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The price of sugar is increased by 25%. If a family wants to keep its expenses on sugar unaltered, then the familiy will have to reduce the consumption of sugar by:
- a)22%
- b)20%
- c)25%
- d)21%
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The price of sugar is increased by 25%. If a family wants to keep its ...
Given:
Increase % in the price of sugar = 25%
Formula used:
Expense = Price × Quantity
Calculation:
Let the initial expenses on sugar was Rs.100
Now, the price rises by 25%
⇒ New price = (100 + 100 × 25%) = 125
In order to keep the expense unaltered, Rs.25 has to be cut from Rs.125.
⇒ 125 - 25 = 100
∴ The decrease in the consumption = 25/125 × 100 = 20%
Alternate Method:
Alternate Method:
Reduction % = (Old quantity - New quantity)/Old quantity ×100
Let the price of 1 kg sugar = Rs.20
Let the the quantity of sugar bought = 5 kg
⇒ Expense = Price × Consumption = 20 × 5 = Rs.100
After increase of 25% in the price = Rs.20 × 125/100 = Rs.25
To keep the expense unchanged, that is Rs.100
⇒ New consumption = Rs.100/25 = 4 kg
Reduce in the consumption = 5 kg - 4 kg = 1 kg
∴ Percentage reduction in consumption = 1/5 × 100 = 20%
Shortcut Trick:
Shortcut Trick:
100 → + 25% → 125 _____ - Y% → 100
Now, Y = 25/125 × 100 = 20%
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Community Answer
The price of sugar is increased by 25%. If a family wants to keep its ...
The price of sugar is increased by 25%. If a family wants to keep its expenses on sugar unaltered, then the family will have to reduce the consumption of sugar by:
To solve this problem, we need to understand the relationship between price and consumption. When the price of a good increases, consumers tend to buy less of it. In this case, the price of sugar has increased by 25%, so the family will have to reduce their consumption in order to keep their expenses on sugar the same.
To find the percentage reduction in consumption, we can use the following formula:
Percentage reduction in consumption = (Change in price / Initial price) * 100
Step 1: Determine the change in price:
The price of sugar has increased by 25%, which means the change in price is 25%.
Step 2: Determine the initial price:
Let's assume the initial price of sugar was 100 units.
Step 3: Calculate the percentage reduction in consumption:
Percentage reduction in consumption = (25 / 100) * 100 = 25%
Answer:
Therefore, the family will have to reduce their consumption of sugar by 25% in order to keep their expenses on sugar unaltered. However, none of the given options match the correct answer. The correct answer should be 25% instead of option 'B' which states 20%.
To solve this problem, we need to understand the relationship between price and consumption. When the price of a good increases, consumers tend to buy less of it. In this case, the price of sugar has increased by 25%, so the family will have to reduce their consumption in order to keep their expenses on sugar the same.
To find the percentage reduction in consumption, we can use the following formula:
Percentage reduction in consumption = (Change in price / Initial price) * 100
Step 1: Determine the change in price:
The price of sugar has increased by 25%, which means the change in price is 25%.
Step 2: Determine the initial price:
Let's assume the initial price of sugar was 100 units.
Step 3: Calculate the percentage reduction in consumption:
Percentage reduction in consumption = (25 / 100) * 100 = 25%
Answer:
Therefore, the family will have to reduce their consumption of sugar by 25% in order to keep their expenses on sugar unaltered. However, none of the given options match the correct answer. The correct answer should be 25% instead of option 'B' which states 20%.
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