Ratio, Proportion, Indices, LogarithmMCQMTP May 20Question 821 of 305
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The ratio of the prices of two houses was 16:23\displaystyle 16:23. Two years later when the price of the first has increased by 10%\displaystyle 10\% and that of the second by Rs.477\displaystyle \text{Rs.} 477, the ratio of the prices becomes 11:20\displaystyle 11:20. Find the original prices of the two houses.

Options

ARs.848,Rs.1,219\displaystyle \text{Rs.} 848, \text{Rs.} 1,219
BRs.838,Rs.1,119\displaystyle \text{Rs.} 838, \text{Rs.} 1,119
CRs.828,Rs.1,219\displaystyle \text{Rs.} 828, \text{Rs.} 1,219
DRs.848,Rs.1,229\displaystyle \text{Rs.} 848, \text{Rs.} 1,229
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Correct Answer

Option cRs.828,Rs.1,219\displaystyle \text{Rs.} 828, \text{Rs.} 1,219

All Options:

  • ARs.848,Rs.1,219\displaystyle \text{Rs.} 848, \text{Rs.} 1,219
  • BRs.838,Rs.1,119\displaystyle \text{Rs.} 838, \text{Rs.} 1,119
  • CRs.828,Rs.1,219\displaystyle \text{Rs.} 828, \text{Rs.} 1,219
  • DRs.848,Rs.1,229\displaystyle \text{Rs.} 848, \text{Rs.} 1,229

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Detailed Solution & Explanation

Let the original price of the first house be P1\displaystyle P_1 and the original price of the second house be P2\displaystyle P_2. **Step 1: Express the initial ratio of prices.** Given that the ratio of the prices of the two houses was $16

About This Chapter: Ratio, Proportion, Indices, Logarithm

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Ratio, Proportion, Indices, Logarithms

This chapter covers Ratio, Proportion, Indices, Logarithms and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5-7 Marks weightage. Focus on understanding core concepts rather than memorizing.

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