A Shopkeeper buys two bicycles for Rs 750 He sells first bicycle at a profit of 22 and the second bi...........

Quantitative Aptitude ( CCS) Profit and loss

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?

Rs506

Rs244

Rs185

Rs230

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Explanation:

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.

Hence, option 2 is the correct answer.