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The price of rice is increased by 20 percent and a person decrease his consumption by 15 percent, so his expenditure on rice is
- a)increase by 2 percent
- b)increase by 4 percent
- c)decrease by 2 percent
- d)decrease by 4 percent
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The price of rice is increased by 20 percent and a person decrease his...
Answer – 1.increase by 2 percent Explanation : Let initial price of rice – 100 and new price of rice – 120 suppose initial consumption is 100kg and new consumption is 85kg Initial expenditure = 10000 New expenditure = 10200 (200/10000)*100 = 2 percent increase
Most Upvoted Answer
The price of rice is increased by 20 percent and a person decrease his...
Solution:
Let the original price of rice be x and the original consumption be y. Then,
Expenditure = Price × Consumption
Original expenditure = xy
After the increase in price by 20%, the new price of rice = 1.2x
After the decrease in consumption by 15%, the new consumption of rice = 0.85y
New expenditure = (1.2x) × (0.85y)
= 1.02xy
Therefore, the percentage change in expenditure = [(New expenditure - Original expenditure) / Original expenditure] × 100
= [(1.02xy - xy) / xy] × 100
= 2%
Hence, the expenditure on rice increases by 2 percent.
Therefore, option 'A' is the correct answer.
Let the original price of rice be x and the original consumption be y. Then,
Expenditure = Price × Consumption
Original expenditure = xy
After the increase in price by 20%, the new price of rice = 1.2x
After the decrease in consumption by 15%, the new consumption of rice = 0.85y
New expenditure = (1.2x) × (0.85y)
= 1.02xy
Therefore, the percentage change in expenditure = [(New expenditure - Original expenditure) / Original expenditure] × 100
= [(1.02xy - xy) / xy] × 100
= 2%
Hence, the expenditure on rice increases by 2 percent.
Therefore, option 'A' is the correct answer.
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The price of rice is increased by 20 percent and a person decrease his consumption by 15 percent, so his expenditure on rice isa)increase by 2 percentb)increase by 4 percentc)decrease by 2 percentd)decrease by 4 percente)None of theseCorrect answer is option 'A'. Can you explain this answer?
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