Quant Exam > Quant Questions > A reduction of 20% in the price of sugar enab...
Start Learning for Free
A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?
- a)Rs.10 per Kg
- b)Rs.8 per Kg
- c)Rs.6 per Kg
- d)Rs.5 per Kg
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A reduction of 20% in the price of sugar enables a housewife to purcha...
Explanation:
Reduction in price = 1/5 = 20%
Increase in Quantity = 25%
25% = 6 Kg.
original amount of Sugar = 6*4 = 24Kg.
Original price of the sugar = 240/24 = Rs. 10 per kg.
Reduction in price = 1/5 = 20%
Increase in Quantity = 25%
25% = 6 Kg.
original amount of Sugar = 6*4 = 24Kg.
Original price of the sugar = 240/24 = Rs. 10 per kg.
Most Upvoted Answer
A reduction of 20% in the price of sugar enables a housewife to purcha...
Given:
- Reduction of 20% in the price of sugar
- Housewife can purchase 6 kg more for Rs. 240
To find:
- Original price per kg of sugar
Solution:
Let the original price of sugar be x Rs/kg.
After the reduction of 20%, the new price of sugar = (100-20)% of x = 80% of x = 0.8x Rs/kg.
Let the quantity of sugar that the housewife could purchase before the reduction be y kg.
Then, the total cost of y kg of sugar before the reduction = xy Rs.
After the reduction, the housewife can purchase 6 kg more for the same amount of money, i.e. Rs. 240.
So, the new quantity of sugar that the housewife can purchase = y + 6 kg.
The total cost of (y+6) kg of sugar after the reduction = xy Rs.
But we know that this cost is equal to Rs. 240.
So, we have the equation:
xy = 240
Now, let's find the value of y in terms of x.
Before the reduction, the housewife could purchase y kg of sugar for xy Rs.
After the reduction, for the same amount of money, the housewife can purchase (y+6) kg of sugar.
So, we have the equation:
(y+6) * 0.8x = xy
Simplifying this equation, we get:
0.8xy + 4.8x = xy
0.2xy = 4.8x
y = 24/x
Now, substituting the value of y in the equation xy = 240, we get:
x * 24/x = 240
24 = 10x
x = 24/10 = 2.4
Therefore, the original price of sugar was Rs. 2.4 per kg.
But the options given in the question are in whole numbers, so we need to convert this answer to Rs/kg.
Multiplying both sides by 10 gives:
x = 24/10 = 2.4
10x = 24
So, the original price of sugar was Rs. 24 per 10 kg, or Rs. 2.4 per kg.
Hence, the correct option is (a) Rs. 10 per kg.
- Reduction of 20% in the price of sugar
- Housewife can purchase 6 kg more for Rs. 240
To find:
- Original price per kg of sugar
Solution:
Let the original price of sugar be x Rs/kg.
After the reduction of 20%, the new price of sugar = (100-20)% of x = 80% of x = 0.8x Rs/kg.
Let the quantity of sugar that the housewife could purchase before the reduction be y kg.
Then, the total cost of y kg of sugar before the reduction = xy Rs.
After the reduction, the housewife can purchase 6 kg more for the same amount of money, i.e. Rs. 240.
So, the new quantity of sugar that the housewife can purchase = y + 6 kg.
The total cost of (y+6) kg of sugar after the reduction = xy Rs.
But we know that this cost is equal to Rs. 240.
So, we have the equation:
xy = 240
Now, let's find the value of y in terms of x.
Before the reduction, the housewife could purchase y kg of sugar for xy Rs.
After the reduction, for the same amount of money, the housewife can purchase (y+6) kg of sugar.
So, we have the equation:
(y+6) * 0.8x = xy
Simplifying this equation, we get:
0.8xy + 4.8x = xy
0.2xy = 4.8x
y = 24/x
Now, substituting the value of y in the equation xy = 240, we get:
x * 24/x = 240
24 = 10x
x = 24/10 = 2.4
Therefore, the original price of sugar was Rs. 2.4 per kg.
But the options given in the question are in whole numbers, so we need to convert this answer to Rs/kg.
Multiplying both sides by 10 gives:
x = 24/10 = 2.4
10x = 24
So, the original price of sugar was Rs. 24 per 10 kg, or Rs. 2.4 per kg.
Hence, the correct option is (a) Rs. 10 per kg.
Free Test
FREE
| Start Free Test |
Community Answer
A reduction of 20% in the price of sugar enables a housewife to purcha...
Shortcut:
Step1: 20×(240/100) => Rs 48 for 6Kg => 48/6, => Rs 8/Kg New Rate,
Step2: 8×(100/80) => Rs 10/Kg Original Rate
Therefore In This Question NEW RATE IS RS 8 PER Kg
And ORIGINAL RATE IS RS 10 PER Kg
Step1: 20×(240/100) => Rs 48 for 6Kg => 48/6, => Rs 8/Kg New Rate,
Step2: 8×(100/80) => Rs 10/Kg Original Rate
Therefore In This Question NEW RATE IS RS 8 PER Kg
And ORIGINAL RATE IS RS 10 PER Kg
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer?.
A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar?a)Rs.10 per Kgb)Rs.8 per Kgc)Rs.6 per Kgd)Rs.5 per Kge)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup