Question

A shopkeeper buys two bicycles for rs. 750. he sells first bicycle at a profit of 22% and the second bicycle at a loss of 8%. what is the sp of first bicycle if in the whole transaction there is no profit no loss?

Answer 1

Hey mate.....
Here is your solution...

Solution: 
CP of 1st bicycle =x
Then CP of 2nd bicycle is 750-x.
Their SP be 122/100*x and 92/100*(750-x)
Given that there is no profit no loss.
122/100*x + 92/100*(750-x) =750
122x +750*92 -92x=750*100
122x – 92x=750*100 – 750*92
30x = 750 * (100-92)
X=200.
SP of 1st bicycle =122/100 *200=Rs244.


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Thanks

Answer 2

Answer:

The SP of the first bicycle if in the whole transaction there is no profit and no loss is Rs244.

Explanation:

• Let the CP of the first bicycle be x

• Then the CP of the second bicycle will be 750-x.

• Their combined SP will be 122/100*x and 92/100*(750-x)

It is given that there is no profit no loss. Therefore,

• 122/100*x + 92/100*(750-x) =750

             122x +750*92 -92x=750*100

            122x - 92x=750*100 - 750*92

            30x = 750 * (100-92)

            X=200.

Therefore, the SP of the first bicycle is 122/100 *200= Rs244.

Note:

(CP= Cost Price)

(SP= Selling Price)