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Finding Prices / Charges Related to Buying and Selling

Radhey sells ...

Question

Radhey sells his motorcycle to Raghu at a discount of $20 %$ while Raghu sells it at $10 %$ profit to Sorav for Rs. $20, 000$ . Calculate the cost price of motor cycle.

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Solution

$20, 000 = C (1 - \frac{20}{100}) (1 + \frac{10}{100})$
$C = 20, 000 \times \frac{100}{80} \times \frac{100}{110}$
$= R s . 22, 727.27$

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