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Arun bought 4 shirts. Out of these, he sold two shirts at a profit of 10% and one shirt at a loss of 7.5%. If all the shirts have been sold and he earned a profit of 6% in this business, then Arun sold the fourth shirt at

  • A.3.5% loss
  • B.3.5% profit
  • C.11.5% profit
  • D.4.5% loss

Answer: C

The fourth shirt was sold at an 11.5% profit.

Take the cost of each shirt as 100, so the four cost 400. A 6% overall profit means total sales of 424.

\[ \begin{aligned} 2 \times 110 + 92.5 &= 312.5 \\ 424 - 312.5 &= 111.5 \end{aligned} \]

The fourth shirt sold for 111.5 against a cost of 100, an 11.5% profit. The first three shirts together earn only 12.5 on a cost of 300, about 4.2%, which is below the 6% target, so the fourth must be sold at more than 6% profit; that rules out both loss options and the 3.5% profit.

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