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The price of sugar rises from ₹40 per kg to ₹50 per kg. By what percent must a family cut its consumption so that its spending on sugar stays the same?

Competition practiceRatio, Percentage & Commercial Math
  • A10
  • B25
  • C16.67
  • D20

Step-by-Step Solution

Spending = price × quantity, so the quantity must fall by the factor 40/50 = 0.8, a cut of 20%. (The price rose by 25%, but the cut is measured on the consumption, whose new base pairs with the higher price.)
Answer: D) 20

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