1.

A fruit seller has certain number of oranges. He divides them into two lots A and B. He sells the lot at 3 oranges for Rs. 2 and the lot B at 1 oranges for Rs. 1. Thus he gets Rs. 400, if he had sold the first lot at 1 oranges for Rs. 1 and the second lot B at 5 oranges for Rs. 4, he would have got Rs. 460. Find the total number of oranges.

Answer»

SOLUTION :First of all we make a rough sketch. Let the number of oranges in lot A and B are X and y respectively.

SUBTRACTING equation (1) from (2), we get
Subtracting equation (1) from (2), we get
7x = 2100 implies x = 300
Putting x = 300 in equation (1), we get
`(2)/(3) (300) + y = 400 impliesy = 200`
`therefore`Total number of oranges= x + y = 300 + 200 = 500


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