Multiple choice

$A$ sells a box to $B$ at a profit of $15\%$, $B$ sells the same to $C$ for Rs. $1012$ and makes a profit of $10\%$ $A$'s cost price is

  1. Rs. $720$
  2. Rs. $680$
  3. Rs. $880$
  4. Rs. $800$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

C's cost = 1012. B's profit = 10%. B's cost (A's selling price) = 1012 / 1.1 = 920. A's profit = 15%. A's cost = 920 / 1.15 = 800.

AI explanation

Using the successive selling price formula, A's cost price equals B's selling price of 1012 divided by the product of (1 + 0.15) and (1 + 0.10). This gives 1012 divided by 1.15 and 1.10, which simplifies to 1012 divided by 1.265, resulting in a cost price of Rs. 800.

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