Mango A worth Rs 130/kg and mango B worth Rs 120/kg is mixed with the third variety C in the ratio 1:1:2If the mixture is worth Rs 160, what is the price of the third variety of mango ie C?Correct anset1Incorrect answer: 0OptionsRs 200Rs 225Rs 230None of theseChumer Auroramanan
Answers
130 /kg & rs. 120/kg are mizey with a third variety in the Ratio 1:1:3. Let x /kg be the price of third variety. x = (550/3)= 183.33/kg answers.
The price of the third variety of mango is Rs. 195 per kg.
Given : Mango A worth Rs 130/kg and mango B worth Rs 120/kg is mixed with the third variety C in the ratio 1:1:2 . The mixture is worth Rs 160.
To find : The price of the third variety of mango.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the price of third variety of mango)
Let, the amounts of three mangoes in the mixture = x kg , x kg and 2x kg
(obtained from the ratio 1:1:2)
Total price of Mango A = 130 × x = Rs. 130x
Total price of Mango B = 120 × x = Rs. 120x
Let, the price rate of Mango C = Rs. y per kg
Total price of Mango C = y × 2x = Rs. 2xy
Total price = Rs. (130x + 120x + 2xy) (i)
Now, total amount of mixture = x + x + 2x = 4x kg
Total price of the mixture = 160 × 4x = Rs.640x (ii)
Comparing (i) and (ii), we get :
(130x + 120x + 2xy) = 640x
2x (65 + 60 + y) = 2x (320)
125 + y = 320
y = 320 - 125
y = 195
So, the price of third variety of mango = Rs. 195 per kg
Hence, the price the third variety of mango is Rs. 195 per kg. (non of these)