Question

if a car is said at Rs.456972.5 there is a profit of 29%. What is the cost price of the car?

Answer 1

Correct Question:

If a car is sold at ₹ 456972.50, there is a profit of 29%. What is the cost price of the car?

Solution:

Let the cost price ( CP ) of the car be ₹ x.

You may assume any other variable as well :)

We know that,

Profit = Profit % of CP

Profit = 29 % of ₹ x

Profit = ₹ 29x / 100

We know that selling price amounts to the sum of cost price and profit hence,

Selling Price ( SP ) = Cost Price ( CP ) + Profit

SP = ₹ x + ₹ 29x / 100

SP = ₹ 129x / 100

But, according to the question,

SP = ₹ 456972.50

Hence,

₹ 129x / 100 = 456972.50

₹ 129x = 45697250

₹ x = 45697250 / 129

₹ x = 354242.25 ( approximately )

Hence,

Cost Price ( CP ) of the car = ₹ x = ₹ 354242.25