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Due to a reduction of 6.25% in the price of sugar, a man can buy 1 kg more for ₹120. The reduced price per kg of sugar is:
₹7.5
₹7
₹8
₹6.5
₹7.5
Convert 6.25% to its fraction equivalent 161. The reduced price is 161×120=7.5.
Price reduction = 6.25%, Total expenditure = ₹120, Extra quantity bought = 1 kg.
Pricereduced=100×QuantityextraTotalAmount×%Reduction
Convert 6.25% to its fraction equivalent 161. The reduced price is 161×120=7.5.
Students often calculate the original price instead of the reduced price or confuse the base amount with the expenditure.
Convert percentage to fraction
The reduction in price is 6.25%. Expressing this as a fraction: 6.25%=1006.25=10000625=161.
6.25%=161
Apply price reduction logic
If the price reduces by a fraction 161 of the original price, the saving on the original expenditure 120 allows buying 1 kg extra. Thus, the reduced price for that extra 1 kg is 120×161.
Pricereduced=120×161
Calculate the final value
Perform the division: 120÷16=7.5. Therefore, the reduced price per kg is ₹7.5.
Pricereduced=7.5
A is correct because the reduced price per kg of sugar is calculated as 6.25% of the total amount per extra kg, which equals ₹7.5.
This concept of 'price-consumption inverse proportionality' is frequently asked in various competitive exams; remember that Price×Quantity=Expenditure.
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