A sold a toy to B at a profit of 15% . Later on B sold it back to A profit of 20%. There by gaining RS 552. How much did A pay for the toy originally?
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Answer:
Let the CP for A be ₹x.
Profit % = 15%
SP for A = (1 + 15/100) × CP
= 115/100 × ₹x
= ₹23x /20
SP for A = CP for B
Therefore, CP for B = ₹23x/20
Profit% = 20%
SP for B = ( 1 + 20/100) × CP
= 120/100 × ₹x
= ₹6x/5
Profit for B = SP - CP
= ₹6x/5 - ₹23x/20
= ₹x/20
Acc. to the question -
=> ₹x/20 = ₹69
=> ₹x = ₹69 * 20
=> ₹x = ₹1380
Money paid by A to B = ₹6x/5
= ₹ 6 × 1380 /5
= ₹1656
Ans.= A paid ₹1656 for it.
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