Q5 of 23 Page 1

Attempt any two of the following subquestions:

If the cost of bananas is increased by 10 per dozen, one can get 3 dozen less for 600. Find the original cost of one dozen of bananas.

Let the original cost of dozen of bananas = x

Original number of dozens bought for 600 = 600/x


Now cost increases by 10,


New cost = x + 10


Now number of dozens bought = 600/(x + 10)


Given that,



⇒


⇒


⇒ 2000 = x(x + 10)


⇒x2 + 10x - 2000 = 0


⇒ x2 + 50x - 40x - 2000 = 0


⇒ x(x + 50) - 40(x + 50) = 0


⇒ (x - 40)(x + 50) = 0


⇒ x = 40 and x = - 50(rejected)


∴ Original cost of one dozen of bananas = 40.


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Attempt any two of the following subquestions:

Solve the following simultaneous equations: