The price of sugar decrease by 20% because of which Anika now is able to buy 2 kg more sugar for Rs. 100. Find the reduced rate(in Rs.) of sugar per kilogram.a.18b.26c.10d.12.5

Let's solve this step by step:

Step 1: Let's assume the original price of sugar per kg is Rs. x.

Step 2: Due to a 20% decrease, the new price becomes 80% of the original price, which is 0.8x.

Step 3: According to the problem, Anika is now able to buy 2 kg more sugar for Rs. 100. This means the difference in price for 2 kg sugar at the original price and the reduced price is Rs. 100.

So, we can write the equation as: 2x - 2(0.8x) = 100

Step 4: Simplify the equation: 2x - 1.6x = 100, which gives 0.4x = 100

Step 5: Solve for x: x = 100 / 0.4 = Rs. 250. This is the original price per kg.

Step 6: The reduced price is 80% of the original price, which is 0.8 * 250 = Rs. 200.

Step 7: But we need to find the reduced rate per kg, so we divide the reduced price by the number of kgs, which is 2. So, 200 / 2 = Rs. 100.

So, the reduced rate of sugar per kilogram is Rs. 100. But this option is not given in the choices. There seems to be a mistake in the problem or the options provided.