Question

. The wages of laborers in a factory has increased in
the ratio 22: 25 and their number is decreased in the
ratio 3: 2. What was the original wage bill of the
factory if the present bill is 5000?​

Answer 1

${\huge{\sf{\underline{\red{Given :}}}}}$

The wages of laborers in a factory has increased in the ratio 22: 25 and their number is decreased in the ratio 3: 2.

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${\huge{\sf{\underline{\green{To Find:}}}}}$

What was the original wage bill of the factory if the present bill is 5000?

￣￣￣￣￣￣￣￣￣￣￣￣

${\huge{\sf{\underline{\orange{Solution :}}}}}$

${\sf{\blue{Ratio \: of \: increases \: in \: wage = 22 : 25}}}$

${\sf{\blue{Ratio \: of \: decrease \: in \: labours = 15:11}}}$

${\sf{\blue{Present \: bill \: amount = 5,000}}}$

${\sf{\blue{compound \: ratio \: of \: wages \: of \: labourers = 22 \times 15:25 \times 11}}}$

${\sf{\blue{= 330 : 275}}}$

Than,

${\sf{\green{At \: the \: ratio \: of \: 275 \: will \: be = Rs. 5,000}}}$

${\sf{\green{For \: ratio \: of \: 1 \: the \: wages \: will \: be = 5,000 /275 }}}$

${\sf{\green{For \: ratio \: of \: 330 \: the \: wages \: will \: be = 5,000/275 \times 330 = Rs 6,000}}}</p><p></p><p>$

So,

The new wage is Rs 6,000.