Ragini buys oranges at Rs 10 per dozen and sells them at Rs 12 for every 10 oranges. Find her profit percentage.

Introduction:Convert both buying and selling terms to unit rates (per orange) and then compute profit percentage using the standard formula (SP − CP)/CP * 100. Mixed “per dozen” and “per ten” wordings often hide simple unit arithmetic.

Given Data / Assumptions:

• CP: Rs 10 per 12 oranges → CP per orange = 10/12
• SP: Rs 12 per 10 oranges → SP per orange = 12/10

Concept / Approach:Profit% = ((SP − CP) / CP) * 100 after computing per-piece prices. Keep exact fractions to avoid rounding errors.

Step-by-Step Solution:CP per orange = 10/12 = 5/6 ≈ 0.8333SP per orange = 12/10 = 6/5 = 1.2Profit% = ((1.2 − 0.8333)/0.8333) * 100 = (0.3667/0.8333) * 100 ≈ 44%

Verification / Alternative check:On 30 oranges: CP = (5/6)*30 = 25; SP = (6/5)*30 = 36; profit = 11; profit% = 11/25 * 100 = 44%.

Why Other Options Are Wrong:40%, 48%, 60%: Do not match the exact ratio 6/5 versus 5/6.

Common Pitfalls:Forgetting that dozen = 12; mixing up the bases (per 10 vs per 12) and doing a direct percentage on rupees rather than unit cost.

Final Answer:44 %