Question

A shopkeeper sells a gieser for Rs 3500 and gain 1/6 of his C.P .Find the C.P of the gieser and the profit % ?

Answer 1

Answer:

The cost price of the geyser is Rs. 1779.86.

Step-by-step explanation:

The selling price is, SP = Rs. 3500.

Let the cost price be, Rs. x.

The gain is, $\frac{1}{6}x$.

Compute the value of x as follows:

$SP=CP[1+\frac{Gain}{100}]\\3500=x[1+\frac{x}{600}]\\2100000=600x+x^{2}\\x^{2}+600x-2100000=0$

Solve the resultant equation as follows:

$x = \frac{ -600 \pm \sqrt{600^2 - 4(1)(-2100000)}}{ 2(1) }\\x = \frac{ -600 \pm \sqrt{360000 - -8400000}}{ 2 }\\x = \frac{ -600 \pm \sqrt{8760000}}{ 2 }\\x = \frac{ -600 \pm 200\sqrt{219}\, }{ 2 }\\x = \frac{ -600 }{ 2 } \pm \frac{200\sqrt{219}\, }{ 2 }\\x=1179.86, -1779.86$

Since cost cannot be negative, the price of the geyser is Rs. 1779.86.