Question

a Scooty is sold for rupees 13,600 and fetches a loss of 15% find the c. p of the scooty​

Answer 1

Answer:

Step-by-step explanation:

SP = 13600

Let CP = x

Loss = 15% of X

= 15x/100

=3x/20

Loss =Cp - SP

CP = SP + loss

x = 13600 + 3x/20

x - 3x/20 = 13600

17x/20 = 13600

17x = 13600 × 20 =272000

x = 272000/17

= Rs 16000

Cp = 16000

Pl mark brainliest

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

The Cost Price of the Scooty is Rs. 16,000.

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

Scooty sold at = Rs. 13,600

Loss occured = 15%

To find :

The Cost Price of the scooty

Solution :

Here,

• Selling Price (SP) = Rs. 13,600
• Loss % = 15%
• Cost Price (CP) = ?

★ ${\boxed{\sf\:{CP = \frac{100}{(100 - loss\%)} \times SP}}}$

$\sf{\implies} \: CP = \left( \dfrac{100}{100 - 15}\right) \times 13600$

$\sf{\implies} \: CP = \dfrac{100}{85} \times 13600$

$\sf{\implies} \: CP = \dfrac{1360000}{85}$

$\sf{\implies} \: CP = 16000$

$\therefore$ The Cost Price of the Scooty is Rs. 16,000.

$\rule{300}{1.5}$

$\textbf{\underline{\underline{Verification :-}}}$

As we got the Cost Price, we can verify it by solving for the loss %

★ ${\boxed{\sf\:{Loss\% = \frac{CP - SP}{CP} \times 100}}}$

$\sf{\implies} \: 15\% = \left(\dfrac{16000- 13600}{16000}\right) \times 100$

$\sf{\implies} \: 15\% = \dfrac{2400}{16000} \times 100$

$\sf{\implies} \: 15\% = \dfrac{240000}{16000}$

$\sf{\implies} \: 15\% = 15\%$

$\therefore$ The Cost Price of the Scooty is Rs. 16,000.