Question

1. A person buys a book for 200 and sells
it for 225. What will be his gain per
cent?

(a) 13%
(b) 14%
(c) 18.4%
(d) 12.5%​

Answer 1

Answer :-

• The profit percentage of the book is 12.5%.

[ Option. (d) ] is correct.

Step-by-step explanation:

To Find :-

• The gain percentage of the book

Solution:

Given that,

• Cost price of a book = Rs. 200
• Selling price of the book = Rs. 225

Therefore, The profit :-

As we know that,

Profit = S.P. - C.P.

Where,

• S.P. = Selling price
• C.P. = Cost Price

=> Profit = ( S.P. - C.P. )

=> Rs. 225 - Rs. 200

=> Rs. ( 225 - 200 )

=> Rs. 25

Now, The profit percentage is,

As we know that,

Profit percentage = { Profit/Cost Price} × 100,

=> { 25/200 } × 100

Cancelling the common zeros of 200 and 100

=> 25/2

=> 12.5

Hence,

• The profit percentage of the book is 12.5%.

Know more :-

Some more information related to profit and loss :-

• Profit = Selling price - Cost Price
• Loss = Cost Price - Selling price
• Profit percentage = { Profit/Cost Price } × 100
• Loss percentage = { Loss/Cost Price } × 100.

Answer 2

$\underline{\bf{Given:}}$

• Cost price of book = 200

• Selling price of book = 225

$\underline{\bf{To~Find: }}$

• Gain percent

$\underline{\bf{Solution:}}$

To find Gain percentage first we should know value of Gain

So first let's find Gain

we know:

$\bigstar \boxed{ \rm{}Gain = Selling \: price - Cost \: price }$

By using using this formula we can find value of Gain

$\dashrightarrow \sf{}Gain = Selling \: price - Cost \: price$

$\dashrightarrow \sf{}Gain = 225 - 200$

$\dashrightarrow \sf{}Gain = 25$

Now Let's find Gain

we know:

$\bigstar \boxed{ \rm{}Gain\% = \frac{Gain}{ Cost \: price} \times 100}$

By using this formula we can find value Gain percent

$\dashrightarrow\sf{}Gain\% = \dfrac{Gain}{ Cost \: price} \times 100$

$\dashrightarrow\sf{}Gain\% = \dfrac{25}{ 200} \times 100$

$\dashrightarrow\sf{}Gain\% = \dfrac{25}{ 2\cancel{00}} \times 1\cancel{00}$

$\dashrightarrow\sf{}Gain\% = \dfrac{25}{ 2} \times 1$

$\dashrightarrow\sf{}Gain\% = \dfrac{25}{ 2}$

$\dashrightarrow \underline{ \boxed{\sf{}Gain\% = 12.5\%}}$

$\therefore\underline {\textsf{Option d i.e 12.5 \% is correct}}$

know more

▪︎Loss = C.P - S.P

▪︎Profit = S.P - C.P

▪︎ Profit % = (Profit/C.P) × 100

▪︎ Loss % = (Loss/C.P) × 100

▪︎ S.P = [(100 + P%)÷100]×100

▪︎ Profit = (P% ×C.P)÷100