Price reduced by 5%: For the same money that used to buy 50 kg of rice, how many kilograms can now be purchased after the 5% price cut?

Introduction / Context:When price decreases, a fixed amount of money buys more quantity. This is a classic inverse-proportion scenario with a single percentage change in price and a constant budget.

Given Data / Assumptions:

• Original quantity purchasable = 50 kg (at old price).
• New price = 95% of old price (5% reduction).
• Budget is unchanged.

Concept / Approach:Quantity at fixed money is inversely proportional to price. Therefore, new quantity = old quantity / 0.95. Compute 50 / 0.95 to determine the updated quantity.

Step-by-Step Solution:New quantity = 50 / 0.9550 / 0.95 = 5000 / 95 = 52.631578…Rounded to two decimals ≈ 52.63 kg

Verification / Alternative check:If old price is P, then budget = 50P. New price is 0.95P; quantity = (50P)/(0.95P) = 50/0.95, confirming the result.

Why Other Options Are Wrong:50.40 and 51.00 understate the inverse effect; 60.50 and 42.30 are far from the correct fractional increase implied by 5%.

Common Pitfalls:Adding 5% to 50 kg instead of dividing by 0.95. Quantity scales inversely with price for a fixed budget, not additively.

Final Answer:52.63 kg