every month Mira buys milk for rupees 810 when the price of milk war went up by 12.5% she had to reduce her monthly incomes of milk so that she find the sum amount by what percent did she reduce consumption of milk
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1
r/100 r x 100%
=12.5/100+12.5 x 100%
=1/9%
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❒ Question :
➢ Every month, Rita buys milk for Rs. 810. When the price of milk went up by 12.5%, she had to reduce her monthly consumption of milk so that she spends the same amount. By what percent did she reduce her consumption of milk?
❒ Topic : Percentage Change.
❒ Let's say :
- The quantity is measured in liters
- Rita used to consume ‘x’ liters of milk earlier.
- The cost of milk earlier was ‘y’ per liter.
❒ Previously :
➺ x × y = 810 ....(1)
Now since the price has increased by 12.5%
The new cost is y + 12.5% of y = 1.125y
Now in order to spend the same amount lets say now Rita consumes ‘x²’ liters of milk. Then,
➺ (x²) × (1.125y) = 810
➺ x² × 1.125y = x × y
➺ x² = x /1.125
➺ x² = 0.889 x.
∴ The percent decrease would be :
➺ (x - 0.8889x) / x × 100% = 11.11% decrease.
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