a reduction of 20% in the price of sugar enables a purchaser to obtain 2.5 kg more for Rs.160.find the original rate and the reduced price per kg.
find the original rate ?
you meant: find the original price ?
let original price be x
.8x = 160
x = 160/.8 = 200
but that is for 2.5 kg
so original price per kg = 200/2.5 = 80
reduced price per kg = 160/2.5 = 64
notice that 64 equals 80% of 80
To solve this problem, we need to set up an equation based on the given information.
Let's denote the original price per kilogram of sugar as "x."
According to the problem, a 20% reduction in price enables the purchaser to obtain 2.5 kg more for Rs.160.
So, the reduced price per kilogram of sugar would be (x - 20% of x) = (x - 0.2x) = 0.8x.
The equation can be set up as follows:
2.5 kg * (x - 0.8x) = Rs. 160
Simplifying the equation, we have:
2.5 * 0.2x = 160
0.5x = 160
x = 160 / 0.5
x = Rs. 320
The original rate of sugar per kilogram is Rs. 320.
To find the reduced price per kilogram, we substitute the original price into the equation for the reduced price:
Reduced price = 0.8 * Rs. 320 = Rs. 256
Therefore, the reduced price per kilogram of sugar is Rs. 256.