Multiple choice

A style of curtains emporium the trader measures 30% less for every metre of cloth also he marks up goods by 30%. What is the approximate profit percentage? कपड़ा एम्पोरियम की एक शैली कपड़ा के हर मीटर के लिए 30% कम माप करती है, तथा वह वस्तुओं का मूल्य 30% बढाकर भी अंकित करता है। अनुमानित लाभ प्रतिशत क्या है?

  1. 70%

  2. 50%

  3. 66%

  4. 86%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Trader gives 30% less cloth but charges for full meter. For every meter, customer gets 0.7m but pays 1m price. CP is for 0.7m of cloth. Markup 30% means SP = 1.3 * CP_1m where CP_1m is cost of 1m. But actual CP is for 0.7m. Effective CP = 0.7 * CP_1m, SP = 1.3 * CP_1m. Profit = (1.3 - 0.7)/0.7 = 0.6/0.7 ≈ 85.7% ≈ 86%. The trick is that cost price is for cloth actually given, not charged.