Multiple choice

By selling an article at 80% of it marked price, a trader makes a loss of 10%. What will be the profit percentage if he sells it at 95% of its marked price? एक वस्तु को अंकित मूल्य के 80% मूल्य पर बेच कर, एक व्यापारी 10% का नुकसान उठाता है । यदि वह अंकित मूल्य के 95% मूल्य पर वस्तु को बेचे तो क्या लाभ प्रतिशत प्राप्त होगा?

  1. 5.9

  2. 12.5

  3. 6.875

  4. 5

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

Let MP = M. Selling at 80% gives loss of 10%, so 0.8M = 0.9CP (CP = cost price). This gives CP/M = 8/9. Selling at 95%: SP = 0.95M. Profit% = (SP - CP)/CP × 100 = (0.95M - 0.888...M)/(0.888...M) × 100 = 6.875%. The key is finding the CP to MP relationship first.