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A  sells an article to B at a gain of 8%, B sells the same article to Z at a gain of 25%. If the cost price of an article for Z is Rs. 27,000, then find the cost price of an article for A.
1. Rs. 20,000
2. Rs. 12,400
3. Rs. 15,678
4. Rs. 23,466

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Correct Answer - Option 1 : Rs. 20,000

Given

A earns a profit of 8%

B earns a profit of 25%

Formula used

Cost price for Last person = Cost price for first person (1 + P1%) (1 + P2%)

Where P1 and P2 are the profit percentage in successive selling 

Calculation

Let the cost price of an article for A is Rs.x

⇒ x × (1 + 8%) × (1 + 25%) = 27,000

⇒ x × (108/100) × (125/100) = 27,000

⇒ x = (27,000 × 100 × 100)/(108 × 125)

⇒ x = 20,000

∴ Cost price of an article for A is Rs. 20,000

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