If 5% of sales price exceeds 4% of cost price by 1 and 9% of sales price plus 8% of
cost price amounts to 55, find the profit or loss percentage on sale.
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Answer:
Step-by-step explanation:
5%SP=4%CP+1.....(1)
9%SP+8%CP=55...(2)
From(1), (5/100)SP=(4/100)CP+1
Or,5SP/100=(4CP+100)/100
OR, 5SP=4CP+100
OR, SP=(4CP+100)/5......(3)
From (2),
(9/100)SP+(8/100)CP=55
OR, 9SP+8CP=55×100
OR, SP=(5500-8CP)/9......(4)
NOW,
(4CP+100)/5=(5500-8CP)/9
OR, 9(4CP+100)=5(5500-8CP)
Or,36CP+900=27500-40CP
Or, 76CP=27500-900=26600
Or, CP=(26600/76)=350
Now, SP=(5500-8×350)/9
=(5500-2800)/9=2700/9=300.
As CP>SP, therefore there is loss.
Loss%=(50/300)×100%
1/6 ×100%=16.666%
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