Question

Using the same caselet from questions 29-32 (A shop sells items A and B. Item A: cost price Rs. 100, sold at 20% profit. Item B: cost price Rs. 200, sold at 25% profit. Total profit from 10 items is Rs. 350, with 5 items of A and 5 items of B sold), what is the percentage contribution of item A's profit to the total profit?

• A. 20%
• B. 28.57%
• C. 33.33%
• D. 40%

Hint:

To find percentage contribution, divide the part by the total and multiply by 100, verifying with other components if possible.

Answer 1

The Correct Option is B

- Step 1: From previous questions: Item A's profit = Rs. 20 per unit, 5 units sold. Total profit from A = $5 \times 20 = 100$.
- Step 2: Total profit = Rs. 350 (given).
- Step 3: Percentage contribution of A's profit = $\left(\dfrac{\text{A's profit}}{\text{Total profit}}\right) \times 100 = \left(\dfrac{100}{350}\right) \times 100 = \dfrac{10000}{350} \approx 28.57%$.
- Step 4: Verify: Item B's profit = $5 \times 50 = 250$. Total profit = $100 + 250 = 350$. A's contribution = $\dfrac{100}{350} = \dfrac{2}{7} \approx 0.2857 \times 100 = 28.57%$.
- Step 5: Check options: Option (2) is 28.57%, which matches.
- Step 6: Ensure correct profit values and division.