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A man sells two articles, first on 10% loss and second on 40% profit. Find the selling price if the difference between the CP is 3500, if SP of both articles are the same.
1. Rs. 8389
2. Rs. 8820
3. Rs. 8450
4. Rs. 8900

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Best answer
Correct Answer - Option 2 : Rs. 8820

Given:

One article sold at 10% loss and the other at 40% profit

Also, CP1 – CP2 = 3500

Concept used:

Gain% = (SP – CP)/CP × 100%

Calculation:

CP1 – CP2 = 350      ----(i)

SP1= 90CP1/100;

SP2 = 140CP2/100.

Given, SP1 = SP2

⇒9CP1/10 = 14CP2/10

⇒ CP1 = 14CP2/9      ----(ii)

Substituting (ii) in (i),

14 CP2/9 – CP2 = 3500

⇒ 5 CP2/9 = 3500

⇒ CP2 = 6300

⇒ SP1 = SP2 = 14 × 6300/10 = 8820

the SP is Rs. 8820

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