A day full of math games & activities. Find one near you.

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

Solution:

Let us consider the number of bananas in lot A be x.

Let us consider the number of bananas in lot B to be y.

Case I:

First lot cost at the rate of ₹ 2 for 3 bananas + Second lot cost at the rate of ₹1 per banana = ₹ 400

2/3x + y = 400

2x + 3y = 1200---------------(1)

Case II:

First lot cost at the rate ₹1 per banana + Second lot cost at the rate of ₹4 for 5 bananas = Amount received

x + 4/5 y = 460

5x + 4y = 2300----------------(2)

Solve the linear equations (1) and (2)

Multiplying in (1) by 4 and (2) by 3 and then subtracting them, we get,

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

- 7x = - 2100

x = 300.

Substitute the value of x in (1), we get

2 x 300 + 3y = 1200

600 + 3y = 1200

3y = 1200 - 600

3y = 600

y = 200.

Total number of bananas = Number of bananas in lot A + Number of bananas in lot B

Total number of bananas = x + y

Total number of bananas = 300 + 200

Total number of bananas = 500.

Therefore, he had 500 bananas.

✦ Try This: Vijay had some bananas, and he divided them into two lots A and B. He sold the first lot at the rate of Rs 3 for 4 bananas and the second lot at the rate of Re 1 per banana, and got a total of Rs 500. If he had sold the first lot at the rate of Re 1 per banana, and the second lot at the rate of Rs 4 for 5 bananas, his total collection would have been Rs 450. Find the total number of bananas he had

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

NCERT Exemplar Class 10 Maths Exercise 3.4 Problem 13

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

Summary:

Vijay had some bananas, and he divided them into two lots A and B. He sold the first lot at the rate of Rs 2 for 3 bananas and the second lot at the rate of Re 1 per banana, and got a total of Rs 400. If he had sold the first lot at the rate of Re 1 per banana, and the second lot at the rate of Rs 4 for 5 bananas, his total collection would have been Rs 460. He had 500 bananas

☛ Related Questions: