Question

A and b took a job of rs 7200..A alone finishbin 12 day b alone in 16 days.. with the helpof c they cmplte in 6 day.. share of c

Answer 1

$\sf\large\underline{Given:}$

• A alone finished work in 12 days
• B alone finish work in 16 days
• C alone finish work in x days
• Total shares=Rs.7200
• A+B+C finished work in 6 days

$\sf\large\underline{To\:Find:}$

• C's share=?

$\sf\large\underline{Solution:}$

• Let, A's one day work=1/12
• B's one day work=1/16
• C's one day work=1/x

$\sf\large\underline{A+B+C=1/6\:days:}$

$\rm{\implies \frac{1}{12}+\frac{1}{16}+\frac{1}{x}=\frac{1}{6}}$

$\rm{\implies \frac{4+3}{48}+\frac{1}{x}=\frac{1}{6}}$

$\rm{\implies \frac{7}{48}+\frac{1}{x}=\frac{1}{6}}$

$\rm{\implies \frac{1}{x}=\frac{1}{6}-\frac{7}{48}}$

$\rm{\implies \frac{1}{x}=\frac{8-7}{48}}$

$\rm{\implies \frac{1}{x}=\frac{1}{48}}$

$\rm{\implies x=48}$

$\sf\large{Hence,}$

$\rm{\implies Each\: share\:get=\frac{work\:done\:by\:them}{work\:done\:by\:each}\times\:Total\: amount}$

$\rm{\implies A's\:share=\dfrac{6}{12}\times\:7200}$

$\bf{\implies A's\:share=Rs.3600}$

$\rm{\implies B's\:share=\dfrac{6}{16}\times\:7200}$

$\bf{\implies B's\:share=Rs.2700}$

$\rm{\implies C's\:share=\dfrac{6}{48}\times\:7200}$

$\bf{\implies C's\:share=Rs.900}$

$\rm{\underbrace{Answer-C's\: share=Rs.900}}$

Answer 2

$\sf\large{\underline{\purple{\underline{Question:}}}}$

A and b took a job of rs 7200..A alone finishbin 12 day b alone in 16 days.. with the helpof c they cmplte in 6 day.. share of c.

$\sf\large{\underline{\pink{\underline{Given-:}}}}$

A alone finished work in 12 days

B alone finish work in 16 days

C alone finish work in x days

Total shares=Rs.7200

A+B+C finished work in 6 days

$\sf\large {\underline{\blue{\underline{To\:Find:} }}}$

C's share=?

$\sf\large{\underline{\purple{\underline{Solution:}}}}$

Let, A's one day work=1/12

B's one day work=1/16

C's one day work=1/x

$\sf\large{\underline{\pink{\underline{According\:To\:Question:} }}}$

$\sf→ {\fbox{\red{\underline{A+B+C=\frac{1}{6}}}}}$

$\sf→ \frac{1}{12}+\frac{1}{16}+\frac{1}{x}=\frac{1}{6}\\\sf→ \frac{7}{48}+\frac{1}{x}=\frac{1}{6}$

$\sf→ \frac{1}{x}=\frac{8-7}{48}$

$\sf→\large\frac{1}{x}=\frac{1}{48}\\\sf→{\fbox{\underline{\green{\underline{ x=48}}}}}$

$\sf\large{\underline{\blue{\underline{Therefore:} }}}$

$\sf→ A's share =\frac{6}{12}×7200= 3600\\B's share =\frac{6}{16}×7200= 2700\\C's share = \frac{6}{48}×7200= 900$