If the coast of banana is increase by 10 RS per dozen, one can get 3 dozen less for 600 RS . Find the original coast of one dozen of bananas.
Let the cost of banana per dozen be Rs.x.
Amount for which bananas are bought=Rs.600
No.of dozens of bananas for Rs.600=600/x
New cost of banana per dozen=Rs.(x+10)
New no.of dozens of bananas for Rs.600=600/x+10
According to given condition,
600/x-600/x+10=3
Now you can solve it and after that find x.
40
To solve this problem, let's break it down step by step:
1. Let's assume the original cost of one dozen of bananas is "x" RS.
2. According to the given information, if the cost of bananas increases by 10 RS per dozen, the new cost would be "x + 10" RS per dozen.
3. It is also given that due to this increase in cost, one can buy 3 dozen less for 600 RS. This means that the extra 10 RS per dozen costs 600 RS.
4. So, we can set up an equation using the above information:
Original cost of 1 dozen bananas + 3 dozen less * Extra cost per dozen = Total cost
x + 3(x + 10) = 600
5. Simplify and solve the equation:
x + 3x + 30 = 600
4x + 30 = 600
4x = 600 - 30
4x = 570
x = 570 / 4
x = 142.5 RS
6. Therefore, the original cost of one dozen bananas is 142.5 RS.