Math Problem Statement

Danny a retailer purchased 210 same types of watches at the rate of Rs. 320 each. For transport and packing he spent an amount of Rs. 3200. He fixed the labelled price of each watch at Rs. 360 each However he decided to give a discount of 5% on the labelled price. What is the percentage of profit earned by him?

Solution

To determine the percentage of profit Danny earned, let's break down the steps and calculations involved.

Step 1: Calculate the Cost Price (C.P.)

The cost price includes both the cost of the watches and the additional expenses (transport and packing).

  • Cost of 210 watches = 210×320=67,200Rs210 \times 320 = 67,200 \, \text{Rs}
  • Transport and packing expenses = (

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Math Problem Analysis

Mathematical Concepts

Profit and Loss
Discount Calculation
Percentage

Formulas

Cost Price (C.P.) = Total cost of items + Additional expenses
Selling Price (S.P.) = Labelled Price - Discount
Percentage Profit = (Profit / Cost Price) * 100

Theorems

Profit Percentage Calculation

Suitable Grade Level

Grades 9-12