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.

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 $CP$.
   • Profit percentage is given by the formula: $\text{Profit Percentage} = \left( \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \right) \times 100$
   • Plugging in the values: $59 = \left( \frac{4611 - CP}{CP} \right) \times 100$
   • Simplify the equation: $59 = \left( \frac{4611 - CP}{CP} \right) \times 100$ $0.59 = \frac{4611 - CP}{CP}$ $0.59 \times CP = 4611 - CP$ $0.59 \times CP + CP = 4611$ $1.59 \times CP = 4611$ $CP = \frac{4611}{1.59}$ $CP = 2900$

2. Calculate the profit if the watch is sold at $5000:

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

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

Step 1: First, we need to find out the cost price of the watch. If Mr. Ali sells his watch at $4611 and makes a profit of 59$4611 is 159% of the cost price.

So, let's denote the cost price as X. We can set up the equation as follows:

159/100 * X = $4611

Step 2: Solve the equation for X to find the cost price.

X = $4611 / (159/100) =$2900

Step 3: Now, we know the cost price of the watch is $2900. If Mr. Ali sells his watch at$5000, we can calculate the profit by subtracting the cost price from the selling price.

Profit = Selling price - Cost price

Profit = $5000 -$2900 = $2100

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

Para resolver este problema, sigamos los siguientes pasos:

1. Determinar el costo original del reloj: Sabemos que Mr. Ali haría un 59% de ganancia si vende el reloj a $4611. Esto significa que$4611 es el 159% del costo original (100% + 59% = 159%).

   Entonces, podemos escribir la ecuación: $1.59 \times \text{Costo original} = 4611$

   Para encontrar el costo original, dividimos $4611 entre 1.59: $\text{Costo original} = \frac{4611}{1.59} \approx 2900$

2. **Calcular la ganancia si vende el reloj a $5000:** Ahora que sabemos que el costo original es aproximadamente$2900, podemos calcular la ganancia si vende el reloj a $5000.

   La ganancia sería: $\text{Ganancia} = \text{Precio de venta} - \text{Costo original}$ Sustituyendo los valores: $\text{Ganancia} = 5000 - 2900 = 2100$

Por lo tanto, Mr. Ali obtendría una ganancia de $2100 si vendiera su reloj a$5000.