Q. 134.0( 21 Votes )

Vijay had some bananas and he divided them into two lots A and B. He sold the first lot at the rate of ₹ 2 for 3 bananas and the second lot at the rate of ₹ 1 per banana and got a total of ₹ 400. If he had sold the first lot at the rate of ₹ 1 per banana and the second lot at the rate of ₹ 4 for 5 bananas, his total collection would have been ₹ 460. Find the total number of bananas he had.

Let the number of bananas in lot A and B be x and y, respectively

Case I :

Cost of the first lot at the rate of ₹ 2 for 3 bananas + Cost of the second lot at the rate of ₹ 1 per banana = Amount received

…(i)

Case II :

Cost of the first lot at the rate of ₹ 1 per banana + Cost of the second lot at the rate of ₹ 4 for 5 bananas = Amount received

…(ii)

On multiplying in Eq. (i) by 4 and Eq. (ii) by 3 and then subtracting them, we get

(8x + 12y) – (15x + 12y) = 4800 – 6900

- 7x = - 2100

x = 300

Now, put the value of in Eq. (i), we get

2(300) + 3y = 1200

3y = 600

y = 200

Total number of bananas = Number of bananas in lot Number of bananas in lot B = x + y

x + y = 300 + 200 = 500

Hence, he had 500 bananas.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Pair of Linear Equations in Two Variables46 mins
Dealing With the Real Life Problems53 mins
Learn to Solve Real Life Problems Using Linear Equations in Two Variables36 mins
Quiz | Real Life Problems Through Linear Equations56 mins
Quiz | Solution of Linear Equations53 mins
Champ Quiz | Consistency and Inconsistency of Solutions36 mins
Emphasizing on Elimination Method48 mins
Dealing with the Real Life Problems54 mins
Elimination (quicker than quickest)44 mins
Algebraic Methods to Solve Pair of Linear Equation44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :