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The price of sugar is increased by 20%. If the expenditure is not allowed to be increased, the ratio between the reduction in consumption and the original consumption is
  • a)
    1 : 3
  • b)
    1 : 4
  • c)
    1 : 6
  • d)
    1 : 5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The price of sugar is increased by 20%. If the expenditure is not allo...
Let rate of sugar be 100 per kg
New rate per kg =rupees 120
In rupees 100 sugar purchased=100/120=5/6kg
So reduction in sugar=1-5/6=1/6=1:6
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Community Answer
The price of sugar is increased by 20%. If the expenditure is not allo...
Solution:

Let the original price of sugar be Rs. 100.

After the increase of 20%, the new price of sugar = 120.

Let the original consumption of sugar be 100 units.

Then, the original expenditure = Rs. 100 × 100 = Rs. 10,000.

To keep the expenditure constant, the new consumption of sugar will be 10,000/120 = 83.33 units.

Therefore, the reduction in consumption = 100 - 83.33 = 16.67 units.

The ratio of the reduction in consumption to the original consumption is given by:

= 16.67/100

= 1/6

Therefore, the correct option is (c) 1 : 6.
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The price of sugar is increased by 20%. If the expenditure is not allowed to be increased, the ratio between the reduction in consumption and the original consumption isa)1 : 3b)1 : 4c)1 : 6d)1 : 5Correct answer is option 'C'. Can you explain this answer?
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