Select the correct answer2/5 th of Anil’s salary is equal to Bhuvan’s salary and seven-ninth of Bhuvan’s salary is equal to Chandra’s salary. If the sum of the salary of all of them is RS. 77,000 then, how much is Bhuvan’s salary?OptionsRS. 15,000RS. 45,000RS. 28,000RS. 18,000RS. 17,000
Question
Select the correct answer2/5 th of Anil’s salary is equal to Bhuvan’s salary and seven-ninth of Bhuvan’s salary is equal to Chandra’s salary. If the sum of the salary of all of them is RS. 77,000 then, how much is Bhuvan’s salary?OptionsRS. 15,000RS. 45,000RS. 28,000RS. 18,000RS. 17,000
Solution
Let's solve this step by step:
- Let's assume Anil's salary is 'A', Bhuvan's salary is 'B', and Chandra's salary is 'C'.
- According to the problem, 2/5 of Anil's salary is equal to Bhuvan's salary. So, we can write this as: (2/5)A = B.
- Also, seven-ninth of Bhuvan’s salary is equal to Chandra’s salary. So, we can write this as: (7/9)B = C.
- The sum of all their salaries is Rs. 77,000. So, we can write this as: A + B + C = 77,000.
Now, we can substitute B and C from equations 2 and 3 into equation 4:
A + (2/5)A + (7/9)(2/5)A = 77,000 A[1 + (2/5) + (14/45)] = 77,000 A[(45 + 18 + 14)/45] = 77,000 A[77/45] = 77,000 A = 77,000 * (45/77) A = 45,000
Now, substitute A = 45,000 in equation 2 to find B: (2/5) * 45,000 = B B = 18,000
So, Bhuvan’s salary is Rs. 18,000.
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