Question

find the SP when CP equals to rupees 720 loss is equals to 83 by 4%


please explain me this as fast as you can​

Answer 1

✬ Selling Price = Rs 570.6 ✬

Step-by-step explanation:

Given:

• Cost price given is Rs 720.
• Loss % given is 83/4%.

To Find:

• What is Selling Price ?

Solution: Let Selling Price be Rs S.P. To find S.P when C.P and Loss % are given we use the formula.

➪ Loss % = 83/4 = 20.75%

★ S.P = (100 – Loss%)/100 $\times$ C.P ★

$\implies{\rm }$ S.P = (100 – 20.75)/100 $\times$ 720

$\implies{\rm }$ S.P = 79.25/100 $\times$ 720

$\implies{\rm }$ S.P = 57060/100

$\implies{\rm }$ S.P = Rs 570.6

Hence, the Selling Price is Rs 570.6.

______________

★ Lets Check ★

➯ Loss = (C.P – S.P)

• Loss = (720 – 570.6) = Rs 149.4

➯ Loss % = (Loss/C.P $\times$ 100)

• 20.75 % = (149.4/720 $\times$ 100)

•. 20.75 % = 14940/720

•. 20.75 % = 20.75 %

[ Verified ]

Answer 2

Given that ,

Cost price (CP) = Rs 720

Loss percentage = 83/4 %

We know that ,

$\sf \large \fbox{Loss \: \% = \frac{CP - SP}{CP} \times 100 }$

$\sf \mapsto \frac{83}{4} = \frac{720 -SP }{720} \times 100 \\ \\\sf \mapsto 83 \times 9 =360 0 - 5(SP) \\ \\\sf \mapsto 5(SP)= 3600 - 747 \\ \\ \sf \mapsto SP = \frac{2853}{5} \\ \\\sf \mapsto SP = Rs \: \: 570.6$

$\therefore \sf \underline{The \: selling \: price \: is \: Rs \: 570.6 \: }$