39 A 39 sells an article to 39 B 39 at 12 profit 39 B 39 sells it to 39 C 39 at 9 loss If 39 C 39 p...........

Quantitative Aptitude (MTS) Percentage

'A' sells an article to 'B' at 12% profit. 'B' sells it to 'C' at 9% loss. If 'C' pays Rs15,288 for it, then at what price (in Rs) is the article sold by A?

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SSC MTS 2nd Nov 2021 Shift-2

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15,000

16,800

16,000

14,250

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Explanation:

Correct option 2: 16,800
'A' sells an article to 'B' at 12% profit. 'B' sells it to 'C' at 9% loss.
'C' pays Rs. 15,288 for it.
Now,
Selling Price = Cost Price (1 + Profit%)
Result of two successive percentage increment of A% and B% = (A + B + AB/100)%
Solution
Final profit percentage incurred during the transaction from A to C = (12-9- 12x9/100) = 1.92% (Considering 9% as negative since it's a loss)
100
Hence, Cost price of A = 15288 ÷ (1+1.92/100) = Rs. 15000
Thus, A sold the article to B at = 15000 × (1+ 12/100) = Rs. 16800