P purchased two items, a Table fan and a Ceiling fan, at the same cost price. She applied markups of 35% and 52% on the Table fan and Ceiling fan, respectively. Later, she decided to offer a discount of 25% on the Ceiling fan and 20% on the Table fan. Determine the selling price of the Table fan if the difference between the selling prices of both items is Rs. 180.

Solution

ATQ, Let the cost price of article ‘Table fan’ and article ‘Ceiling fan’ be Rs. ‘100a’, each Marked price of article ‘Table fan’ = 100a + 100a × 0.35 = Rs. ‘135a’ Marked price of article ‘Ceiling fan’ = 100a + 100a × 52 = Rs. ‘152a’ Selling price of article ‘Table fan’ = 135a – 135a × 0.2 = 135a – 27a = Rs. ‘108a’ Selling price of article ‘Ceiling fan’ = 152a – 152a × 0.5 = 152a – 38a = Rs. ‘114a’ According to question: 114a – 108a = 180 Or, 6a = 180 Or, a = 30 Selling price of article ‘Table fan’ = 108 × 30 = Rs. 3,240