Question

In the month of January Sachin's income and expenses were Rs 15,000 and Rs 9000 respectively
His monthly expenses vary directly as the square of his monthly income What is his income when it just equals his expenses?

• A. Rs 20, 600
• B. Rs 25,000
• C. Rs 27,600
• D. Rs 28,600

Answer 1

The correct option is B Rs 25,000

Given the income and expenses were Rs 15000 and Rs 9000

Then ratio of income and expenses=$\frac{15000}{9000}=1.6$

Then income increased Rs x then expenses increased Rs 1.6 x

So 15000+x=9000+1.6x

Or 0.6x=6000

Or x=10000

Then income is 15000+1000=Rs 25000