45% of Samita's monthly income is equal to 63% of Anil's monthly income. If Samita's monthly income is ₹84,000, what is Anil's monthly income (in ₹)?
- A59,400
- B61,500
- C58,500
- D60,000
Solution & Step-by-step Explanation
Let Samita's monthly income be S and Anil's monthly income be A.
According to the question:
45% of S=63% of A
100
45
×S=
100
63
×A
45×S=63×A
Given that Samita's monthly income S=₹84,000:
45×84000=63×A
A=
63
45×84000
Dividing 84000 and 63 by 7:
A=
9
45×12000
Dividing 45 by 9:
A=5×12000=60,000
Therefore, Anil's monthly income is ₹60,000.
According to the question:
45% of S=63% of A
100
45
×S=
100
63
×A
45×S=63×A
Given that Samita's monthly income S=₹84,000:
45×84000=63×A
A=
63
45×84000
Dividing 84000 and 63 by 7:
A=
9
45×12000
Dividing 45 by 9:
A=5×12000=60,000
Therefore, Anil's monthly income is ₹60,000.