Dipesh bought 3 notebooks and 2 pens for Rs. 80. His friend Ramesh said that price of each
notebook could be Rs. 25. Then three notebooks would cost Rs.75, the two pens would cost Rs.
5 and each pen could be for Rs. 2.50. Another friend Amar felt that Rs. 2.50 for one pen was
too little. It should be at least Rs. 16. Then the price of each notebook would also be Rs.16.
Lokesh also bought the same types of notebooks and pens as Dipesh. He paid 110 for 4
notebooks and 3 pens.
a. Let the cost of one notebook be x and that of a pen be y. Which of the following set describe
the given problem?
(i) 2x + 3y=80 and 3x+4y=110
(ii) 3x+2y=80 and 4x+3y=110
(iii) 2x+2y=100 and 3x+2y=75 (iv) x+y=100 and x+y= 75
b. Whether the estimation of Ramesh and Amar is applicable for Lokesh?
(i)Ramesh’s estimation is wrong but Amar’s estimation is correct.
(ii)Ramesh’s estimation is correct but Amar’s estimation is wrong.
(iii)Both estimation are correct.
(iv)Ramesh’s estimation is wrong but Amar’s estimation is also wrong
c. What is the exact cost of the notebook?
(i)Rs 10
(ii) Rs 20
(iii) Rs 16
(iv) Rs 24
d. What is the exact cost of the pen?
(i)Rs 10
(ii) Rs 20
(iii) Rs 16
(iv) Rs 24
e. What is the total cost if they will purchase the same type of 15 notebooks and 12 pens.
(i) Rs 410
(ii) Rs 200
(iii) Rs 420
(iv) Rs 240
Answers
Answer:
2x + 3y=80 and 3x+4y=110
Step-by-step explanation:
Let the cost of one notebook be x and that of a pen be y. Which of the following set describe
the given problem?
(i) 2x + 3y=80 and 3x+4y=110
(ii) 3x+2y=80 and 4x+3y=110
(iii) 2x+2y=100 and 3x+2y=75 (iv) x+y=100 and x+y= 75
b. Whether the estimation of Ramesh and Amar is applicable for Lokesh?
(i)Ramesh’s estimation is wrong but Amar’s estimation is correct.
(ii)Ramesh’s estimation is correct but Amar’s estimation is wrong.
(iii)Both estimation are correct.
(iv)Ramesh’s estimation is wrong but Amar’s estimation is also wrong
c. What is the exact cost of the notebook?
(i)Rs 10
(ii) Rs 20
(iii) Rs 16
(iv) Rs 24
d. What is the exact cost of the pen?
(i)Rs 10
(ii) Rs 20
(iii) Rs 16
(iv) Rs 24
Answer:
a. Let the cost of one notebook be x and that of a pen be y. Which of the following set describe the given problem?
(ii) 3x+2y=80 and 4x+3y=110
b. Whether the estimation of Ramesh and Amar is applicable for Lokesh?
(iii)Both estimation are correct.
c. What is the exact cost of the notebook?
(ii) Rs 20
d. What is the exact cost of the pen?
(i)Rs 10
e. What is the total cost if they will purchase the same type of 15 notebooks and 12 pens.
(iii) Rs 420