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1.	A lending library has a fixed charge for the first three days and an 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» Solution: Let the fixed charge for first three days and each day charge thereafter be Rs x and Rs y respectively. 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.

A lending library has a fixed charge for the first three days and an 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»

Solution:

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

Discussion

2.	Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received.
Answer» Solution: Let the number of Rs 50 notes and Rs 100 notes be x and y respectively. According to the question, x + y = 25 ... (i) 50x + 100y = 2000 ... (ii) Multiplying equation (i) by 50, we get 50x + 50y = 1250 ... (iii) Subtracting equation (iii) from equation (ii), we get 50y = 750 y = 15 Putting this value in equation (i), we have x = 10 Hence, Meena has 10 notes of Rs 50 and 15 notes of Rs 100.

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

Answer»

Solution:

Let the number of Rs 50 notes and Rs 100 notes be x and y respectively.
According to the question,
x + y = 25 ... (i)
50x + 100y = 2000 ... (ii)
Multiplying equation (i) by 50, we get
50x + 50y = 1250 ... (iii)
Subtracting equation (iii) from equation (ii), we get
50y = 750
y = 15
Putting this value in equation (i), we have x = 10
Hence, Meena has 10 notes of Rs 50 and 15 notes of Rs 100.

Discussion