A reduction of 20% in the price of rice enables a person to buy 8kg more rice for Rs.400.The original price of rice 2.per kg is *1 point1.202.12.53.104.17.50
Question
A reduction of 20% in the price of rice enables a person to buy 8kg more rice for Rs.400.
The original price of rice per kg is:
- 20.12
- 5
- 10
- 17.50
Solution
The problem can be solved in the following steps:
Step 1: Let's assume the original price of rice per kg is Rs. x.
Step 2: After a reduction of 20%, the new price becomes 80% of x, which is 0.8x.
Step 3: According to the problem, with Rs. 400, a person can buy 8kg more rice at the reduced price. So, the cost of 8kg rice at the reduced price is Rs. 400.
Step 4: Therefore, the price of 1kg rice at the reduced price is 400/8 = Rs. 50.
Step 5: As we know, the reduced price is 0.8x, so we can set up the equation 0.8x = 50.
Step 6: Solving this equation for x gives x = 50/0.8 = Rs. 62.5.
So, the original price of rice per kg is Rs. 62.5. However, this option is not available in the choices provided. There might be a mistake in the problem or the options provided.
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