Question

Hello please help me in a question. I am stuck. The question is anil spent 1/4 of his monthly income on food 2/5 on other expenses and donated 1/6 of his monthly for the education of orphans. If he was left with 10,000 rupees find his monthly income. Please help me with this I would be thankful if you helped

Answer 1

Answer

55.555.555...

Step by step explanation

Let value of Anil's monthly income be a

Since Anil was left with 10000 rupees,

hence his total expense = Rs. (a-10000)

Amount of money he spent on food = 1/4 of a

Amount of money he spent on

other expenses = 2/5 of a

Amount of money he donated for education of orphans = 1/6 of a

His actual monthly income = ?

》[(1/4×a) + (2/5×a) + (1/6×a)] / 60 = a-10000

》[1/4 a + 2/5 a + 1/6 a] / 60 = a-10000

Taking LCM of the denominaters, we get-

》[(1×15/4×15) + (2×12/5×12) + (1×10/6×10)] / 60 = a-10000

》[15/60 + 24/60 + 10/60] / 60 = a-10000

》49/60 = a-10000

》a-49/60 a = 10000

》60a-49a/60 = 10000

》11a/60 = 10000

》11a = 10000×60

》a = 600000/11

》a = 55.555.555...

Answer 2

Answer:

Answer : 54545.45

Step-by-step explanation: