Question

Only for scholars please tell me answer of this question in easy way but Step-by-step
A shopkeeper earns a profit of 15% on selling a radio whereas if it sold for rs 360 less he suffers a loss of 15%. What is the cost price of the radio for the shopkeeper?

Answer 1

Answer:

Cost Price of radio = Rs.1,200/-

Step-by-step explanation:

Let the cost price of the radio be Rs.x

Profit earned = 15%

Selling Price = (1 + 15/100) * x = 1.15x

When sold at Rs.360 less the selling price will be 1.15x - 360

As he incurs a loss of 15% on this transaction, the selling price will be

(1 - 15/100) * x = 0.85x

So 1.15x - 360 = 0.85x

0.3x = 360

x = 1200

Answer 2

Answer:

Rs 1200

Step-by-step explanation:

Find the difference in profit:

Difference in profit = 15% - (-15%) = 30%

Difference in profit = Rs 360

Find 1%:

30% = Rs 360

1% = 360 ÷ 30 = Rs 12

Find 100%

1% = Rs 12

100% = 12 x 100 = Rs 1200

Answer: The cost price is Rs 1200