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A reduction of 20% percent in the price of rice enables a housewife to buy 5 kg more for rupees 1200. The reduced price per kg of rice
- a)36
- b)45
- c)48
- d)60
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A reduction of 20% percent in the price of rice enables a housewife to...
let original price is x rupees per kg
1200/(4x/5) – 1200/x = 5
We will get x = 60, so reduced price = (4*60)/5 = 48
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
A reduction of 20% percent in the price of rice enables a housewife to...
Given:
- A reduction of 20% in the price of rice
- Enables a housewife to buy 5 kg more for Rs. 1200
To find:
- Reduced price per kg of rice
Approach:
- Let the original price of rice be 'x'
- After a 20% reduction, the new price of rice will be (100-20)% of x = 80% of x = 0.8x
- Let the original quantity of rice bought be 'y' kg
- With the new price and 5 kg more, the new quantity of rice bought is (y+5) kg.
- We can form the following equation based on the given information:
1200 = 0.8x * (y+5)
Solution:
- 1200 = 0.8x * (y+5)
- 1200/0.8 = x * (y+5)
- 1500 = x * (y+5)
- y = (1500/x) - 5
Now, we need to find the reduced price per kg of rice:
- The original price of rice was 'x'
- The new price of rice is 0.8x
- Therefore, the reduction in price per kg of rice is x - 0.8x = 0.2x
Substituting the value of 'y' in terms of 'x' in the given equation:
1200 = 0.8x * ((1500/x) - 5)
Simplifying the above equation, we get:
x = 48
Therefore, the reduced price per kg of rice is:
0.2x = 0.2 * 48 = 9.6
Hence, the correct option is (c) 48.
- A reduction of 20% in the price of rice
- Enables a housewife to buy 5 kg more for Rs. 1200
To find:
- Reduced price per kg of rice
Approach:
- Let the original price of rice be 'x'
- After a 20% reduction, the new price of rice will be (100-20)% of x = 80% of x = 0.8x
- Let the original quantity of rice bought be 'y' kg
- With the new price and 5 kg more, the new quantity of rice bought is (y+5) kg.
- We can form the following equation based on the given information:
1200 = 0.8x * (y+5)
Solution:
- 1200 = 0.8x * (y+5)
- 1200/0.8 = x * (y+5)
- 1500 = x * (y+5)
- y = (1500/x) - 5
Now, we need to find the reduced price per kg of rice:
- The original price of rice was 'x'
- The new price of rice is 0.8x
- Therefore, the reduction in price per kg of rice is x - 0.8x = 0.2x
Substituting the value of 'y' in terms of 'x' in the given equation:
1200 = 0.8x * ((1500/x) - 5)
Simplifying the above equation, we get:
x = 48
Therefore, the reduced price per kg of rice is:
0.2x = 0.2 * 48 = 9.6
Hence, the correct option is (c) 48.
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A reduction of 20% percent in the price of rice enables a housewife to buy 5 kg more for rupees 1200. The reduced price per kg of ricea)36b)45c)48d)60e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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