Question

Ajay buys a radio set for rupees 400, and sell it to Vijay at a profit of 20%. what does Vijay for the radio set?​

Answer 1

Correct Question :

Ajay buys a radio set for rupees 400, and sell it to Vijay at a profit of 20%. What does it cost Vijay for the radio set?

AnswEr :

• CP of Radio = Rs. 400
• Profit = 20%
• SP of Radio = ?

• According to Formula Now ;

$\leadsto\sf{SP =CP \times \dfrac{(100 + Profit)}{100}}$

• Plugging the Values

$\leadsto\sf{SP =4 \cancel{00} \times \dfrac{(100 + 20)}{1 \cancel{00}}}$

$\leadsto\sf{SP =4 \times 120}$

$\leadsto\sf{SP = Rs.\: 480}$

⠀

$\therefore$ It will Cost Rs. 480 to Vijay.

_________________________________

• $\underline\mathfrak{Verification : }$

$\Rightarrow\sf{SP \times \dfrac{100}{(100 + Profit)} =CP}$

$\Rightarrow\sf{480 \times \dfrac{100}{(100 +20)} =400}$

$\Rightarrow\sf{ \cancel{480} \times \dfrac{100}{ \cancel{120}} =400}$

$\Rightarrow\sf{4 \times 100 = 400}$

$\Rightarrow\sf{400 = 400 \: \: \: \: \underline{ \text{Hence, Verified}}}$

Answer 2

Answer:

Cost of radio for vijay = Selling price of radio = rs 480.

Step-by-step explanation:

Given,

CP of radio = rs 400

P % of radio = 20 %

By applying formula of selling price (S.P)

We have,

$selling \: price \: of \: radio \: = \: cost \: price \: of \: radio \: \frac{(100 \: + \: profit \: \%)}{100} \\ selling \: price \: of \: radio \: \: = \: 400 \: \times \: \frac{(100 \: + 20 )\: }{100} \\ \\ selling \: price \: of \: radio \: \: = \: 400 \: \times \frac{120}{100} \: \: \\ \: selling \: price \: of \: radio \: = \: \frac{48000}{100} \\ \ selling \: price \: of \: radio = \: rs \: 480$

Here,

CP of radio is the cost price of radio

P % of radio is profit % of radio

Selling price of radio is rs 480

Cost of radio for vijay = Selling price of radio = rs 480.