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Twenty percent of Kunal’s monthly salary is equal to thirty-two percent of Nita’s monthly salary. Saurabh’s monthly salary is four fifth that of Nita’s monthly salary. If Saurabh’s annual salary is Rs. 3.84 lakhs, what is Kunal’s monthly salary?
- a)Rs 64,000
- b)Rs 58,000
- c)Rs 66,000
- d)Rs 64,500
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Understanding the Relationship between Salaries
To solve for Kunal's monthly salary, we need to analyze the relationships between Kunal's, Nita's, and Saurabh's salaries based on the given information.
Step 1: Setting Up the Equations
- Let Nita's monthly salary = N.
- Kunal's monthly salary = K.
- Saurabh's monthly salary = S.
From the problem, we know:
- 20% of Kunal’s salary = 32% of Nita’s salary
This can be expressed as:
0.2K = 0.32N
- Saurabh’s monthly salary is four-fifths of Nita’s salary:
S = (4/5)N
Also, we know Saurabh’s annual salary is Rs. 3.84 lakhs:
S = 3.84 lakhs / 12 = Rs. 32,000 (monthly).
Step 2: Finding Nita's Salary
Using the relationship of Saurabh's and Nita's salaries:
(4/5)N = Rs. 32,000
To find Nita's monthly salary:
N = (5/4) * 32,000 = Rs. 40,000
Step 3: Finding Kunal's Salary
Now, substitute N into the equation for Kunal's salary:
0.2K = 0.32 * 40,000
0.2K = 12,800
Now, solve for K:
K = 12,800 / 0.2 = Rs. 64,000
Conclusion
Thus, Kunal’s monthly salary is Rs. 64,000, which corresponds to option 'A'.
To solve for Kunal's monthly salary, we need to analyze the relationships between Kunal's, Nita's, and Saurabh's salaries based on the given information.
Step 1: Setting Up the Equations
- Let Nita's monthly salary = N.
- Kunal's monthly salary = K.
- Saurabh's monthly salary = S.
From the problem, we know:
- 20% of Kunal’s salary = 32% of Nita’s salary
This can be expressed as:
0.2K = 0.32N
- Saurabh’s monthly salary is four-fifths of Nita’s salary:
S = (4/5)N
Also, we know Saurabh’s annual salary is Rs. 3.84 lakhs:
S = 3.84 lakhs / 12 = Rs. 32,000 (monthly).
Step 2: Finding Nita's Salary
Using the relationship of Saurabh's and Nita's salaries:
(4/5)N = Rs. 32,000
To find Nita's monthly salary:
N = (5/4) * 32,000 = Rs. 40,000
Step 3: Finding Kunal's Salary
Now, substitute N into the equation for Kunal's salary:
0.2K = 0.32 * 40,000
0.2K = 12,800
Now, solve for K:
K = 12,800 / 0.2 = Rs. 64,000
Conclusion
Thus, Kunal’s monthly salary is Rs. 64,000, which corresponds to option 'A'.
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Twenty percent of Kunal’s monthly salary is equal to thirty-two percent of Nita’s monthly salary. Saurabh’s monthly salary is four fifth that of Nita’s monthly salary. If Saurabh’s annual salary is Rs. 3.84 lakhs, what is Kunal’s monthly salary?a)Rs 64,000b)Rs 58,000c)Rs 66,000d)Rs 64,500e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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