A sold a watch to B at 20% gain, and B sold it to C at a loss of 10%. If C bought the watch for Rs.216, at what price did A purchase it ?

Rs.100

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Rs.150

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Rs.200

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Rs.250

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Solution

The correct option is C Rs.200
Let the C.P. of A = Rs. x
Gain = 20%
$∴$ S.P. of A $= \frac{120}{100} \times R s . x = R s . \frac{120 x}{100}$
$C . P . o f B = R s . \frac{120 x}{100}$
Loss $= 10 %$
$∴ S . P . o f B = \frac{90}{100} \times \frac{120 x}{100} = R s . \frac{27 x}{25} \Rightarrow C . P . o f C = \frac{27 x}{25}$
Given $\frac{27 x}{25} = 216 \Rightarrow x = R s .200$

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A sold a watch to B at 20% gain, and B sold it to C at a loss of 10%. If C bought the watch for Rs.216, at what price did A purchase it ?

The correct option is C Rs.200Let the C.P. of A = Rs. x Gain = 20% ∴ S.P. of A =120100×Rs.x=Rs.120x100C.P.ofB=Rs.120x100Loss=10%∴S.P.ofB=90100×120x100=Rs.27x25⇒C.P.ofC=27x25Given 27x25=216⇒x=Rs.200