Question

(iv) Meena went to a bank to withdraw 2000. She asked the cashier to give her 50 and 100 notes only. Meena got 25 notes in all. Find how many notes of 50 and 100 she received.
(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.




please solve step by step​

Answer 1

Answer:

iv)-

Let no. of Rs. 50 notes = x

   no. of Rs. 100 notes = y

Total notes = 25

⇒ x + y = 25

⇒ x = 25-y

total amount only in Rs. 50 notes = 50x

total amount only in Rs. 100 notes = 100y

Total amount = 2000

⇒ 50x + 100y = 2000

⇒50(25-y) + 100y = 2000

⇒50×25 - 50y + 100y = 2000

⇒1250 +50 y = 2000

⇒ 50y = 2000-1250 = 750

⇒ y = 750/50 = 15

   x = 25-15 = 10

No. of Rs. 50 notes = 10

No. of Rs. 100 notes = 15

v)-

Let the fixed charge for first three days and each day charge thereafter be Rs x and Rs yrespectively.

According to the question,

x + 4y = 27 ... (i)

x + 2y = 21 ... (ii)

Subtracting equation (ii) from equation (i), we get

2y = 6

y = 3 ... (iii)

Putting in equation (i), we get

x + 12 =27

x = 15

Hence, fixed charge = Rs 15 and Charge per day = Rs 3.

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