Anil donates 30 percent of his income to a school and deposits 70 percent of the remainder in his bank. If he has Rs. 9765 now, then what is his income?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Rs. 46500.
Let Anil's income be Rs. x
Anil donates 30 percent of his income to a school
Amount donated to school = 30% of x = 0.3x
Remaining amount = x - 0.3x = 0.7x
and, Deposits 70 percent of the remainder in his bank
Income deposited to bank = 70% of 0.7x = 0.49x
So,
Anil's total savings = x - (0.3x + 0.49x)
⇒ x - 0.79 = 0.21x
Now,
He has Rs. 9765 now
⇒ 0.21x = 9765
⇒ x = 9765/0.21
⇒ x = 46500
Hence, Anil's income is Rs. 46500.