Question

Find the profit or loss %
1: C.P =₹1200
S.P = ₹1440
(Answer = 20%
Is the answer Correct or wrong) ​

Answer 1

Answer:

correct

Step-by-step explanation:

Correct option is

A

25

Cost price of the cycle =1200

Selling price of the cycle =1500

SP>CP ⟹ there is a gain.

⟹Gain=SP−CP=1500−1200=300

∴ Gain Percentage =

CP

Gain

(100)=

1200

300

×100=25%

∴ The shopkeeper makes a profit of 25%.

Answer 2

Solution :

Cost Price (CP) = Rs. 1200 and,

Selling Price (SP) = Rs. 1440

$\begin{gathered} \end{gathered}$

Since Cost Price < S$\begin{gathered} \end{gathered}$elling Price, there is a Profit.

$\boxed {\mathtt{Profit = Selling\: Price - Cost\: Price}}$

Profit = Rs. (1440 - 1200) = Rs. 240

$\begin{gathered} \end{gathered}$

$\begin {aligned} \bold {Profit\%} &= \mathtt {\Big (\dfrac{Profit}{Cost\: Price}\times 100 \Big )\%}\\\\&= \Big (\dfrac{24 \not 0}{12 \not 0 \not 0}\times 10 \not 0\Big )\% = \bf 20\% \end{aligned}$

$\begin{gathered} \end{gathered}$

Hence, the Profit% is = 20%

$\begin{gathered} \end{gathered}$

Additional Information :

More Formulae :-

(i) $\mathtt{Loss = Cost\: Price - Selling\: Price}$

(ii) $\mathtt{Loss\% = \Big (\dfrac{Loss}{Cost\: Price}\times 100\Big )\%}$

$\begin{gathered} \end{gathered}$

(iii) To find SP when CP and Gain% or Loss% are given :

a. $\mathtt {Selling\: Price = \dfrac{(100 + Profit\%)}{100} \times Cost\: Price}$

b. $\mathtt{Selling\: Price = \dfrac{(100 - Loss\%)}{100} \times Cost\: Price}$

$\begin{gathered} \end{gathered}$

(iv) To find CP when SP and Gain% or Loss% are given :

a.$\mathtt{Cost\:Price = \dfrac{100}{(100 + Gain\%)} \times Selling\:Price}$

b. $\mathtt {Cost\:Price = \dfrac{100}{(100 - Loss\%)}\times Selling\: Price}$