## (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​

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

## Answers ( )

1. 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 .

2. ✒ 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

___________________________