Question

Mr a sells a bicycle to Mr B at a profit of 20 % and mr B sells it to mr C at a profit of 25% lf mr C pays 1500 what did Mr A pay for it
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Answer 1

Answer:

900

Step-by-step explanation:

Answer 2

Let Mr A Bicycle CP at =₹ x

He sold it at profit of 20%

SP of Mr A Bicycle

$x + (x \times 20\%) \\ \\ x + ( \frac{20}{100} \times x) \\ \\ = x + \frac{x }{5} \\ \\ = \frac{5x + x}{5} \: \: \: \: lcm = 5 \\ \\ \frac{6x}{5}$

So,SP of Mr A Bicycle=₹6x/5

MEANS Mr Sold His Bicycle to Mr B at ₹6x/5

Now Mr B Bicycle CP=₹ 6x/5

He sold To Mr C at Gain of 25%

$x + (25\% \times \frac{6x}{5} ) \\ \\ x + ( \frac{25}{100} \times \frac{6x}{5} ) \\ \\ x + \frac{6x}{20} \\ \\ \frac{20x + 6x}{20} \\ \\ \frac{26x}{20} \: \: \: lcm \: 20$

MEANS Mr C Buys It for=₹26x/20

But Care pays=₹1500

A/Q

$\frac{26x}{20} = 1500 \\ \\ x = 1500 \times \frac{20}{26} \\ \\ x = 1500 \times \frac{10}{13} \\ \\ x = 1153.84$

Approx=₹1154

X is Cost on Which A Buys

$\boxed{\mathsf{A \:Buys\: it\: in=Rs.1154}}$