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One-fourth of Lainey's savings in Kisan Vikas Patra is equal to one-fifth of her savings in the Employee Provident Fund. How much has she saved in Employee Provident Fund if she has a total savings of ₹ 180,000?
- a)₹ 100,000
- b)₹ 95,000
- c)₹ 85,000
- d)₹ 80,000
Correct answer is option 'A'. Can you explain this answer?
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One-fourth of Lainey's savings in Kisan Vikas Patra is equal to one-f...
Let her savings in Employee Provident Fund be ₹ x.
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∴ Her savings in Kisan Vikas Patra = ₹ (180,000 - x)
∴ (180,000 - x)/4 = x/5
=> 900,000 - 5x = 4x
=> x = ₹ 100,000
Most Upvoted Answer
One-fourth of Lainey's savings in Kisan Vikas Patra is equal to one-f...
Understanding the Problem
Lainey has a total savings of ₹ 180,000, which is split between Kisan Vikas Patra (KVP) and Employee Provident Fund (EPF). We need to find out how much she has saved in the EPF.
Setting Up the Equation
Let's denote:
- Savings in KVP = x
- Savings in EPF = y
According to the problem, we have the relationship:
- One-fourth of KVP savings is equal to one-fifth of EPF savings:
(1/4)x = (1/5)y
Expressing KVP in terms of EPF
From the equation above, we can express x in terms of y:
x = (5/4)(y/5) = (5/4) * (y)
Total Savings Equation
We know that:
x + y = 180,000
Substituting x from the previous expression into this equation gives us:
(5/4)(y) + y = 180,000
Combining Like Terms
Now, combine the terms:
(5y/4) + (4y/4) = 180,000
This simplifies to:
(9y/4) = 180,000
Solving for EPF Savings
To find y, multiply both sides by 4:
9y = 720,000
Now, divide by 9:
y = 720,000 / 9 = 80,000
Conclusion
Lainey has saved ₹ 80,000 in the Employee Provident Fund. Thus, the correct option is:
- a) ₹ 100,000
- b) ₹ 95,000
- c) ₹ 85,000
- d) ₹ 80,000
The answer is d) ₹ 80,000.
Lainey has a total savings of ₹ 180,000, which is split between Kisan Vikas Patra (KVP) and Employee Provident Fund (EPF). We need to find out how much she has saved in the EPF.
Setting Up the Equation
Let's denote:
- Savings in KVP = x
- Savings in EPF = y
According to the problem, we have the relationship:
- One-fourth of KVP savings is equal to one-fifth of EPF savings:
(1/4)x = (1/5)y
Expressing KVP in terms of EPF
From the equation above, we can express x in terms of y:
x = (5/4)(y/5) = (5/4) * (y)
Total Savings Equation
We know that:
x + y = 180,000
Substituting x from the previous expression into this equation gives us:
(5/4)(y) + y = 180,000
Combining Like Terms
Now, combine the terms:
(5y/4) + (4y/4) = 180,000
This simplifies to:
(9y/4) = 180,000
Solving for EPF Savings
To find y, multiply both sides by 4:
9y = 720,000
Now, divide by 9:
y = 720,000 / 9 = 80,000
Conclusion
Lainey has saved ₹ 80,000 in the Employee Provident Fund. Thus, the correct option is:
- a) ₹ 100,000
- b) ₹ 95,000
- c) ₹ 85,000
- d) ₹ 80,000
The answer is d) ₹ 80,000.
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One-fourth of Lainey's savings in Kisan Vikas Patra is equal to one-fifth of her savings in the Employee Provident Fund. How much has she saved in Employee Provident Fund if she has a total savings of ₹ 180,000?a)₹ 100,000b)₹ 95,000c)₹ 85,000d)₹ 80,000Correct answer is option 'A'. Can you explain this answer?
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