the cost of 2kg oranges is 3/2times the cost of 1kg of mangoes. if a man purchased 4kg of oranges and 2kg of mangoes for 250rs, then find the cost of oranges per kg and the cost of mangoes per kg?
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Answer:
Step-by-step explanation:
Cost of oranges and mangoes, each per kg=Rs.40
Amount paid daily for mangoes and oranges each =Rs.1200
⇒
40
1200
=30kg
Thus, the merchant got 30kg of oranges and mangoes each that day.
Let the price of mango be Rs.x next day.
⇒ Price of orange next day = Rs.(x+10
From the information given in the problem, we have
x
1200
−
x+10
1200
=20
⇒
x
60
−
x+10
60
=1
60x+600−60x=x(x−10)
⇒600=x
2
+10x
⇒x
2
+10x−600=0
⇒x
2
+30x−20x−600=0
⇒x(x+30)−20(x+30)=0
⇒(x+30)(x−20)=0
⇒x=−30,20
−30 is inadmissible , hence x=20
⇒x+10=20+10=30
Thus, price of oranges =Rs.30/kg on that day
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