SSC (Marathi Semi-English) 10thMaharashtra State Board
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# 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

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#### 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.
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