An item costing Rs.840 was sold by the shopkeeper at a gain of 10% and

1.	An item costing Rs.840 was sold by the shopkeeper at a gain of 10% and it was sold by the new buyer at a loss of 5%. Final selling price of the item is1. 877.802. 798.203. 924.604. 777.80
Answer» Correct Answer - Option 1 : 877.80 Given: Cost Price (CP) of an item = Rs.840 Profit on selling the item by the shopkeeper = 10% Loss on selling the item by the first buyer = 5% Formulae Used: When an item is sold at a Profit of x%, the Selling Price becomes: SP = [(100 + x)/100] × CP Similarly, when the item is sold at a Loss of y%, the Selling Price becomes: SP = [(100 – y)/100] × CP Calculation: Selling price of the item when sold by the Shopkeeper is obtained as; SP = [(100 + 10)/100] × 840 ⇒ SP = 1.1 × 840 = Rs.924 This SP will be the CP for the first buyer. So, when the first buyer sells the item at a loss of 5%, the final SP becomes: SP = [(100 – 5)/100] × 924 ⇒ Final SP = 0.95 × 924 = Rs.877.80 ∴ The final Selling Price of the item is Rs.877.80

An item costing Rs.840 was sold by the shopkeeper at a gain of 10% and it was sold by the new buyer at a loss of 5%. Final selling price of the item is1. 877.802. 798.203. 924.604. 777.80

Answer» Correct Answer - Option 1 : 877.80

Given:

Cost Price (CP) of an item = Rs.840

Profit on selling the item by the shopkeeper = 10%

Loss on selling the item by the first buyer = 5%

Formulae Used:

When an item is sold at a Profit of x%, the Selling Price becomes:

SP = [(100 + x)/100] × CP

Similarly, when the item is sold at a Loss of y%, the Selling Price becomes:

SP = [(100 – y)/100] × CP

Calculation:

Selling price of the item when sold by the Shopkeeper is obtained as;

SP = [(100 + 10)/100] × 840

⇒ SP = 1.1 × 840 = Rs.924

This SP will be the CP for the first buyer.

So, when the first buyer sells the item at a loss of 5%, the final SP becomes:

SP = [(100 – 5)/100] × 924

⇒ Final SP = 0.95 × 924 = Rs.877.80

∴ The final Selling Price of the item is Rs.877.80