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If the price of oranges was raised by 12k per o...

If the price of oranges was raised by 12k per orange. The number of oranges a customer can buy for N2.40 will be less by 16. What is the present price of an orange?

A.

212

B.

215

C.

513

D.

20

Correct answer is A

Let x represent the price of an orange and

y represent the number of oranges that can be bought

xy = 240k, y = 240x.....(i)

If the price of an oranges is raised by 12k per orange, number that can be bought for N240 is reduced by 16

Hence, y - 16 = \frac{240}{x + \frac{1}{2}

= 4802x+1

= 4802x+1.....(ii)

subt. for y in eqn (ii) 240x - 16

= 4802x+1

= 24016xx

= 4802x+1

= (240 - 16x)(2x + 1)

= 480x

= 480x + 240 - 32x2 - 16

480x = 224 - 32x2

x2 = 7

x = 7

= 2.5

= 212k