a shopkeeper purchases two articles for rs 14500 &rs 18000.He sells them at a loss of 15% and at a gain of 10% find selling price and also find gain%or loss%
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CP (cost price) of article 1 = Rs. 14500
Loss % = 15 %
If on CP Rs. 100, SP (selling price) = Rs. 85
On CP Rs. 14500, SP = (85/100)×14500 =
Rs. 12325
CP of article 2 = Rs. 18000
Gain % = 10 %
If on CP Rs. 100, SP = Rs. 110
On CP Rs. 18000, SP = (110/100)×18000 =
Rs. 19800
Total CP = Rs. 14500 + 18000 = Rs. 32500
Total SP = Rs. 12325 + Rs. 19800 = Rs. 32125
As CP is greater than SP, their is a loss of
Rs. 32500 - Rs. 32125 = Rs. 375
Loss % = (Loss/CP) × 100
= (375/32500) × 100
= 1.08%
Therefore, their is 1.08 % loss in this whole transaction.
Loss % = 15 %
If on CP Rs. 100, SP (selling price) = Rs. 85
On CP Rs. 14500, SP = (85/100)×14500 =
Rs. 12325
CP of article 2 = Rs. 18000
Gain % = 10 %
If on CP Rs. 100, SP = Rs. 110
On CP Rs. 18000, SP = (110/100)×18000 =
Rs. 19800
Total CP = Rs. 14500 + 18000 = Rs. 32500
Total SP = Rs. 12325 + Rs. 19800 = Rs. 32125
As CP is greater than SP, their is a loss of
Rs. 32500 - Rs. 32125 = Rs. 375
Loss % = (Loss/CP) × 100
= (375/32500) × 100
= 1.08%
Therefore, their is 1.08 % loss in this whole transaction.
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