A shopkeeper buys toffees at 5…

Mathematics Questions

A shopkeeper buys toffees at 5 for a rupee and sells them at 4 for a rupee. How many toffees must be sold to achieve a profit of ‚Çπ125? A. 1200 B. 1500 C. 2000 D. 2500

Short Answer

The shopkeeper must sell 2500 toffees to earn a profit of ‚Çπ125, calculated by determining the cost price per toffee as 0.2 rupees and the selling price as 0.25 rupees, resulting in a profit of 0.05 rupees per toffee.

Step-by-Step Solution

Step 1: Calculate Cost Price per Toffee

To determine the cost price (CP) per toffee, we first note the shopkeeper buys 5 toffees for 1 rupee. This can be calculated as:

  • CP per toffee = 1 rupee / 5 toffees = 0.2 rupees

Step 2: Calculate Selling Price per Toffee

The next step is to find the selling price (SP) per toffee. The shopkeeper sells 4 toffees for 1 rupee, which gives us:

  • SP per toffee = 1 rupee / 4 toffees = 0.25 rupees

Step 3: Calculate Total Toffees Needed for Profit

Now, we need to find out how many toffees must be sold to achieve a profit of ‚Çπ125. First, we calculate the profit per toffee:

  • Profit per toffee = SP – CP = 0.25 – 0.2 = 0.05 rupees
  • To find the number of toffees, use the formula: Number of Toffees = Total Desired Profit / Profit per Toffee
  • Substituting values gives: Number of Toffees = 125 / 0.05 = 2500

Thus, the shopkeeper must sell 2500 toffees to earn a profit of ‚Çπ125.

Related Concepts

Cost price (cp)

The amount paid to purchase an item, calculated by dividing the total cost by the number of items obtained.

Selling price (sp)

The amount at which an item is sold, calculated by dividing the total revenue by the number of items sold.

Profit

The financial gain achieved when the selling price exceeds the cost price, calculated as the difference between the two.

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