Question

a labour get 675 rupees for nine days work . how many days should he work to get 900 ruppes
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Answer 1

$\mathfrak{\large{\underline{\underline{\red{Answer :-}}}}}$

In 12 days work, the labour would be paid with Rs.900.

$\mathfrak{\large{\underline{\underline{\red{Explanation :-}}}}}$

$\textsf{\underline{\underline{Given :}}}$

Labour gets Rs.675 for 9 days.

$\textsf{\underline{\underline{To find :}}}$

In how many days the labour would be paid Rs.900.

$\textsf{\underline{\underline{Solution : }}}$

Consider the number of days the labour would be paid Rs.900 as x

$\textbf{Method I}$

By Proportion :

675 : 9 : : 900 : x

$\boxed{\sf{Mean \times Mean\:Terms = Extreme \times Extreme \:Terms}}$

Mean Terms = 9 and 900

Extreme Terms = 675 and x

$\sf{\implies} \: {\: 9 \times 900 = 675 \times x} \\ \sf{\implies} \: 8100 = 675x \\ \sf{\implies} \: 675x = 8100 \\ \sf{\implies} \: x = \frac{8100}{675} \\ \sf{\implies} \: x = 12$

x = 12

$\therefore$ In 12 days work, the labour would be paid with Rs.900.

$\textbf{Method II }$

By Unitary Method :

Find the money paid on a single day.

$\implies$ 675 ÷ 9

$\implies$ 75

Rs.75 is paid each day.

Divide 900 by 75 to get the number of days in Rs. 900 would be paid.

$\implies$ 900 ÷ 75

$\implies$ 12

$\therefore$ In 12 days work, the labour would be paid with Rs.900.

Answer 2

The answer is 12

As

Amount for 9 days =675Rs

Amount for 1 day =675÷9

=75

Days he should work to get 900 =900÷75

=12