Question

A selles to B a scooter at a profit of 30%, B sells it to C at a loss of 20% what profit did A earn if C
paid 1040 for the scooter ?​

Answer 1

Question ⤵

A sᴇʟʟᴇs ᴛᴏ B ᴀ sᴄᴏᴏᴛᴇʀ ᴀᴛ ᴀ ᴘʀᴏғɪᴛ ᴏғ 30%, B sᴇʟʟs ɪᴛ ᴛᴏ C ᴀᴛ ᴀ ʟᴏsᴛ ᴏғ 20%.

ᴡʜᴀᴛ ᴘʀᴏғɪᴛ ᴅɪᴅ A ᴇᴀʀɴ ɪғ C ᴘᴀɪᴅ 1040 ғᴏʀ ᴛʜᴇ sᴄᴏᴏᴛᴇʀ?

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ʟᴇᴛ ᴛʜᴇ ᴄᴏsᴛ ᴘʀɪᴄᴇ ғᴏʀ 'A' ʙᴇ 'x'

ᴘʀᴏғɪᴛ % = 30%

$\because$ sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = ᴄᴏsᴛ ᴘʀɪᴄᴇ + 30 % ᴏɴ x

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = x + $\frac{30}{100}$ × 3

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = x + 0.3x

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 1.3x

A sᴇʟʟs ᴛᴏ B sᴄᴏᴏᴛᴇʀ ⤵

$\because$ ᴄᴏsᴛ ᴘʀɪᴄᴇ ᴏғ B ɪs 1.3x

B sᴇʟʟs ᴛᴏ C ᴀᴛ ᴀ ʟᴏsᴛ ᴏғ 20%

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 1.3x - 20% ᴏɴ 1.3x

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 1.3x - $\frac{20}{100}$ × 1.3x

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 1.3x- 0.26x

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 1.04x

Gɪᴠᴇɴ,

C ᴘᴀɪᴅ 1040 ғᴏʀ ᴛʜᴇ sᴄᴏᴏᴛᴇʀ

1.04x = 1040

x = 1000

Cᴏsᴛ ᴘʀɪᴄᴇ ᴏғ B ⤵

1.3x = 1000 => 1.3 (1000)

=> 1300

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Answer 2

Answer:

ʟᴇᴛ ᴛʜᴇ ᴄᴏsᴛ ᴘʀɪᴄᴇ ғᴏʀ 'A' ʙᴇ 'x'

ᴘʀᴏғɪᴛ % = 30%

\because∵ sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = ᴄᴏsᴛ ᴘʀɪᴄᴇ + 30 % ᴏɴ x

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = x + \frac{30}{100}

100

30

× 3

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = x + 0.3x

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 1.3x

A sᴇʟʟs ᴛᴏ B sᴄᴏᴏᴛᴇʀ ⤵

\because∵ ᴄᴏsᴛ ᴘʀɪᴄᴇ ᴏғ B ɪs 1.3x

B sᴇʟʟs ᴛᴏ C ᴀᴛ ᴀ ʟᴏsᴛ ᴏғ 20%

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 1.3x - 20% ᴏɴ 1.3x

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 1.3x -

$\frac{20}{100}$

× 1.3x

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 1.3x- 0.26x

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ = 1.04x

Gɪᴠᴇɴ,

C ᴘᴀɪᴅ 1040 ғᴏʀ ᴛʜᴇ sᴄᴏᴏᴛᴇʀ

1.04x = 1040

x = 1000

Cᴏsᴛ ᴘʀɪᴄᴇ ᴏғ B ⤵

1.3x = 1000 => 1.3 (1000)

=> 1300