Question

A shopkeeper sold two pair of jeans for Rs 720 each gaining 20% on one and losing 20% on the other finding his gain or loss%

Answer 1

Sᴏʟᴜᴛɪᴏɴs :-

ɢɪᴠᴇɴ :- ᴀ sʜᴏᴘᴋᴇᴇᴘᴇʀ sᴏʟᴅ ᴛᴡᴏ ᴘᴀɪʀ ᴏғ ᴊᴇᴀɴs ғᴏʀ Rs 720 ᴇᴀᴄʜ.

Nᴏᴡ,

Gᴀɪɴɪɴɢ 20% ᴏɴ ᴏɴᴇ ᴘᴀɪʀ ᴏғ ᴊᴇᴀɴs ,

SP ᴏғ ᴏɴᴇ ᴘᴀɪʀ ᴏғ ᴊᴇᴀɴs = Rs 720

Pʀᴏғɪᴛ % = 20 %

CP = (100 × SP)/(100 + Pʀᴏғɪᴛ)

= (100 × 720)/(100 + 20)

= 72000/120

= 600

Aɢᴀɪɴ,

Lᴏssɪɴɢ 20% ᴏɴ ᴀɴᴏᴛʜᴇʀ ᴘᴀɪʀ ᴏғ ᴊᴇᴀɴs,

SP ᴏғ ᴀɴᴏᴛʜᴇʀ ᴘᴀɪʀ ᴏғ ᴊᴇᴀɴs = Rs 720

Lᴏss % = 20 %

CP = (100 × SP)/(100 + ʟᴏss)

= (100 × 720)/(100 - 20)

= 72000/80

= 900

Tᴏᴛᴀʟ CP ᴏғ ᴛᴡᴏ ᴘᴀɪʀ ᴏғ ᴊᴇᴀɴs

= Rs ( 600 + 900) = Rs 1500

Tᴏᴛᴀʟ SP ᴏғ ᴛᴡᴏ ᴘᴀɪʀ ᴏғ ᴊᴇᴀɴs

= Rs ( 720 + 720) = Rs 1440

ᴄᴏsᴛ ᴘʀɪᴄᴇ ɪs ɢʀᴇᴀᴛᴇʀ ᴛʜᴀɴ Sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ

Tʜᴇʀᴇғᴏʀᴇ, ʟᴏss

Lᴏss = CP - SP

= Rs (1500 - 1440)

= Rs 60

Lᴏss % = (ʟᴏss × 100)/CP %

= (60×100)/1500 %

= 6000/1500 %

= 4 %

Hᴇɴᴄᴇ,

Hɪs ʟᴏss ᴘᴇʀᴄᴇɴᴛ ɪs 4 %