A shopkeeper sold two almirahs for Rs 1500 each. on one he gained 20% profit and on the other he lost 20% find the loss or gain percent in the whole transaction.
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Answered by
71
Selling price of each Almirah is rs 500
for Ist Almirah
Sp = rs1500
gain = 20%
Cp=(100/100+gain% × sp)
=100/100+20 × 1500
= 100/120 × 1500
=rs1250
for second almirah
Sp = rs1500 ,Loss= 20%
Cp=(100/100-Loss% × Sp)
=100/100-20 × 1500
= 100/80 × 1500
=rs 1875
total Sp =rs (1500+1500)=rs3000
total Cp=rs(1250+1875)=rs3125
Cp>Sp i.e there is loss
Loss =rs(3125-3000)=rs125
Loss% =(loss/Cp × 100)%
=(125/3125 × 100)%
=(1 / 25 × 100 ) % = 4 %
for Ist Almirah
Sp = rs1500
gain = 20%
Cp=(100/100+gain% × sp)
=100/100+20 × 1500
= 100/120 × 1500
=rs1250
for second almirah
Sp = rs1500 ,Loss= 20%
Cp=(100/100-Loss% × Sp)
=100/100-20 × 1500
= 100/80 × 1500
=rs 1875
total Sp =rs (1500+1500)=rs3000
total Cp=rs(1250+1875)=rs3125
Cp>Sp i.e there is loss
Loss =rs(3125-3000)=rs125
Loss% =(loss/Cp × 100)%
=(125/3125 × 100)%
=(1 / 25 × 100 ) % = 4 %
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