Question:
An article is sold at a profit of 20%. If its cost price were 10% less and the selling price were ₹18 less, the profit would have been 25%. Find the original Cost Price of the article.
(a) ₹200
(b) ₹240
(c) ₹250
(d) ₹280
(e) ₹300
एक वस्तु को 20% लाभ पर बेचा जाता है। यदि इसका क्रय मूल्य 10% कम होता और विक्रय मूल्य ₹18 कम होता, तो 25% का लाभ होता। वस्तु का मूल क्रय मूल्य ज्ञात कीजिए।
(a) ₹200
(b) ₹240
(c) ₹250
(d) ₹280
(e) ₹300
Correct Answer: (b)
Explanation:
Let CP = x. Original SP = 1.20x.
New CP = 0.90x. New SP = 1.20x – 18.
Given New SP = 1.25 New CP => 1.20x – 18 = 1.25 0.90x = 1.125x.
1.20x – 1.125x = 18 => 0.075x = 18 => x = 18 / 0.075 = ₹240.
माना CP = x, SP = 1.20x। नया CP = 0.90x, नया SP = 1.20x – 18।
1.20x – 18 = 1.25 * 0.90x = 1.125x => 0.075x = 18 => x = ₹240। सही उत्तर (b) है।