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A sold a toy to B at a profit of 15%. Later on, B sold it back to A at a profit of 20%, thereby gaining Rs. 552. How much did A pay for the toy originally?

ARs.2400

BRs.2560

CRs.2760

DRs.2800

Answer:

A. Rs.2400

Read Explanation:

Let us take A $CP=100x$

A Sold it to B at 15% profit

CPofB=115xCP of B = 115x

BsolditbacktoAattheprofitof20B sold it back to A at the profit of 20%</p><p style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px" data-pxy="true">$SP of B=115x\times{\frac{120}{100}}$</p><p style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px" data-pxy="true">$SP of B=138x$</p><p style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px" data-pxy="true">Gaining of B=SP(B)-CP(B)

=138x115x=138x-115x

=23x=23x

$$Given profit of B is 552$

$23x=552$

$x=24$

$Cp of A=100x=2400$


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