Question
Option 2 : ₹6,000 / ₹6,000
Detailed Solution
सही उत्तर ₹6,000 / ₹6,000 है।
prepsnap.in • Part -AQuestion:
An article is sold at a profit of 25%. If its cost price had been 10% less and it had been sold for ₹60 more, the profit would have been 40%. What was the original cost price of the article? / एक वस्तु 25% लाभ पर बेची जाती है। यदि उसका क्रय मूल्य 10% कम होता और वह ₹60 अधिक में बेची जाती, तो लाभ 40% होता। वस्तु का मूल क्रय मूल्य क्या था?
Correct Answer: ₹6,000 / ₹6,000
Let original CP = ₹x, so SP = $1.25x$. New CP = $0.9x$, new SP = $1.25x + 60$. Profit of 40% gives $(1.25x + 60 - 0.9x)/0.9x = 0.40$, so $0.35x + 60 = 0.36x$, giving $0.01x = 60$, i.e. $x = 6000$. / मूल क्रय मूल्य ₹x मानें, तो विक्रय मूल्य = $1.25x$। नया क्रय मूल्य = $0.9x$, नया विक्रय मूल्य = $1.25x + 60$। 40% लाभ से $(1.25x + 60 - 0.9x)/0.9x = 0.40$, अतः $0.35x + 60 = 0.36x$, जिससे $0.01x = 60$, अर्थात $x = 6000$।