Correct Answer - Option 2 : Rs. 28,000 and Rs. 50,000
Given:
Arun bought two mobiles for Rs. 50,000. He sold one at a profit of 25% and the other at a loss of 30%.
Formula used:
Selling price = cost price(100 + profit%)/100
Selling price = cost price(100 – loss%)/100
Calculation:
Let the cost price of first mobile be x
And the cost price of second mobile be 78,000 – x
According to the question,
The selling price of both mobile are same
⇒ x(100 + 25)/100 = (78,000 – x)(100 – 30)/100
⇒ 125 x = (78,000 – x)× 70
⇒ 195 x = 5460000
⇒ x = Rs. 28,000
Second mobile cost price = 78000 – 28000
⇒ Rs. 50000
∴ The cost price of both mobile is Rs. 28,000 and Rs. 50,000.