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Sri invested some amount(x) at the rate of 12% simple interest and a certain amount(y) at the rate of 10% simple interest. He received yearly interest of Rs.140. But if he had interchanged the amounts invested, he would have received Rs.4 more as interest.
Quantity I: The value of x
Quantity II: The value of y
  • a)
    Quantity I > Quantity II
  • b)
    Quantity I < Quantity II
  • c)
    Quantity I ≥ Quantity II
  • d)
    Quantity I ≤ Quantity II
  • e)
    Quantity I = Quantity II or relation cannot be established
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Sri invested some amount(x) at the rate of 12% simple interest and a c...
Amount invested at 12% = Rs. x Amount invested at 10% = Rs. y
140 = x*12*1/100 + y*10*1/100
12x + 10y = 14000 -(i)
144 = x*10*1/100 + y*12*1/100
10x + 12y = 14400 -(ii)
x = 545.45; y = 745.45
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Most Upvoted Answer
Sri invested some amount(x) at the rate of 12% simple interest and a c...
Understanding the Problem
Sri has invested two amounts, x and y, at different interest rates. The total interest received is Rs. 140, and if the investments were swapped, the interest would increase by Rs. 4.
Given Information
- Amount x invested at 12%
- Amount y invested at 10%
- Total interest = Rs. 140
Interest Equations
1. The interest from x and y can be expressed as:
- Interest from x = 12% of x = 0.12x
- Interest from y = 10% of y = 0.10y
Therefore, the first equation is:
- 0.12x + 0.10y = 140
2. If the amounts were interchanged:
- Interest from y = 12% of y = 0.12y
- Interest from x = 10% of x = 0.10x
The second equation is:
- 0.12y + 0.10x = 140 + 4 = 144
Setting Up the System of Equations
From the above information, we have:
- 0.12x + 0.10y = 140 (Equation 1)
- 0.12y + 0.10x = 144 (Equation 2)
Solving the Equations
To solve these equations, we can manipulate them to express one variable in terms of the other.
1. From Equation 1:
- 0.10y = 140 - 0.12x
- y = (140 - 0.12x) / 0.10
2. Substitute y in Equation 2 and simplify to find x and y.
Conclusion
After solving, you will find that y will be greater than x, leading to the conclusion that:
- Quantity I (value of x) < quantity="" ii="" (value="" of="" />
Thus, the correct relation is:
Correct Option: b) Quantity I < quantity="" />
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Sri invested some amount(x) at the rate of 12% simple interest and a certain amount(y) at the rate of 10% simple interest. He received yearly interest of Rs.140. But if he had interchanged the amounts invested, he would have received Rs.4 more as interest.Quantity I: The value of xQuantity II: The value of ya)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'B'. Can you explain this answer?
Question Description
Sri invested some amount(x) at the rate of 12% simple interest and a certain amount(y) at the rate of 10% simple interest. He received yearly interest of Rs.140. But if he had interchanged the amounts invested, he would have received Rs.4 more as interest.Quantity I: The value of xQuantity II: The value of ya)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'B'. 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 Sri invested some amount(x) at the rate of 12% simple interest and a certain amount(y) at the rate of 10% simple interest. He received yearly interest of Rs.140. But if he had interchanged the amounts invested, he would have received Rs.4 more as interest.Quantity I: The value of xQuantity II: The value of ya)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sri invested some amount(x) at the rate of 12% simple interest and a certain amount(y) at the rate of 10% simple interest. He received yearly interest of Rs.140. But if he had interchanged the amounts invested, he would have received Rs.4 more as interest.Quantity I: The value of xQuantity II: The value of ya)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'B'. Can you explain this answer?.
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