When an article is sold for ₹115, the profit is twice as much as when it is sold for ₹95. The cost price of the article is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → ₹75
Profit = selling price − cost price. Writing both profits in terms of the cost price \(C\), the condition “one profit is twice the other” gives one equation in \(C\).
Profit at ₹115: \(115-C\); profit at ₹95: \(95-C\)
The first profit is twice the second: \(115-C=2(95-C)\)
\(115-C=190-2C\), so the cost price is \(C=75\)
Shortcut:
The two profits differ by the difference of the selling prices: \(115-95=20\)
Twice a profit minus the profit is the profit itself, so the profit at ₹95 is ₹20
Cost price \(=95-20=75\)