Question

A shopkeeper sold two pairs of jeans for 720 each gaining 20 percentage on one and losing 20 percentage on the other. Find his gain or loss percentage

Answer 1

Given :-

• Selling price (S.P) of one jeans = 720 Rs.

• Gain of one jeans = 20%

• Loss of one jeans =20%

To Find :-

• Gain or Loss percentage.

Solution :-

Cost price of the jeans,

Gain = 20%

$:\implies\:\sf{(\dfrac{100}{100} + profit \%) \times SP}$

$:\implies\:\sf{(\dfrac{100}{100} +20)\times720}$

$:\implies\:\sf{\dfrac{100}{120} \times 720}$

$:\implies\:\sf{600}\:\:\star$

Now ,

Loss = 20%

$:\implies\:\sf{(\dfrac{100}{100} - profit \%) \times SP}$

$:\implies\:\sf{(\dfrac{100}{100} -20)\times720}$

$:\implies\:\sf{\dfrac{100}{80} \times720}$

$:\implies\:\sf{900}\:\:\star$

➺ Total CP = 600+900 = 1500

➺ Total SP = 720+720 = 1440

∴  CP > SP , So it is a loss

Therefore,

$:\implies\:\sf{Loss=CP-SP}$

$:\implies\:\sf{Loss=1500-1400}$

$:\implies\:\sf{Loss=60}\:\:\star$

Now,

$:\implies\:\sf{Loss\%=\dfrac{Loss}{CP} \times 100}$

$:\implies\:\sf{Loss\%=\dfrac{60}{1500} \times 100}$

$\sf:\implies \underline{\boxed{\pink{\mathfrak{Loss\% = 4\%}}}}\:\:\bigstar$