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The ratio of the prices of two houses A and B was 4 : 5 last year. This year, the price of A is increased by 25 percent and that of B by Rs. 50,000. If their prices are now in the ratio 9 : 10, the price of A last year was: 
  • a)
    Rs. 3,60,000
  • b)
    Rs. 4,50,000
  • c)
    Rs. 4,80,000
  • d)
    Rs. 5,00,000
  • e)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
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The ratio of the prices of two houses A and B was 4 : 5 last year. Thi...
= 360000
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The ratio of the prices of two houses A and B was 4 : 5 last year. Thi...
Given:
The ratio of the prices of houses A and B last year was 4:5.
This year, the price of A increased by 25% and the price of B increased by Rs. 50,000.
Now, the prices of A and B are in the ratio 9:10.

To find:
The price of house A last year.

Solution:
Let's assume the prices of houses A and B last year were 4x and 5x respectively, where x is a constant.

Step 1: Calculate the prices of houses A and B this year.
The price of A this year = (Price of A last year) + (25% of Price of A last year)
= 4x + 0.25 * 4x
= 4x + x
= 5x

The price of B this year = (Price of B last year) + Rs. 50,000
= 5x + Rs. 50,000

Step 2: Use the given ratio of prices this year to form an equation.
According to the given information, the prices of A and B this year are in the ratio 9:10.
So, we can write the equation as:
5x / (5x + Rs. 50,000) = 9/10

Step 3: Solve the equation to find the value of x.
Cross-multiplying the equation, we get:
10 * 5x = 9 * (5x + Rs. 50,000)
50x = 45x + 9 * Rs. 50,000
50x - 45x = 9 * Rs. 50,000
5x = 9 * Rs. 50,000
x = (9 * Rs. 50,000) / 5
x = 9 * Rs. 10,000
x = Rs. 90,000

Step 4: Calculate the price of house A last year.
The price of A last year = 4x
= 4 * Rs. 90,000
= Rs. 3,60,000

Therefore, the price of house A last year was Rs. 3,60,000. (Option A)
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The ratio of the prices of two houses A and B was 4 : 5 last year. This year, the price of A is increased by 25 percent and that of B by Rs. 50,000. If their prices are now in the ratio 9 : 10, the price of A last year was:a)Rs. 3,60,000b)Rs. 4,50,000c)Rs. 4,80,000d)Rs. 5,00,000e)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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The ratio of the prices of two houses A and B was 4 : 5 last year. This year, the price of A is increased by 25 percent and that of B by Rs. 50,000. If their prices are now in the ratio 9 : 10, the price of A last year was:a)Rs. 3,60,000b)Rs. 4,50,000c)Rs. 4,80,000d)Rs. 5,00,000e)None of the aboveCorrect 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 The ratio of the prices of two houses A and B was 4 : 5 last year. This year, the price of A is increased by 25 percent and that of B by Rs. 50,000. If their prices are now in the ratio 9 : 10, the price of A last year was:a)Rs. 3,60,000b)Rs. 4,50,000c)Rs. 4,80,000d)Rs. 5,00,000e)None of the aboveCorrect 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 The ratio of the prices of two houses A and B was 4 : 5 last year. This year, the price of A is increased by 25 percent and that of B by Rs. 50,000. If their prices are now in the ratio 9 : 10, the price of A last year was:a)Rs. 3,60,000b)Rs. 4,50,000c)Rs. 4,80,000d)Rs. 5,00,000e)None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
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