The rate of popcorn was reduced by 20%, and now a customer can buy 15 kg more popcorn for Rs 300 than usual. The difference of actual and changed price per kg is?
Answers
Answer:
I don't know this answer
Given,
The rate of popcorn is reduced by 20%
Now, a customer can buy 15 kg more popcorn for Rs 300 than usual.
To find,
The difference of actual and changed price per kg.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Let, the initial price per kg = Rs. x
Reduced price per kg = x - (x × 20/100) = x - x/5 = Rs. 4x/5
In the initial price,
Rs. x = 1 kg popcorn
Rs. 1 = 1/x kg popcorn
Rs. 300 = 300/x kg popcorn
In the reduced price,
Rs. 4x/5 = 1 kg popcorn
Rs. 1 = 5/4x kg popcorn
Rs. 300 = 1500/4x = 375/x kg popcorn
According to the data mentioned in the question,
375/x - 300/x = 15
375-300/x = 15
75/x = 15
15x = 75
x = 5
Initial price = Rs. 5 per kg
Reduced price = 5 - (5×20/100) = 5-1 = Rs. 4 per kg
Difference of price per kg = 5-4 = Re. 1
Hence, the difference of actual and changed price per kg is Re. 1