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Solution


Q.

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

Ans.

(500)

Let the number of chocolates in lot A be x

And let the number of chocolates in lot B be y

∴ total number of chocolates = x + y

Price of 1 chocolate = Rs. 2/3 , so for x chocolates = 23x

and price of y chocolates at the rate of Rs.1 per chocolate = y.

∴ by the given condition 23x+y=400⇒2x+3y=1200   ............ (i)

Similarly, x+45y=460⇒5x+4y=2300   ............. (ii)

Solving (i) and (ii) we get x = 300 and y = 200

∴ x + y = 300 + 200 = 500

So, Anuj had 500 chocolates.