Gaurav’s income is 160000 per year. He pays 15% of this as house rent and 10% of the remainder on his child’s education. The money left with him is
$
A.\;{\text{ 136000}} \\
B.\;{\text{ 120000}} \\
C.\;{\text{ 122400}} \\
D.\;{\text{ 14000}} \\
$
Last updated date: 30th Mar 2023
•
Total views: 307.8k
•
Views today: 7.87k
Answer
307.8k+ views
Hint: In this question Gaurav’s income is 160000 per year and he has to pay some of his expenses like house rent and child’s education. So the overall sum of the amount left with him will eventually be that portion of his salary that is left after paying all expenses, so use this concept to reach the answer.
Complete step-by-step answer:
Let the money left with him be x Rs after paying house rent and child education.
Given data
Gaurav’s income $ = 160000$ Rs.
He pays 15% of this as house rent.
Let the money left with him after paying house rent be y Rs.
So, the remainder of the Gaurav income (y) is Gaurav income minus 15% of Gaurav income.
$ \Rightarrow y = 160000 - \dfrac{{15}}{{100}} \times 160000$
$ \Rightarrow y = 160000 - 15 \times 1600$
$ \Rightarrow y = 160000 - 24000 = 136000$ Rs.
Now he pays 10% of the remainder on his child education.
So, the money left (x) with him after paying house rent and child education is y minus 10% of y
$ \Rightarrow x = y - \dfrac{{10}}{{100}}\left( y \right)$
$ \Rightarrow x = 136000 - \dfrac{{10}}{{100}}\left( {136000} \right)$
$ \Rightarrow x = 136000 - \left( {13600} \right)$
$ \Rightarrow x = 122400$ Rs.
So, the money left with him after paying house rent and child education is 122400 Rs.
Hence, option (c) is correct.
Note: Whenever we face such type of problems the key concept is to deduct the expenses from his income step by step, as these expenses which he will be playing plays a significant role in the amount that will be left with him. This calculation of expenses in order to deduct them from income will help you get on the right track to reach the answer.
Complete step-by-step answer:
Let the money left with him be x Rs after paying house rent and child education.
Given data
Gaurav’s income $ = 160000$ Rs.
He pays 15% of this as house rent.
Let the money left with him after paying house rent be y Rs.
So, the remainder of the Gaurav income (y) is Gaurav income minus 15% of Gaurav income.
$ \Rightarrow y = 160000 - \dfrac{{15}}{{100}} \times 160000$
$ \Rightarrow y = 160000 - 15 \times 1600$
$ \Rightarrow y = 160000 - 24000 = 136000$ Rs.
Now he pays 10% of the remainder on his child education.
So, the money left (x) with him after paying house rent and child education is y minus 10% of y
$ \Rightarrow x = y - \dfrac{{10}}{{100}}\left( y \right)$
$ \Rightarrow x = 136000 - \dfrac{{10}}{{100}}\left( {136000} \right)$
$ \Rightarrow x = 136000 - \left( {13600} \right)$
$ \Rightarrow x = 122400$ Rs.
So, the money left with him after paying house rent and child education is 122400 Rs.
Hence, option (c) is correct.
Note: Whenever we face such type of problems the key concept is to deduct the expenses from his income step by step, as these expenses which he will be playing plays a significant role in the amount that will be left with him. This calculation of expenses in order to deduct them from income will help you get on the right track to reach the answer.
Recently Updated Pages
If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts
Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE
