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The ratio of the price of two flats was 4:5 3 years later when the price of first increase by 10% and that the second by rupees 6000 the ratio of their prices become 11 : 15 find the original price of two?
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The ratio of the price of two flats was 4:5 3 years later when the pri...
Problem: The ratio of the price of two flats was 4:5. 3 years later when the price of first increased by 10% and that of the second by Rs. 6000, the ratio of their prices became 11:15. Find the original price of two flats.
Solution:
Let the original prices of two flats be 4x and 5x.
Step 1: Finding the new prices of two flats after 3 years.
The price of the first flat increased by 10%, so its new price after 3 years will be:
4x + 10% of 4x = 4x + 0.4x = 4.4x
The price of the second flat increased by Rs. 6000, so its new price after 3 years will be:
5x + 6000 = 5x + 6000
Step 2: Forming an equation using the given information.
According to the question, the ratio of the new prices of the two flats is 11:15. So, we can write:
4.4x : (5x + 6000) = 11 : 15
Step 3: Solving the equation.
Cross-multiplying, we get:
4.4x x 15 = 11 x (5x + 6000)
Simplifying, we get:
66x = 55x + 66000
11x = 66000
x = 6000
Step 4: Finding the original prices of two flats.
The original price of the first flat = 4x = 4 x 6000 = Rs. 24000
The original price of the second flat = 5x = 5 x 6000 = Rs. 30000
Therefore, the original prices of the two flats were Rs. 24000 and Rs. 30000.
Conclusion:
The original prices of two flats were Rs. 24000 and Rs. 30000.
Solution:
Let the original prices of two flats be 4x and 5x.
Step 1: Finding the new prices of two flats after 3 years.
The price of the first flat increased by 10%, so its new price after 3 years will be:
4x + 10% of 4x = 4x + 0.4x = 4.4x
The price of the second flat increased by Rs. 6000, so its new price after 3 years will be:
5x + 6000 = 5x + 6000
Step 2: Forming an equation using the given information.
According to the question, the ratio of the new prices of the two flats is 11:15. So, we can write:
4.4x : (5x + 6000) = 11 : 15
Step 3: Solving the equation.
Cross-multiplying, we get:
4.4x x 15 = 11 x (5x + 6000)
Simplifying, we get:
66x = 55x + 66000
11x = 66000
x = 6000
Step 4: Finding the original prices of two flats.
The original price of the first flat = 4x = 4 x 6000 = Rs. 24000
The original price of the second flat = 5x = 5 x 6000 = Rs. 30000
Therefore, the original prices of the two flats were Rs. 24000 and Rs. 30000.
Conclusion:
The original prices of two flats were Rs. 24000 and Rs. 30000.
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The ratio of the price of two flats was 4:5 3 years later when the price of first increase by 10% and that the second by rupees 6000 the ratio of their prices become 11 : 15 find the original price of two?
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The ratio of the price of two flats was 4:5 3 years later when the price of first increase by 10% and that the second by rupees 6000 the ratio of their prices become 11 : 15 find the original price of two? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio of the price of two flats was 4:5 3 years later when the price of first increase by 10% and that the second by rupees 6000 the ratio of their prices become 11 : 15 find the original price of two? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the price of two flats was 4:5 3 years later when the price of first increase by 10% and that the second by rupees 6000 the ratio of their prices become 11 : 15 find the original price of two?.
The ratio of the price of two flats was 4:5 3 years later when the price of first increase by 10% and that the second by rupees 6000 the ratio of their prices become 11 : 15 find the original price of two? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio of the price of two flats was 4:5 3 years later when the price of first increase by 10% and that the second by rupees 6000 the ratio of their prices become 11 : 15 find the original price of two? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the price of two flats was 4:5 3 years later when the price of first increase by 10% and that the second by rupees 6000 the ratio of their prices become 11 : 15 find the original price of two?.
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