Question

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 banana

Answer 1

40 rupee is cost for 1 dozen banana it is original price....

40*15 dozens =600
after 10 rupees increased per bannana
50*12 dozens=600

Answer 2

Heya

Let the actual cost on one dozen of bananas be x

Cost after increasing the price is x+10

Let the number of dozens bought(with the actual price) for 600 be y

After the hike in price, the number of dozens bought is y-3

(y-3)(x+10) = 600

we also know that before the increase in prices yx= 600

y=600/x

Substituting this in the first equation, we get

(600/x - 3)(x+10)= 600

(x+10)(600/x-3) = 600

(x+10)(600–3x)/x = 600

(10+x)(600 -3x) = 600x

6000 + 570x - 3x^2 = 600x

6000 - 30x - 3x^2 = 0

2000 - 10x - x^2 = 0

x^2 + 10x - 2000 = 0

(x+50)(x-40) = 0

We then get the values of x as -50 and 40

As the price cannot be a negative value, the price of one dozen of bananas is Rs 40