Question

A lending library has a fixed charge for the first three days and a additional charge for each day thereafter. Saritha paid Rs.27 for a book kept for seven days, while Susy paid Rs.21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Answer 1

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✒ ᴀɴsᴡᴇʀ:-

⛄ ★ ғɪxᴇᴅ ᴄʜᴀʀɢᴇ = ʀs. 15

★ ᴄʜᴀʀɢᴇ ғᴏʀ ᴇᴀᴄʜ ᴇxᴛʀᴀ ᴅᴀʏ= ʀs 3

✒ sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:-

⛄ ★ ʟᴇᴛ ᴛʜᴇ ғɪxᴇᴅ ᴄʜᴀʀɢᴇ ʙᴇ ʀs. x ᴀɴᴅ

★ ᴛʜᴇ ᴇxᴛʀᴀ ᴄʜᴀʀɢᴇ ᴛᴀᴋᴇɴ ʙᴇ ʀs. ʏ

ɴᴏᴡ, ᴀs ᴘᴇʀ ᴛʜᴇ ɢɪᴠᴇɴ ᴄᴏɴᴅɪᴛɪᴏɴ,

★ x + 4ʏ = 27 ......→(ɪ)

ᴀɴᴅ

★ x + 2ʏ = 21 .....→(ɪɪ)

ᴏɴ sᴜʙᴛʀᴀᴄᴛɪɴɢ (ɪɪ) ғʀᴏᴍ (ɪ), ᴡᴇ ɢᴇᴛ

2ʏ = 6

=> ʏ = 3

ɴᴇxᴛ, ᴘᴜᴛᴛɪɴɢ ʏ ɪɴ (ɪ), ᴡᴇ ɢᴇᴛ

x + 4(3) = 27

=> x = 15

ᴛʜᴇʀᴇғᴏʀᴇ,

★ x = ʀs. 15 ᴀɴᴅ ʏ = ʀs. 3

ᴛʜᴇʀᴇғᴏʀᴇ,

★ ғɪxᴇᴅ ᴄʜᴀʀɢᴇ = 15 ʀs.

ᴀɴᴅ

★ ᴄʜᴀʀɢᴇ ғᴏʀ ᴇᴀᴄʜ ᴇxᴛʀᴀ ᴅᴀʏ =

ʀs. 3

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Answer 2

Step-by-step explanation:

Please refer the attachment!

Hope it helps!

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