2 pens and 3 pencils cost ₹35, and 3 pens and 2 pencils cost ₹40. Find the cost of 3 pencils.
Given
2 pens and 3 pencils cost ₹35
3 pens and 2 pencils cost ₹40
Solution
Let the cost of 1 pen be x and 1 pencil be y.
Equation 1: 2x + 3y = 35
Equation 2: 3x + 2y = 40
Multiply Equation 1 by 3: 6x + 9y = 105
Multiply Equation 2 by 2: 6x + 4y = 80
Subtract the modified Equation 2 from Equation 1:
(6x + 9y) - (6x + 4y) = 105 - 80
5y = 25
y = 5 (Cost of 1 pencil)
Cost of 3 pencils = 3 × 5 = 15
Final Answer
So the correct answer is (d)
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins English2 pens and 3 pencils cost ₹35, and 3 pens and 2 pencils cost ₹40. Find the cost of 3 pencils.
The cost of 2 balls and 3 bats is ₹84. The cost of 3 balls and 1 bat is ₹63. What is the cost of 5 balls and 3 bats?
The cost of 12 pens and 7 pencils is ₹285. If the cost of a pen decreases by ₹6 and the cost of a pencil increases by ₹5, then the cost of 11 pens and 3 pencils is ₹118. What is the original cost of 2 pens and 2 pencils?
If one root of the quadratic equation ax² + bx + c = 0 is the reciprocal of the other, then which of the following is correct?
18 chairs and 4 tables cost ₹7,100 and 18 chairs and 7 tables cost ₹7,700. What is the cost of 18 chairs and 5 tables?
Mahesh withdrew ₹3,100 from a bank. He received a total of 34 notes of ₹50 and ₹100 denominations. The number of ₹50 notes received by him was:
15 chairs and 3 tables cost ₹7,800 and 14 chairs and 6 tables cost ₹9,200. What is the cost of 17 chairs and 18 tables?
The cost of 4 pens and 5 pencils is ₹193 and the cost of 3 pens and 6 pencils ₹165. The cost of 4 pens and 6 pencils is:
The cost of 3 pens and 12 notebooks is ₹195. The cost of 7 notebooks exceeds the cost of 4 pens by ₹39. What is the cost of 12 pens and 6 notebooks?
3 bags and 6 pens together cost ₹744, whereas 9 bags and 9 pens together cost ₹1,854. The cost of 6 bags exceeds the cost of 10 pens by:
Suggested Test Series
Suggested Test Series
2 pens and 3 pencils cost ₹35, and 3 pens and 2 pencils cost ₹40. Find the cost of 3 pencils.
The cost of 2 balls and 3 bats is ₹84. The cost of 3 balls and 1 bat is ₹63. What is the cost of 5 balls and 3 bats?
The cost of 12 pens and 7 pencils is ₹285. If the cost of a pen decreases by ₹6 and the cost of a pencil increases by ₹5, then the cost of 11 pens and 3 pencils is ₹118. What is the original cost of 2 pens and 2 pencils?
If one root of the quadratic equation ax² + bx + c = 0 is the reciprocal of the other, then which of the following is correct?
18 chairs and 4 tables cost ₹7,100 and 18 chairs and 7 tables cost ₹7,700. What is the cost of 18 chairs and 5 tables?
Mahesh withdrew ₹3,100 from a bank. He received a total of 34 notes of ₹50 and ₹100 denominations. The number of ₹50 notes received by him was:
15 chairs and 3 tables cost ₹7,800 and 14 chairs and 6 tables cost ₹9,200. What is the cost of 17 chairs and 18 tables?
The cost of 4 pens and 5 pencils is ₹193 and the cost of 3 pens and 6 pencils ₹165. The cost of 4 pens and 6 pencils is:
The cost of 3 pens and 12 notebooks is ₹195. The cost of 7 notebooks exceeds the cost of 4 pens by ₹39. What is the cost of 12 pens and 6 notebooks?
3 bags and 6 pens together cost ₹744, whereas 9 bags and 9 pens together cost ₹1,854. The cost of 6 bags exceeds the cost of 10 pens by:
