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An agent buys a T.V set listed at $\text₹10,000$ and gets $10\%$ and $20\%$ successive discounts. He spends $10\%$ of his C.P. on transport. At what price(in rupees) should he sell the T.V. set to earn a profit of $10\%$?

  1. $8,692$
  2. $8,702$
  3. $8,712$
  4. $8,722$
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Answer is C

MP=Rs.10000, Agent’s CP = $10000*\frac{90}{100}*\frac{80}{100} = Rs.7200$

He spends 10% of his C.P. on transport = $7200*\frac{10}{100} = Rs.720$

Total CP of the agent = Rs.7200+Rs.720 = Rs.7920

In order to gain 10% profit, SP of TV = $7920*\frac{110}{100} = Rs.8712$

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