Question

A man buys 6 dozen oranges for Rs. 10.80, 12 oranges are found rotten and the rest are sold at five for a rupee, Find his gain or loss per cent.​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer:}}}}$

The Gain % of man is 11.11 %

$\mathfrak{\large{\underline{\underline{Step-by-step\: explanation:}}}}$

$\textsf{\underline{\underline{Given : }}}$

Oranges bought = 6 dozens

At = Rs. 10.80

Rotten organes = 12

Rest were sold at = Every 5 at Rs. 1

$\textsf{\underline{\underline{To find : }}}$

Its Loss or Gain

$\textsf{\underline{\underline{Solution :}}}$

As 12 oranges (1 dozen) was rotten, 5 dozens of oranges are good.

Here :

• Cost Price = Rs. 10.80
• Selling Price = ??
• Gain or Loss % = ??

$\rule{300}{1.5}$

$\bigstar\:{\textbf{\small{\underline{Selling Price of the Oranges -}}}}$

As given in the question, every 5 oranges were sold as Rs. 1.

Selling Price of each orange = Rs.$\sf{\dfrac{1}{5}}$

$\rule{300}{1.5}$

$\bigstar\:{\textbf{\small{\underline{Selling Price of all the oranges =}}}}$

$= \sf{ \frac{1}{5} \: of \: 60} \\ \\ = \sf{ \frac{1}{5} \times 60} \\ \\ = \sf1 \times 12 \\ \\ = \sf{12}$

Selling Price of all the oranges = Rs. 12

12 > 10.80

Selling Price > Cost Price

$\therefore$ It's a Gain !

$\rule{300}{1.5}$

$\bigstar\:{\textbf{\small{\underline{Gain \%:}}}}$

$\green{\boxed{\green{\boxed{\red{\sf{{Gain\% = \frac{SP - CP}{CP} \times 100}}}}}}}$

$\sf{\longrightarrow} \: {Gain\% = \frac{SP - CP}{CP} \times 100} \\ \\ \sf{\longrightarrow} \: {Gain\% = \frac{12 - 10.80}{10.80} \times 100} \\ \\ \sf{\longrightarrow} \: {Gain\% = \frac{1.2}{10.80} \times 100} \\ \\ \sf{\longrightarrow} \: {Gain\% = \frac{120}{10.80}} \\ \\ \sf{\longrightarrow} \: {Gain\% = \frac{120 \times 10}{10.8 \times 10}} \\ \\ \sf{\longrightarrow} \: {Gain\% = \frac{1200}{108}} \\ \\ \sf{\longrightarrow} \: {Gain\% = 11.11\%}$

$\therefore$ The Gain % of man is 11.11 %

Answer 2

Answer:

The Gain % of man is 11.11 %

Oranges bought = 6 dozens

At = Rs. 10.80

Rotten organes = 12

Rest were sold at = Every 5 at Rs. 1

Its Loss or Gain

As 12 oranges (1 dozen) was rotten, 5 dozens of oranges are good.

Here :

Cost Price = Rs. 10.80

Selling Price = ??

Gain or Loss % = ??

As given in the question, every 5 oranges were sold as Rs. 1.

Selling Price of each orange = Rs.

Selling Price of all the oranges = Rs. 12

12 > 10.80

Selling Price > Cost Price

It's a Gain !

The Gain % of man is 11.11 %

Step-by-step explanation: