A merchant purchases a cloth at a rate of Rs.100 per meter and receives 5 cm length of cloth free for every 100 cm length of cloth purchased by him. He sells the same cloth at a rate of Rs.110 per meter but cheats his customers by giving 95 cm length of cloth for every 100 cm length of cloth purchased by the customers. If the merchant provides a 5% discount, the resulting profit earned by him is:
Question:
A merchant purchases a cloth at a rate of Rs.100 per meter and receives 5 cm length of cloth free for every 100 cm length of cloth purchased by him. He sells the same cloth at a rate of Rs.110 per meter but cheats his customers by giving 95 cm length of cloth for every 100 cm length of cloth purchased by the customers. If the merchant provides a 5% discount, the resulting profit earned by him is:
A merchant purchases a cloth at a rate of Rs.100 per meter and receives 5 cm length of cloth free for every 100 cm length of cloth purchased by him. He sells the same cloth at a rate of Rs.110 per meter but cheats his customers by giving 95 cm length of cloth for every 100 cm length of cloth purchased by the customers. If the merchant provides a 5% discount, the resulting profit earned by him is:
Options
Answer: (2) 15.5%
Explanation:
Step 1: Effective cost price per meter Pays Rs.100 for 105 cm → cost per meter = 100 / 105 × 100 ≈ Rs.95.238 Step 2: Effective selling price per meter Charges Rs.110 for 95 cm → SP per meter = 110 / 0.95 ≈ Rs.115.789 After 5% discount → SP = 115.789 × 0.95 ≈ Rs.110 Step 3: Profit percentage Profit % = (SP − CP) / CP × 100 = (110 − 95.238) / 95.238 × 100 ≈ 15.5% Answer: 15.5%
Explanation:
Step 1: Effective cost price per meter Pays Rs.100 for 105 cm → cost per meter = 100 / 105 × 100 ≈ Rs.95.238 Step 2: Effective selling price per meter Charges Rs.110 for 95 cm → SP per meter = 110 / 0.95 ≈ Rs.115.789 After 5% discount → SP = 115.789 × 0.95 ≈ Rs.110 Step 3: Profit percentage Profit % = (SP − CP) / CP × 100 = (110 − 95.238) / 95.238 × 100 ≈ 15.5% Answer: 15.5%
👉 Want AI explanation? Open in MCQ App
Recommended articles
- How To Cover Current Affairs For Upsc Prelims — Master UPSC Current Affairs with daily newspaper reading, Vision IAS monthly compilations, PT 365, and MCQ practice. Complete strategy guide for Prelims…
- Top 10 Daily Current Affairs Resources For Upsc Aspirants — Discover the best daily current affairs resources for UPSC 2026. Complete guide with The Hindu, PIB, Sansad TV, and 7 more proven sources. Expert…
- Free Cat Previous Year Questions Guide — Master CAT 2025 with free previous year questions. Practice 1000+ PYQs, mock tests, and detailed solutions. Complete guide to CAT preparation using past…