# Arun bought two mobiles for Rs. 78,000. He sold one at a profit of 25% and the other at a loss of 30%. If the selling price of both moblies are same,

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Arun bought two mobiles for Rs. 78,000. He sold one at a profit of 25% and the other at a loss of 30%. If the selling price of both moblies are same, then find the cost price of both mobiles.
1. Rs. 38,000 and Rs. 40,000
2. Rs. 28,000 and Rs. 50,000
3. Rs. 32,000 and Rs. 46,000
4. Rs. 48,000 and Rs. 30,000

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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.