preeti spent 12% of her monthly income and donated 20 % of the remaining amount to an orphanage. She deposited 50% of the amount left donation in a bank. if rupees 12672 is left with her find her monthly income.
Answers
Her monthly income is ₹43200.
• Given data :
She spent 12% of her monthly income.
She donated 20% of the remaining amount to the orphanage.
She deposited 50% of the remaining amount to the bank.
She has left with rupees 12672.
• Let,her monthly income = ₹ x (assume x as a variable to calculate the total monthly income of the Preeti)
• So,her spent amount
= x × 12/100
= x × 6/50
= x × 3/25
= ₹ 3x/25
• Remaining amount = x - 3x/25 = ₹ 22x/25
• Donated amount to the orphanage = 22x/15 × 20/100 = ₹ 22x/75
• Remaining amount = 22x/25 - 22x/75 = (66x-22x)/75 = ₹ 44x/75
• Deposited amount to the bank = 44x/75 × 50/100 = ₹ 22x/75
• Last remaining amount = 44x/75 - 22x/75 = ₹ 22x/75
Now,if we compare our calculated last remaining amount and the given last remaining amount,then we will get the following equation :
22x/75 = 12672
x = 12672 × 75/22
x = 43200
So,her monthly income is ₹43200. (Answer)
Explanation:
I hope this answer will help you
