Question

a shopkeeper sells a refrigerator for rupees 120 and earns profit of 20% he sells a t.v set for the same price and loses 20 find c . p of t.v set​

Answer 1

4% loss and CP is Rs. 125

GiVen:-

• Loss = 20%
• Profit = 20%

AnSwer:

In these type of questions mainly their will be loss of the shopkeepers.

So,

$\\ {\longmapsto {\sf { \red{\: Loss\% = \dfrac{Loss\% + profit\%}{100} }}}} \\ \\ \longmapsto \sf \:Loss = \frac{20 + 20}{100} \\ \\ \longmapsto \sf \:Loss = \frac{40}{100} \\ \\ \longmapsto \sf \:Loss =4\%$

Here shopkeeper loses by 4%.

Here,

• SP = 120

$\implies\sf \: CP = \dfrac{SP \times 100}{100 - loss \: \%} \\ \\ \implies\sf \: CP = \frac{120 \times 100}{100 - 4} \\ \\ \implies\sf \: CP = \frac{12000}{96} \\ \\ \implies { \boxed{ \red{\therefore{\sf {\: CP =125}}}}}$

Answer 2

$\sf{\huge{\mathfrak{\underline{\boxed{\purple{Correct\: Question}}}}}}$

• a shopkeeper sells a refrigerator for 1200 and earns a profit of 20% He sells a TV set for the same price and loses 20% Find. gain or lose per cent on the whole transaction

$\sf{\huge{\mathfrak{\underline{\boxed{\purple{Solution}}}}}}$

$\sf{\bold{\green{\underline{\underline{First\:case}}}}}$

S.P. of refrigerator = Rs.1200

profit % = 20%

cp = ???

$\sf{\bold{\red{\boxed{c.p. = \dfrac{sp}{100 + profit} \times 100}}}}$

$\sf C.P. = \dfrac{1200}{100 + 20 }\times 100$

$\sf C.P. = \dfrac{\cancel{1200}}{\cancel{120 }}\times 100$

$\sf C.P. = 10 \times 100$

$\sf C.P. = Rs.1000$

$\sf{\bold{\blue{\underline{\underline{1st.CP = Rs.1000}}}}}$

$\sf{\bold{\green{\underline{\underline{Second\:case}}}}}$

S.P. of refrigerator = Rs.1200

loss % = 20%

cp = ???

$\sf{\bold{\red{\boxed{c.p. = \dfrac{sp}{100 - loss} \times 100}}}}$

$\sf C.P. = \dfrac{1200}{100 - 20 }\times 100$

$\sf C.P. = \dfrac{\cancel{1200}}{\cancel{80 }}\times 100$

$\sf C.P. = 15 \times 100$

$\sf C.P. = Rs.1500$

$\sf{\bold{\green{\underline{\underline{2nd.CP = Rs.1500}}}}}$

___________________

Total C.P. = 1500 + 1000

Total C.P. = Rs. 2500

Total S.P = 1200 + 1200

Total S.P. = Rs.2400

As ;

total C.P. > total S.P.

therefore :-

loss = CP - SP

loss = 2500 - 2400

loss = Rs.100

$\sf{\bold{\red{\boxed{loss\% = \dfrac{loss}{CP}\times 100}}}}$

$\sf loss\% = \dfrac{\cancel{100}}{25\cancel{00}} \times 100$

$\sf loss\% = \dfrac{\cancel{100}}{\cancel{25}}$

$\sf loss\% = 4\%$

$\sf{\bold{\orange{\boxed{\dag loss\% = 4\% }}}}$

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