Ram Baral sold a pen to Kamala at 25% profit. Kamala sold the pen to Roshan at 10% loss. If Roshan paid rs 72 to Kamala, how much did Ram pay to buy the pen?
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Let the C.P. of pen at which Ram bought the pen from Kamala be Rs. x.
Ram sold the pen at 25% profit to Kamala.
Thus, S.P. of Ram = C.P. of Kamala
= C.P.{(100+profit%)}/100
= Rs. {(100+25)(x/100)}
=Rs. 125x/100
Kamala sold the pen to Roshan at 10% profit.
Thus, S.P. of Kamala = C.P. of Roshan
=C.P.{(10-loss%)}/100
= Rs. {(100-10)(125x/100)}/100
=Rs. {(90/100)}(125x/100)} = Rs. 9x/8
=Rs. 90x125/100×100 = Rs. 90
But C.P. of Roshan = Rs. 72
According to the question,
9x/8=72
=> x = 72 × 8/9 = 8×8 = 64
Thus, C.P. of Ram = Rs. 64
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