# Subhi bought two articles for Rs. 824. He sold one at a loss of 12% and the other at a profit of 12%. If the selling price of both the articles is equ

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Subhi bought two articles for Rs. 824. He sold one at a loss of 12% and the other at a profit of 12%. If the selling price of both the articles is equal, then the difference between their cost prices?
1. 90
2. 85
3. 98
4. 23

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Correct Answer - Option 3 : 98

Given:

Subhi bought two articles for Rs.824.

He sold one at a loss of 12% and the other at a profit of 12%.

Formula used:

Profit = (SP - CP)

Profit % = (Profit/CP) × 100

Loss = (CP - SP)

Loss % = (Loss/CP) × 100

Calculation:

Let the CP of one article be Rs. x and the CP of other article be Rs. 824 - x.

SP of one article = 88x/100

SP of other article = 112(824 - x)/100

As per question,

88x/100 = 112(824 - x)/100

⇒ 88x = 112 × 824 - 112x

⇒ 200x = 112 × 824

⇒ x = 461(approx.)

Difference between CP = 2x - 824

⇒ Rs. (922 - 824)

⇒ Rs. 98

∴ the correct answer is Rs. 98