Atul deposited 30% of his income in a bank. After spending 50% of the remaining, he had 10500 rupees left with him. What is his income.
Answers
Answer:
as he deposited 30 % so his remaining income is 70% and after spend 50% that means 35% his income is 10500
Step-by-step explanation:
hence 35%=10500 then 100%=30,000
Let, his total income be, 'x'
So, he deposited to the bank = (x*30/100)
= 3x/10
∴ The amount of money left after depositing in the bank = (x - 3x/10)
= (10x - 3x)/10
= 7x/10
So, after depositing for the bank he spent = (7x/10)*(50/100)
= (7x*50/10*100)
= (7x/10*20)
= 7x/20
∴ Finally the amount of money left =(7x/10) - (7x/20)
=(14x-7x)/20 [∵ L.C.M. of 10 and 20 is 20]
= 7x/20
According to the given condition,
7x/20 = 10500
⇒ 7x = 10500*20
⇒ x = 10500*20/7
⇒ x = 1500*20
⇒ x = ₹ 30000
So, Atul's income is ₹ 30000