Question

instead of a meter scale a cloth merchant uses 120 cm scale while buying but uses 80 cm scale while selling same cloth if he is given discount of 16 2/3 percent on cash payment find the profit percentage​

Answer 1

${\underline{\underline{\bf{GivEn:-}}}}$

• Instead of a meter scale a cloth merchant uses 120 cm scale while buying but uses 80 cm scale while selling same cloth if he is given discount of 16 2/3 percent on cash payment.

${\underline{\underline{\bf{To\;find:-}}}}$

• The Profit percentage.

${\underline{\underline{\bf{SoluTion:-}}}}$

Lets cost price for a meter = Rs. 120

He is offering 20% discount for customer.

So,

☯ 20% of 120 = 24

$:\implies$ 120 - 24 = 96.

Therefore, Selling Price = 96

Here, He had given 80 cm of cloth instead of 100 cm using a faulty scale.

So, the actual product he is selling is costing him Rs. 80

(Rs. 120 for 120 cms)

☯ So, cost price = 80

Now, we find profit,

$\dag\;{\underline{\boxed{\bf{\blue{Profit = SP - CP}}}}}$

$:\implies$ 96 - 80

$:\implies$ 16

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As we know that,

Profit % is always calculated on cost price.

$\dag\;{\underline{\boxed{\bf{\red{ \dfrac{Profit}{CP} \times 100}}}}}$

$:\implies\sf \cancel{ \dfrac{16}{80}} \times \cancel{100}$

$:\implies\sf 20 \%$

☯ Thus, the merchant's overall profit % is 20%

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$\begin{lgathered}\boxed{\begin{minipage}{7 cm}\boxed{\underline{\underline{\bigstar\:\bf\:Extra\:Brainly\:knowlegde\:\bigstar}}}\\\\1) Profit = SP - CP\\\\2) Loss = CP - SP\\\\3) Profit\% = (Profit in Rs.)*100/CP\\\\4) Loss\% = (Loss in Rs.)*100/CP\\\\5) SP = CP*(100+P\%)/100\\\\6) SP = CP*(100-L\%)/100\\\\7) CP = SP*100/(100+P\%)\\\\8) CP = SP*100/(100-L\%)\\\\9) Discount =MP - SP\\\\10) Discount\%=(Discount in Rs.)*100/MP\\\\11) SP = MP*(100-D\%)/100\\\\12) MP = SP*100/(100-D\%)\\\\\end{minipage}}\end{lgathered}$