Question

3. From the salary of an officer 10% gets deducted as House Rent Allowance, 15% he spends on Children’s education, 10% is spent on clothing’s. After his expenses he is left over with Rs3780. Find his income.
a. 21200

Answer 1

Answer:

5815.38 Rs.

Step-by-step explanation:

From the salary of an officer, 10% he spends as House Rent Allowance, 15% he spends on Children's Education and again 10% he spends on clothing.

So, It is clear that in total he spends = (10%+15%+10%) = 35%.

If the total salary of the person is 100%, then he spends 35% from total and it remains (100% -35%)=65%.

Now, given that the officer has Rs 3780 left over after all the expenditure.

So, 65% =3780

⇒ 1% =3780/65

⇒100% =3780×100/65 = 5815.38 Rs.

Therefore, The total income of the officer is 5815.38 Rs.

Answer 2

Answer:

Salary of Officer = 5600

Step-by-step explanation:

Let say Salary of officer = 100S   Rs

then 10% gets deducted as House Rent Allowance

Deduction = (10/100)100S = 10S  Rs

Salary Received = 100S - 10S = 90S  Rs

spends on Children’s education = (15/100)90S = 13.5S

Spend on Clothing = (10/100)90S = 9S

Remaining = 90S - 13.5S - 9S  = 67.5S Rs

67.5S = 3780

=> S = 56

Salary of Officer = 5600