Question

Sameer spends 24% of his monthly income on food and 15% on the education of his children. Of the remaining salary, he spends 25% on entertainment and 20% on conveyance. He is now left with Rs. 10,736. What is the monthly salary of Sameer? A:Rs. 27,600 B:Rs. 28,000 C:Rs. 31,200 D:Rs. 32,000

Answer 1

Let his total salary = x
Therefore,

Money spent on Food = 24/100 * x
Money spent on Education = 15/100 * x

Remaining salary = x - (24x/100 + 15x/100)
= x - 39x/100
= 61x/100

Therefore,

Money spent on Entertainment = 25/100 * 61x/100
Money spent on Conveyence = 20/100 * 61x/100

This implies...

10,736 = x - ( 24x/100 + 15x/100 + 61x/400 + 61x/500 ). LCM = 2000

10,736 = x - ( 480x/2000 + 300x/2000 + 305x/2000 + 244x/2000 )

10,736 = x - 1329x/2000

10,736 = 671x/2000

Therefore ,

X = 10736 * 2000/671

X = 16 * 2000

X = 32000

Therefore his monthly income is Rs. 32000