Question

The cost price of 5 mangoes is equal to the selling price of 2 mangoes. Find the profit percent?​

Answer 1

Step-by-step explanation:

Given :-

The Cost Price of 5 mangoes is equal to the Selling Price of 2 mangoes

To find :-

The Profit Percentage.

Solution:-

Let the selling price of one mango be Rs.X

Then the selling price of 2 mangoes

= Rs. 2X

The cost Price of 5 mangoes = Rs. 2X

=> Cost Price of 1 mango = Rs. 2X/5

We know that

Profit = Selling Price - Cost Price

=> Profit = X-(2X/5)

=> Profit = (5X-2X)/5

=> Profit = 3X/5

Therefore, Profit = Rs. 3X/5

We know that

Profit % = (Profit / Cost Price)×100

=> Profit % ° [(3X/5)/(2X/5)]×100

=> Profit % = (3X/2X)×100

=> Profit % = (3/2)×100

=> Profit % = 300/2

=> Profit % = 150%

Therefore, Profit % = 150%

Alternative Method :-

Alternative Method :-If the CP of M articles is equal to the SP of N articles then Profit %

= [ (M-N)/N ]×100

We have,

M = 5

N = 2

Profit % = [(5-2)/2]×100

=> Profit % = (3/2)×100

=> Profit % = 300/2

=> Profit % = 150%

Therefore, Profit % = 150%

Answer :-

The Profit Percentage is 150%

Used formulae:-

→ If the CP of M articles is equal to the SP of N articles then Profit %

= [ (M-N)/N ]×100

→ Profit = Selling Price - Cost Price

→ Profit % = (Profit / Cost Price)×100

Answer 2

We have given that The Cost price of 5 mangoes is equal to the Selling price of 2 mangoes. And we have been asked to find the Profit Percent.

Let, the Selling price of 1 mango be $\sf{Rs.\:x}$

Then, The Selling price of 2 mangoes would be = $\sf{Rs.\:2x}$

We know that,

Cost Price of 5 mangoes = $\sf{Rs.\:2x}$

Then, Cost Price of 1 mango would be = $\sf{Rs.\:{\dfrac{2x}{5}}}$.

Profit Formula,

${\boxed{\bullet\:{Profit\:=\:Selling\:price\:-\:Cost\:price}}}$

$\sf\implies{x\:-\:{\dfrac{2x}{5}}}$

$\sf\implies{{\dfrac{x}{1}}\:-\:{\dfrac{2x}{5}}}$

$\sf\implies{{\dfrac{5x\:-\:2x}{5}}}$

$\sf\implies{{\dfrac{3x}{5}}}$

Profit Percent Formula,

${\boxed{\bullet\:{Profit\:Percent={\dfrac{Profit}{Cost\:Price}}\:\times\:100}}}$

Substituting values in Formula, we get,

$\sf\implies{{\dfrac{{\dfrac{3x}{5}}}{{\dfrac{2x}{5}}}}\:\times\:100}$

$\sf\implies{{\dfrac{3x}{5}}\:\times\:{\dfrac{5}{2x}}\:\times\:100}$

$\sf\implies{{\dfrac{3\:\times\:100}{2}}}$

$\sf\implies{{\dfrac{300}{2}}}$

$\sf\implies{150}$

Hence, the Profit Percent is 150 %.