By a reduction of Re.1 per kg in the price of sugar, Radha can buy one...
Given:- Reduction in price of sugar = Re.1 per kg
- Radha can buy one kg more sugar for Rs.56 after the reduction
To find:The original price of 1 kg of sugar
Assumption:Let the original price of 1 kg of sugar be 'x' Rs.
Step-by-step solution:
1. Calculation after the reduction in price:- After the reduction in price by Re.1, the new price of 1 kg of sugar = x - 1 Rs.
- With this new price, Radha can buy one kg more sugar for Rs.56.
- So, the price of 2 kg of sugar = 56 Rs.
- Therefore, the price of 1 kg of sugar = 56/2 = 28 Rs.
2. Calculation before the reduction in price:- Let's assume the original price of 1 kg of sugar = x Rs.
- With this price, Radha can buy 1 kg of sugar for Rs.x.
- After the reduction in price by Re.1, the new price of 1 kg of sugar = x - 1 Rs.
- With this new price, Radha can buy 1 kg more sugar for Rs.56.
- So, the price of 2 kg of sugar = x + (x - 1) = 2x - 1 Rs.
3. Equating the prices:- The price of 1 kg of sugar before the reduction = The price of 1 kg of sugar after the reduction
- x = 28
Therefore, the original price of 1 kg of sugar is Rs. 28.
Conclusion:The original price of 1 kg of sugar is Rs. 28.