A sells a cycle to B at a profit of 20...

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A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25% . If C bought the cycle for Rs. P, then the cost price of it for A was = ?

A. $${\text{Rs}}{\text{.}}\,\frac{1}{{20}}{\text{P}}$$

B. $${\text{Rs}}{\text{.}}\,\frac{9}{{20}}{\text{P}}$$

C. $${\text{Rs}}{\text{.}}\,\frac{9}{{10}}{\text{P}}$$

D. $${\text{Rs}}{\text{.}}\,\frac{{10}}{9}{\text{P}}$$

Answer: Option D

Solution(By Examveda Team)

Let the CP_A = 100x
∴ CP_B = 100x + 20% of 100x = 100x + 20x = 120x
And CP_C = 120x - 25% of 120x = 120x - 30x = 90x
According to question,
90x = P
⇒ x = $$\frac{P}{90}$$
∴ CP_A = $$100 \times \frac{P}{{90}} = \frac{{10P}}{9}$$

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