If the price of oranges was raised by \( \frac{1}{2} \)k per orange. The number of oranges a customer can buy for ?2.40 will be less by 16. What is the pres...
Question 1 Report
If the price of oranges was raised by \( \frac{1}{2} \)k per orange. The number of oranges a customer can buy for ?2.40 will be less by 16. What is the present price of an orange?
Answer Details
Let x represent the price of an orange and
y represent the number of oranges that can be bought
xy = 240k, y = .....(i)
If the price of an oranges is raised by k per orange, number that can be bought for ?240 is reduced by 16
Hence, y - 16 =
=
= .....(ii)
subt. for y in eqn (ii) - 16
=
=
=
= (240 - 16x)(2x + 1)
= 480x
= 480x + 240 - 32x2 - 16
480x = 224 - 32x2
x2 = 7
x =
= 2.5
= 2k
y represent the number of oranges that can be bought
xy = 240k, y = .....(i)
If the price of an oranges is raised by k per orange, number that can be bought for ?240 is reduced by 16
Hence, y - 16 =
=
= .....(ii)
subt. for y in eqn (ii) - 16
=
=
=
= (240 - 16x)(2x + 1)
= 480x
= 480x + 240 - 32x2 - 16
480x = 224 - 32x2
x2 = 7
x =
= 2.5
= 2k
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