(V) A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid? 27 fo

Question

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

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Aaliyah 1 month 2021-08-16T04:35:55+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-16T04:37:00+00:00

    Answer:

    Let the fixed charge be Rs. x

    and the extra charge be Rs. y

    x+4y=27⟶(i)

    x+2y=21⟶(ii)

    On substracting (i) and (ii),

    2y=6

    y=3

    putting y in (i),

    x+4(3)=27

    x=15

    ∴x=Rs.15 and y=Rs. 3

    ∴ Fixed charge =Rs. 15

    ∴ Charge for each extra day =Rs. 3 .

    0
    2021-08-16T04:37:07+00:00

    \huge\fcolorbox{black}{aqua}{Solution:-}

    ✒ 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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