Question

A sells a car to B at 10% loss. If B sells it for ₹54000 and gains 20%, find the cost price of the car for A.

Solve this sum plz it's urgent.​

Answer 1

Answer:

Selling price of the car = Rs. 54000

Gain = 20%

Cost price of A = Rs

100+gain/100

×S.P= 120/100×54000=Rs.45000

New cost price = Rs. 45000.

Loss = 10%

S.P=[ 100−gain/100×C.P]= 90/100×45000=Rs.50000

Answer 2

Given:

Selling price offered by B= Rs. 54000

Profit gained by B = 20%

Loss of A = 10%

To find:

The cost price of the car for A

Solution:

The formula for the profit % is

Profit % = $\frac{SP - CP }{CP}$ × 100

From here, cost price C.P can be calculated for B as Selling price S.P has been given as Rs. 54000 and profit % is given as 20%

C.P = (54000 × 100) / 120

C.P = Rs. 45000

Case 2,

A has to sell the car at 10% loss,

The formula for loss % = $\frac{C.P - S.P }{C.P }$ × 100

This cost price was initially the selling price for the car offered by A.

Hence, we can use Rs. 45000 as the selling price for calculating the cost price of the car for A.

Here, we can use the formula for loss % and calculate C.P for A.

C.P for A = ( 45000  × 100 ) / 90

Cost price = Rs. 50,000

The cost price of the car for A is Rs. 50, 000.