Multiple choice

Two identical chairs A and B were bought at same cost price and were sold at different prices. If the total profit obtained was 36%, then chair A was sold at _% profit and chair B was sold at _ % loss. Which of the following options is/are possible for the blanks in same order? A. 80 and 8 B. 72 and 0 C. 90 and 9 D. 84 and 8 E. 100 and 20

  1. B only

  2. Both B and C

  3. Both C and E

  4. Both B and A

  5. B, A and C
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP of each chair be 100. Total CP = 200. Total SP = 200 * 1.36 = 272. SP_A + SP_B = 272. If A is sold at x percent profit and B at y percent loss, (100+x) + (100-y) = 272, so x - y = 72. Option B (72, 0) gives 72 - 0 = 72. Option A (80, 8) gives 80 - 8 = 72. Both A and B satisfy the condition.

AI explanation

Let the cost price of each identical chair be 100 Rs, making the total cost price 200 Rs. For a total profit of 36%, the combined selling price must be 272 Rs. Checking option A, selling chair A at an 80% profit gives 180 Rs, and selling chair B at an 8% loss gives 92 Rs; their combined selling price is 272 Rs, which perfectly matches the required total profit of 36%. Checking option B, selling chair A at a 72% profit gives 172 Rs, and selling chair B at a 0% loss gives 100 Rs; their combined selling price is also exactly 272 Rs.

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