Ram spends 30% of his salary on house rent, 30% of the rest he spends on his children's education and 24% of the total salary he spends on clothes. After his expenditure, he is left with Rs. 2500. What is Ram's salary?

A. Rs. 11,494.25

B. Rs. 20,000

C. Rs. 10,000

D. Rs. 15,000

Solution(By Examveda Team)

Let Ram's salary be x
He spends on rent = 30% of x = $$\frac{{30{\text{x}}}}{{100}}$$
He spends on education = 30% from rest of the salary = $$\frac{{30 \times 70{\text{x}}}}{{100 \times 100}} = \frac{{21{\text{x}}}}{{100}}$$
He Spends on clothes = 24% of total salary = $$\frac{{24{\text{x}}}}{{100}}$$
Saving = 2500
Salary of ram = x
\eqalign{ & \frac{{30{\text{x}}}}{{100}} + \frac{{21{\text{x}}}}{{100}} + \frac{{24{\text{x}}}}{{100}} + 2500 = {\text{x}} \cr & {\text{or,}}\,\frac{{75x}}{{100}} = {\text{x}} - 2500 \cr & {\text{or,}}\,75{\text{x}} = 100{\text{x}} - 250000 \cr & {\text{or, }}100{\text{x}} - 75{\text{x}} = 250000 \cr & {\text{or, x}} = \frac{{250000}}{{25}} \cr & {\text{or, x}} = 10000 \cr & {\text{Ram's}}\,{\text{salary = Rs}}{\text{.}}\,10000 \cr}

1. Lengthy process...short trick?

2. Let the salary= 100
Spend on rent=30% of 100=30
Spend on education = 30% of the rest= 30% of (100-30)=21
Spend on cloth= 24% of total salary= 24% of 100=24
Saving= 100-(30+21+24)=25
So now, 25=2500
1=2500/25
100=2500*100/25
100=10,000
Assumed money= real money
So, Ram's salary=10,000

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