Multiple choice

$A$ sells an article to $B$ for Rs. $45000$ losing $10\%$ in the transaction. $B$ sells it to $C$ at a price which would have given a profit of $10\%$ to $A$. By what percent does $B$ gain ?

  1. $ \dfrac {75}{2}\%$
  2. $\dfrac {100}{3}\%$
  3. $\dfrac {100}{9}\%$
  4. $\dfrac {150}{7}\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

A's cost price is 45000 divided by 0.90, which equals 50000. The price at which B sells to C would give A a 10% profit, so C's price is 1.10 times 50000, which is 55000. B's gain is 55000 minus 45000, which is 10000, and his gain percentage is (10000 / 45000) times 100. This simplifies to 100/9 percent.

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