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Answer :
Final answer:
After the price reduction of 20%, a person can buy 5 more kg of apples for Rs. 165. By setting up an equation and solving for the reduced price, it's found the closest answer to the reduced price per kg is Rs. 25, which is option c).
Explanation:
The student asked about the reduced price of apple per kg after a price reduction of 20%, with the ability to buy 5 more kg for Rs. 165 in comparison with the original price. To find the reduced price, we can set up an equation where the original price per kg is represented by P and the reduced price per kg is P imes 0.8 (since the price has been reduced by 20%). The original amount of apples that could be bought for Rs. 165 is 165 / P. After the price reduction, the new amount that can be bought is 165 / (0.8P) which is 5 kg more than the original amount. So, the equation is:
165 / P + 5 = 165 / (0.8P)
By solving this equation, we find that P, the original price, is Rs. 33 per kg. Therefore, the reduced price is 0.8 imes 33, which equals Rs. 26.4 per kg. However, since the question presents discrete values as options, the closest option that is less than Rs. 26.4 is Rs. 25 per kg, which is option c).
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