SSC (Marathi Semi-English) 10thMaharashtra State Board
Share
Notifications

View all notifications

If the cost of bananas is increased by Rs. 10 per dozen, one can get 3 dozen less for Rs.600. Find the original cost of one dozen of bananas. - SSC (Marathi Semi-English) 10th - Algebra

Login
Create free account


      Forgot password?

Question

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

Solution

Let x be the original cost of a dozen bananas.
For Rs. 600 let us one gets y dozens.
`xy =600` .................... (1)

`y=600/x`

By increasing the cost of 1 dozen of bananas by Rs. 10 we get 3 dozen less bananas

`(x +10)(y - 3)=600 ` ............................(2)

Substituting the y value in (2), we get

`(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`

`3(x^2+10x-2000)=0`

`x^2+10x-2000=0`

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

`x=-50 or 40`

Since cost of bananas cannot be negative, x = 40.

So, the original cost of one dozen of bananas is Rs.40

 

  Is there an error in this question or solution?

APPEARS IN

Solution If the cost of bananas is increased by Rs. 10 per dozen, one can get 3 dozen less for Rs.600. Find the original cost of one dozen of bananas. Concept: Simple Situational Problems.
S
View in app×