Question

A shopkeeper bought two tv sets for Rs. 10,000 each. he sold one at a profit of 8% and other at a loss of 10% . find the overall loss or profit. i want step by step answer please​

Answer 1

Step-by-step explanation:

Cost Price of tv = 10000

$\:$

Profit% = 8%

$\:$

$\large \rm \: s.p = \dfrac{100 + p}{100} \times c.p$

$\:$

$\large\rm s.p = \dfrac{100 + 8}{100} \times 10000$

$\:$

$\large\rm s.p = \dfrac{108}{100} \times 10000$

$\:$

$\large\rm s.p = \dfrac{108}{ \cancel{100}} \times 100 \cancel{00}$

$\:$

$\large : \implies \: \rm s.p = 108 \times 100$

$\:$

$\large \therefore\: \rm s.p =10800$

$\:$

Loss = 10%

$\:$

$\large \rm \: s.p = \dfrac{100 - l}{100} \times c.p$

$\:$

$\large \rm \: s.p = \dfrac{100 - 10}{100} \times 10000$

$\:$

$\large \rm \: s.p = \dfrac{90}{100} \times 10000$

$\:$

$\large\rm s.p = \dfrac{90}{ \cancel{100}} \times 100 \cancel{00}$

$\:$

$\large : \implies \: \rm s.p = 90 \times 100$

$\:$

$\large \therefore\: \rm s.p =9000$

$\:$

Total C.P = 10000+ 10000 = rs. 20000

$\:$

Total S.P = 10800 + 9000 = rs. 19800

$\:$

Loss = C.P - S.P

$\:$

⇒ Loss = 20000 - 19800

$\:$

⇒ Loss = rs. 200

$\:$

$\large \rm{loss\% = \dfrac{loss \times 100}{c.p} }$

$\:$

$\large \: \: : ⇒ \: \rm{loss\% = \dfrac{200 \times 100}{20000} }$

$\:$

$\large \: \: : ⇒ \: \rm{loss\% = \dfrac{200 00}{20000} }$

$\:$

$\large \: \: : ⇒ \: \rm{loss\% = \dfrac{ \cancel{200 00} \: \: 1}{ \cancel{20000}} }$

$\:$

Loss% = 1%

Answer 2

Step-by-step explanation:

Cost Price of tv = 10000

$\:$

Profit% = 8%

$\:$

$\large \rm \: s.p = \dfrac{100 + p}{100} \times c.p$

$\:$

$\large\rm s.p = \dfrac{100 + 8}{100} \times 10000$

$\:$

$\large\rm s.p = \dfrac{108}{100} \times 10000$

$\:$

$\large\rm s.p = \dfrac{108}{ \cancel{100}} \times 100 \cancel{00}$

$\:$

$\large : \implies \: \rm s.p = 108 \times 100$

$\:$

$\large \therefore\: \rm s.p =10800$

$\:$

Loss = 10%

$\:$

$\large \rm \: s.p = \dfrac{100 - l}{100} \times c.p$

$\:$

$\large \rm \: s.p = \dfrac{100 - 10}{100} \times 10000$

$\:$

$\large \rm \: s.p = \dfrac{90}{100} \times 10000$

$\:$

$\large\rm s.p = \dfrac{90}{ \cancel{100}} \times 100 \cancel{00}$

$\:$

$\large : \implies \: \rm s.p = 90 \times 100$

$\:$

$\large \therefore\: \rm s.p =9000$

$\:$

Total C.P = 10000+ 10000 = rs. 20000

$\:$

Total S.P = 10800 + 9000 = rs. 19800

$\:$

Loss = C.P - S.P

$\:$

⇒ Loss = 20000 - 19800

$\:$

⇒ Loss = rs. 200

$\:$

$\large \rm{loss\% = \dfrac{loss \times 100}{c.p} }$

$\:$

$\large \: \: : ⇒ \: \rm{loss\% = \dfrac{200 \times 100}{20000} }$

$\:$

$\large \: \: : ⇒ \: \rm{loss\% = \dfrac{200 00}{20000} }$

$\:$

$\large \: \: : ⇒ \: \rm{loss\% = \dfrac{ \cancel{200 00} \: \: 1}{ \cancel{20000}} }$

$\:$

Loss% = 1%