Question

A fruit seller bought 300 oranges at 6 for Rs. 5 and sold them at 5 for Rs. 6. Find the profit or loss percentage

Answer 1

Answer:

$\bold{\boxed{Profit\%\:=\:44\%}}$

Step-by-step explanation:

Fruit seller bought at = 6 oranges for ₹5

∴ 1 orange = $\bold{\frac{5}{6}}$

He Bought 300 oranges.

∴ 300 oranges = $\bold{\frac{5\times300}{6}}$

∴ 300 oranges = $\bold{\frac{5\times50}{1}}$

∴ 300 oranges = ₹250. (Cost Price)

He sold them at 5 oranges = ₹6.

∴ 1 orange = $\bold{\frac{6}{5}}$

He Bought 300 oranges.

∴ 300 oranges = $\bold{\frac{6\times300}{5}}$

∴ 300 oranges = $\bold{\frac{6\times60}{1}}$

∴ 300 oranges = ₹360. (Selling Price)

∵ ₹360 > ₹250.

∴ This was clearly a Profit.

∴ Profit was = (Selling Price - Cost Price) = ₹360 - ₹250 =  ₹110

We know the formula of

$\bold{\boxed{Profit/Gain\%\:=\:\frac{Gain\times100}{Cost\:Price}}}$

$\bold{Profit\%\:=\:\frac{110\times100}{Cost\:Price}}$

$\bold{Profit\%\:=\:\frac{110\times100}{250}}$

$\bold{Profit\%\:=\:\frac{11000}{250}}$

$\bold{Profit\%\:=\:\frac{1100}{25}}$

$\bold{\boxed{Profit\%\:=\:44\%}}$

Thanks!  

Answer 2

Solutions :-

Given :
A fruit seller bought 300 oranges at 6 for Rs 5 and sold them at 5 for Rs 6.

Cost Price of 6 Oranges = Rs 5
Cost Price of 300 Orange = Rs (5 × 300)/6 = Rs 250

Selling price of 5 Oranges = Rs 6
Selling price of 300 Oranges = Rs (6 × 300)/5 = Rs 360

Selling Price is greater than the Cost price. Therefore, Gain.

Gain = S.P - C.P
= Rs (360 - 250)
= Rs 110

Gain % = (Gain× 100)/C.P %
= (110 × 100)/250 %
= 11000/250 %
= 44 %

Hence,
Gain percentage = 44%