given the weight of 9 sheets of thick paper 30 g.
We need to find a number of sheets of the same paper which would weigh

1 \frac{1}{4}

kg.
We know that,1 kg = 1000 g.
Convert

1 \frac{1}{4}

kg into g using the fact that 1 kg = 1000 g.

1 \frac{1}{4} kg = 1000 \times 1 \frac{1}{4} g

1 \frac{1}{4} kg = 1000 \times \frac{5}{4} g

1 \frac{1}{4} kg = 250 \times 5 g

1 \frac{1}{4} kg = 1250 g

Assume that

s

sheets weight is 1250 g.

\frac{weight}{number of sheets} = constant

Equate the ratio of 9 sheets and 30 g with ratio of s sheets and 1250 g to solve for s.

\frac{s}{1250} = \frac{9}{30}

\Rightarrow s = 1250 \times \frac{9}{30}

\Rightarrow s = 3 \times 125

\Rightarrow s = 375

Therefore, 375 are the required number of sheets.
Hence, the correct option is 1.

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