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Mr Ali would make a profit of 59% if he sells his watch at $4611. Find out how much profit he would get if he sold his watch at $5000.

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Solution

Let's solve the problem step by step.

  1. Determine the cost price (CP) of the watch:

    • Given that Mr. Ali would make a profit of 59% if he sells the watch at $4611.
    • Let the cost price be CP CP .
    • Profit percentage is given by the formula: Profit Percentage=(Selling PriceCost PriceCost Price)×100 \text{Profit Percentage} = \left( \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \right) \times 100
    • Plugging in the values: 59=(4611CPCP)×100 59 = \left( \frac{4611 - CP}{CP} \right) \times 100
    • Simplify the equation: 59=(4611CPCP)×100 59 = \left( \frac{4611 - CP}{CP} \right) \times 100 0.59=4611CPCP 0.59 = \frac{4611 - CP}{CP} 0.59×CP=4611CP 0.59 \times CP = 4611 - CP 0.59×CP+CP=4611 0.59 \times CP + CP = 4611 1.59×CP=4611 1.59 \times CP = 4611 CP=46111.59 CP = \frac{4611}{1.59} CP=2900 CP = 2900
  2. Calculate the profit if the watch is sold at $5000:

    • Selling Price (SP) = $5000
    • Cost Price (CP) = $2900
    • Profit is given by: Profit=Selling PriceCost Price \text{Profit} = \text{Selling Price} - \text{Cost Price}
    • Plugging in the values: Profit=50002900 \text{Profit} = 5000 - 2900 Profit=2100 \text{Profit} = 2100

Therefore, if Mr. Ali sells his watch at 5000,hewouldmakeaprofitof5000, he would make a profit of 2100.

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