Question

A fruit merchant sells fruit at certain rate and earns 25% profit.If he charges rs1 more for each mango,he gets a profit of 50%.find at what rate he sells the mangoes initially?Also find the cost price of each mango

Answer 1

Dear Student,

Let the Cost price of each mango be Rs C
Let the Selling price of each mango be Rs. S

$\Rightarrow$Profit = Selling Price - Cost Price
$\Rightarrow$Profit = 25%
$\Rightarrow$25% of S = S - C
$\Rightarrow$0.25 S = S - C
$\Rightarrow$C = 0.75 S ................... (1)

If selling price of each mango is increased by Rs. 1 then,
$\Rightarrow$Selling Price = S + 1
$\Rightarrow$Profit = 50%
$\Rightarrow$50% of (S+1) = (S + 1) - C
$\Rightarrow$0.5 (S + 1) = (S + 1) - C
$\Rightarrow$0.5S + 0.5 = (S + 1) - C
$\Rightarrow$C - 0.5 S = 0.5
$\Rightarrow$0.75 S - 0.5 S = 0.5 (From (1) )
$\Rightarrow$0.25 S = 0.5
$\Rightarrow$S = $\frac{0.5}{0.25}$
$\Rightarrow$S = 2
$\Rightarrow$C = 0.75 S
$\Rightarrow$C = 0.75 * 2
$\Rightarrow$C = 1.5

Therefore, Initial Selling price of mango is Rs.2 and Cost price of each mango is Rs.1.5

Regards