Question

There are two motorcycles (A and B) of equal cost price. Motorcycle A was sold at a loss of 8% and
motorcycle B was sold for Rs. 3,240 more than its cost price. The net profit earned after selling both the
motorcycles (A and B) is 5%. What is the cost price of each motorcycle ?

Answer 1

Answer:

The cost price of the bike is Rs.2945.

Step-by-step explanation:

Given : There are two motorcycles (A and B) of equal cost price. Motorcycle A was sold at a loss of 8% and  motorcycle B was sold for Rs. 3,240 more than its cost price. The net profit earned after selling both the  motorcycles (A and B) is 5%.

To find : What is the cost price of each motorcycle ?

Solution :

Let the cost price of the two bikes be 200x.

Total profit is 5%.

The selling price is $SP=\frac{100+P\%}{100}\times CP$

$SP=\frac{100+5}{100}\times 200x$

$SP=210x$

Motorcycle A was sold at a loss of 8%.

Loss=8%=SP=92x

Motorcycle B was sold for Rs. 3,240 more than its cost price.

SP=100x+3240.

Equation the selling price,

$100x+3240=210x$

$110x=3240$

$x=\frac{3240}{110}$

$x=29.45$

The cost price of the bike is $29.45\times 100=2945$

Therefore, The cost price of the bike is Rs.2945.