Question:
The marked price of an article is 35% more than its cost price. If a discount of 15% is given, what will be the profit percentage?
एक वस्तु का अंकित मूल्य उसके क्रय मूल्य से 35% अधिक है। यदि 15% की छूट दी जाती है, तो लाभ प्रतिशत क्या होगा?
Options:
- a) 12 3/4%
- b) 14 3/4%
- c) 13 2/3%
- d) 10 1/4%
- a) 12 3/4%
- b) 14 3/4%
- c) 13 2/3%
- d) 10 1/4%
correct answer : b)
Explanation:
Let the Cost Price (CP) = 100.
Marked Price (MP) = 135 (35% more than CP).
Discount = $15\%$ of 135 = $0.15 \times 135 = 20.25$.
Selling Price (SP) = $135 – 20.25 = 114.75$.
Profit = SP – CP = $114.75 – 100 = 14.75$.
Profit percentage = $14.75\% = 14\frac{3}{4}\%$.
Hence, option (b) is the correct answer.
माना क्रय मूल्य (CP) = 100।
अंकित मूल्य (MP) = 135 (CP से 35% अधिक)।
छूट = 135 का $15\% = 0.15 \times 135 = 20.25$।
विक्रय मूल्य (SP) = $135 – 20.25 = 114.75$।
लाभ = SP – CP = $114.75 – 100 = 14.75$।
लाभ प्रतिशत = $14.75\% = 14\frac{3}{4}\%$।
अतः, विकल्प (b) सही उत्तर है।