Question:
A shopkeeper offers two successive discounts of 18% and 12% on an item. If the marked price of the item is Rs. 1,500, what is its final selling price (to the nearest integer)?
एक दुकानदार किसी वस्तु पर 18% और 12% की दो क्रमागत छूट प्रदान करता है। यदि वस्तु का अंकित मूल्य ₹1,500 है, तो इसका अंतिम विक्रय मूल्य (निकटतम पूर्णांक तक) क्या है?
Options:
- Rs. 1,065
- Rs. 1,082
- Rs. 1,095
- Rs. 1,110
- ₹1,065
- ₹1,082
- ₹1,095
- ₹1,110
Correct Answer: b)
Explanation:
\(SP = 1500 \times (1 – 0.18) \times (1 – 0.12) = 1500 \times 0.82 \times 0.88 = 1500 \times 0.7216 = \text{Rs. } 1,082.4 \approx \text{Rs. } 1,082\).
\(SP = 1500 \times 0.82 \times 0.88 = 1500 \times 0.7216 = ₹1,082.4 \approx ₹1,082\)।