A person sells an article for a loss of 18 percent. If he increases the selling price by ₹144 and decreases the cost price by 30 percent, then there is a profit of 20 percent. What is the original selling price?

एक व्यक्ति किसी वस्तु को 18 प्रतिशत की हानि पर बेचता है। यदि वह विक्रय मूल्य को ₹144 बढ़ा दे तथा क्रय मूल्य को 30 प्रतिशत घटा दे, तो 20 प्रतिशत का लाभ होता है। मूल विक्रय मूल्य कितना है?

Q: A person sells an article for a loss of 18 percent. If he increases the selling price by ₹144 and decreases the cost price by 30 percent, then there is a profit of 20 percent. What is the original selling price? एक व्यक्ति किसी वस्तु को 18 प्रतिशत की हानि पर बेचता है। यदि वह विक्रय मूल्य को ₹144 बढ़ा दे तथा क्रय मूल्य को 30 प्रतिशत घटा दे, तो 20 प्रतिशत का लाभ होता है। मूल विक्रय मूल्य कितना है?

D ₹5904 ₹5904 Let's cost price = 100x Selling price after 18% loss = 82x Selling price after ₹144 increment = 82x + 144 New Cost price after 30% decrement = 70x New selling price after 20% profit = 84x We know that 84x = 82x + 144 2x = 144 or x = 72 Original selling price = 82x = 82 × \times 72 = ₹5904

Question

A person sells an article for a loss of 18 percent. If he increases the selling price by ₹144 and decreases the cost price by 30 percent, then there is a profit of 20 percent. What is the original selling price?

एक व्यक्ति किसी वस्तु को 18 प्रतिशत की हानि पर बेचता है। यदि वह विक्रय मूल्य को ₹144 बढ़ा दे तथा क्रय मूल्य को 30 प्रतिशत घटा दे, तो 20 प्रतिशत का लाभ होता है। मूल विक्रय मूल्य कितना है?

Accepted Answer

D

₹5904

Let's cost price = 100x

Selling price after 18% loss = 82x

Selling price after ₹144 increment = 82x + 144

New Cost price after 30% decrement = 70x

New selling price after 20% profit = 84x

We know that 84x = 82x + 144

2x = 144 or x = 72

Original selling price = 82x = 82 $imes$ 72 = ₹5904

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CGL 21 Tier 2 Maths

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