Question

Cp=12000 ( cost price )
Loss% = 20%
Find the sp (selling price)​

Answer 1

$\bold{we\:have\:given\:that,}$

$\bold{Cost\:price\:(CP)=Rs.12000}$

$\bold{Loss\:percent = 20}$

$\bold{We\:have\:to\:find\:selling\:price\: (SP).}$

$\bold{Now,\:we\:know\:that,}$

$\large \pink{Loss\:percent=\frac{Loss}{Cost \:Prize}}$

$\blue{=>\:20=\frac{CP-SP}{CP}×100}$

$\blue{=>\:20=\frac{(CP-SP)×100}{CP}}$

$\blue{=>\:20\:×\:CP\:=\:100CP\:-\:100sp}$

$\blue{=>\:100sp\:=\:100CP\:-\:20CP}$

$\blue{=>\:SP\:\frac{80CP}{100}}$

$\blue{=>\:SP\:=\:\frac{80×12ØØØ}{1ØØ}}$

$\blue{=>\:SP\:=80\:×\:120}$

$\blue{=>\:SP\:=\:9600}$

$\bold{=>}$$\large \sf\fbox\red{Selling\:Price\:=\:Rs.9600}$

∴The selling price is Rs. 9600

Answer 2

ehavegiventhat,

\bold{Cost\:price\:(CP)=Rs.12000}Costprice(CP)=Rs.12000

\bold{Loss\:percent = 20}Losspercent=20

\bold{We\:have\:to\:find\:selling\:price\: (SP).}Wehavetofindsellingprice(SP).

\bold{Now,\:we\:know\:that,}Now,weknowthat,

\large \pink{Loss\:percent=\frac{Loss}{Cost \:Prize}}Losspercent=CostPrizeLoss

\blue{= > \:20=\frac{CP-SP}{CP}×100}=>20=CPCP−SP×100

\blue{= > \:20=\frac{(CP-SP)×100}{CP}}=>20=CP(CP−SP)×100

\blue{= > \:20\:×\:CP\:=\:100CP\:-\:100sp}=>20×CP=100CP−100sp

\blue{= > \:100sp\:=\:100CP\:-\:20CP}=>100sp=100CP−20CP

\blue{= > \:SP\:\frac{80CP}{100}}=>SP10080CP

\blue{= > \:SP\:=\:\frac{80×12ØØØ}{1ØØ}}=>SP=1ØØ80×12ØØØ

\blue{= > \:SP\:=80\:×\:120}=>SP=80×120

\blue{= > \:SP\:=\:9600}=>SP=9600

\bold{= > }=> \large \sf\fbox\red{Selling\:Price\:=\:Rs.9600}SellingPrice=Rs.9600

∴The selling price is Rs. 9600