Question

A sells a Radio at 10% profit. If C.P. is less by 10% and S.P. is less by Rs. 180 then A makes a profit of 20%. Find C.P. of the radio.​

Answer 1

Answer:

Here use equation

Profit/Loss = Selling Price(SP)- Cost Price(CP)

assume SP =X and CP = Y

Profit is 10%

that means SP = 1.1 *CP

that means X = 1.1 Y _______EQ 1

Now using 2nd condition

when product sold for RS 40 less it will lead to 10% loss

so (SP-40) = 0.9* CP

that means X-40 = 0.9 Y_______EQ 2

Solving equation 1 and 2

1.1 Y -40 = 0.9 Y

0.2Y = 40

Y = 200 = CP

so SP = 200*1.1 =220

Using the condition in equation

when the product is sold for 10% profit the SP will be 220

so Profit = 220–200 = 20 which is 10%

and when the same sold for 40 less the SP will be 220–40 = 180

so loss will be = 180–200 = -20 which is again 10%

So the Cost Price here is Rs. 200