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Addition and Subtraction of Algebraic Expression

Vijay had som...

Question

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.

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Solution

$L e t t h e n o o f b a n a n a s A h a s = x L e t t h e n o . o f b a n a n a s B h a s = y A m t h e g o t w i t h f i r s t p r i c i n g = \frac{x}{3} (2) + y (1) = 400 2 x + 3 y = 1200 2 x + 3 y = 1200 - > e q n 1 A m t h e g o t s e c o n d p r i c i n g = x (1) + \frac{y}{5} (4) = 460 5 x + 4 y = 2300 5 x + 4 y = 2300 - > e q n 2 E q n 1 \times 5 = 10 x + 15 y = 6000 E q n 2 \times 2 = 10 x + 8 y = 4600 S u b t r a c t i n g w e g e t : 7 y = 1400 y = 200 S u b y = 200 i n e q n 1 2 x + 3 y = 1200 2 x + 600 = 1200 2 x = 600 x = 300 T o t a l n o o f b a n a n a s = 200 + 300 = 500$

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Q. Question 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 Rs. 1 per banana and got a total of Rs. 400. If he had sold the first lot at the rate of Rs. 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.

Q. Vijay had some bananas , and he divided them into two lots A and B . He sold 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 per five bananas, his total collection would have been ₹460 . Find the total number of bananas he had .

Q. A fruit vendor buys some oranges at the rate of Rs.

5

per orange. He also buys an equal number of bananas at the rate of Rs.

2

per banana. He makes a

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% profit on orange and

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% profit on bananas. At the end of the day, all the fruit is sold out. His total profit is Rs.

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Q. A fruit seller bought 25 dozen bananas at Rs.12 per dozen. He sold 10 dozen bananas at Rs.15 per dozen and 12 dozen at Rs.10 per dozen. At what rate did he sell the rest of the bananas if he gained Rs.24 on the whole transaction?

Solve the following:

Byre Gowda earns Rs.400/- by selling bananas, at the rate of Rs. 12.50 per kg. Find the total weight of bananas sold by him.

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