A vendor sells shirts at ₹500 each, earning a 2% commission, and ties at ₹150 each, with a 12% commission. If he sells 3 shirts a…

Question

A vendor sells shirts at ₹500 each, earning a 2% commission, and ties at ₹150 each, with a 12% commission. If he sells 3 shirts and 4 ties per day, what will be his total commission earned in 30 days?

1. A. ₹2850
2. B. ₹3000
3. C. ₹3060 (Correct answer)
4. D. ₹3200

Correct Answer

Option C — ₹3060

Detailed Solution & Explanation

The correct answer is ₹3060.

Key Points

• Work out one day's commission from each product separately:
  • Shirts: 3 × ₹500 = ₹1,500, at 2% → ₹30
  • Ties: 4 × ₹150 = ₹600, at 12% → ₹72
• Daily commission = 30 + 72 = ₹102.
• Over 30 days: 102 × 30 = ₹3,060.
• The two rates differ, so the sales values cannot be pooled before applying a percentage — computing 2% or 12% on the combined ₹2,100 is precisely what the distractors are built from.

Additional Information

• Commission is a percentage of the sale value, so each product's rate must be applied to its own sales before totalling.
• Where rates differ, the combined sales figure is meaningless — this is the same principle as weighted average, and the same trap.
• Scale to the required period only at the end: compute one day, then multiply, rather than scaling each product separately.

प्रश्न (हिन्दी में)

एक विक्रेता ₹500 प्रति शर्ट की दर से 2% कमीशन कमाता है, तथा ₹150 प्रति टाई की दर से 12% कमीशन कमाता है। यदि वह प्रतिदिन 3 शर्ट और 4 टाई बेचता है, तो 30 दिनों में उसका कुल कमीशन कितना होगा?

1. A. ₹2850
2. B. ₹3000
3. C. ₹3060
4. D. ₹3200