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Determine the ratio of the original price to the reduced price.
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4 stepsDetermine the ratio of the original price to the reduced price.
The price of rice decreases by 24%.
Let the original price be . The reduced price is .
The ratio of original price to reduced price is .
To work with whole numbers, we can consider the original price as 100 units.
Original price: 100 units
Reduced price: units
The ratio of original price to reduced price is .
Simplifying this ratio by dividing both sides by 4:Determine the ratio of the original quantity to the new quantity.
For a fixed expenditure (₹2,500), the quantity of rice that can be bought is inversely proportional to its price.
So, if , then the ratio of the original quantity () to the new quantity () is:Calculate the actual new quantity of rice.
The problem states that Alok can buy 10 kg more rice. This means the difference between the new quantity and the original quantity is 10 kg.
In terms of units from our ratio, the increase in quantity is units.
We are given that 6 units correspond to 10 kg.To find the new quantity (), which is 25 units:
So, Alok buys kg of rice at the reduced price.
Calculate the reduced price per kg.
The total expenditure is ₹2,500.
The new quantity of rice is kg.
The reduced price per kg is the total expenditure divided by the new quantity:The reduced price per kg is ₹60. This corresponds to option c.
The final answer is .
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