Question

Atul deposited 30% of his income in a bank. After spending 50% of the remaining he had rupees 10500 left with him. What is his income

Answer 1

Answer:

₹30, 000

Step-by-step explanation:

let his income be X

deposited money=30%of X

=3X/10

X-3X/10=7X/10

spent money=50/100 × 7X/10

=7X/20

7X/20=10500

X=10500×20/7

X=1500×20

X=₹30,000

Answer 2

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  

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