Math, asked by shaktisd, 11 months ago

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.​

Answers

Answered by hancyamit2003
4

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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