Profit or Loss

Algebra Level pending

Bob sold 2 cars a Ferrari and a Lamborghini at the same rate. He made a profit of 20% on the Ferrari but suffered a loss of 20% on the Lamborghini. If the Ferrari cost him $200 (too cheap!) then at what price (in $) did he buy the Lamborghini?


The answer is 300.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Dhaval Furia
Jun 28, 2016

Let the cost price and selling price of the Ferrari be c 1 c_1 and s 1 s_1 respectively.

Similarly, let the cost price and selling price of the Lamborghini be c 2 c_2 and s 2 s_2 respectively.

Selling price of both cars is same s 1 = s 2 \Rightarrow s_1 = s_2 1 \ldots \boxed{1}

Profit on Ferrari is 20% s 1 = 1.2 c 1 \Rightarrow s_1 = 1.2 * c_1 2 \ldots \boxed{2}

Loss on Lamborghini is 20% s 2 = 0.8 c 2 \Rightarrow s_2 = 0.8 * c_2 3 \ldots \boxed{3}

Ferrari costs 200 c 1 = 200 \Rightarrow c_1 = 200

s 1 = 1.2 200 = 240 \Rightarrow s_1 = 1.2 * 200 = 240 F r o m 2 \ldots \boxed{From 2}

240 = s 2 \Rightarrow 240 = s_2 F r o m 1 \ldots \boxed{From 1}

240 = 0.8 c 2 \Rightarrow 240 = 0.8 * c_2 F r o m 3 \ldots \boxed{From 3}

c 2 = 240 0.8 = 300 \Rightarrow c_2 = \frac {240}{0.8} = 300

\Rightarrow Lamborghini costs 300

thats right

rajdeep das - 4 years, 11 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...