Question

A man spends $Rs.2310$ on an average during the first $8$ months from the income. During next $4$ months he spends $Rs.1800$ on an average from his income but he had taken a loan of $Rs.1680$ apart from his income to meet his both ends. If he spent all what he had then the ratio of average income and a average expenditure ?

• A. $50:53$
• B. $100:103$
• C. $100:109$
• D. $100:107$

Answer 1

The correct option is D $100:107$

Average Money spent in first $8$ months = $Rs2310$

Average money spent in next $4$ months = $Rs1800$

Loan amount = $Rs1680$

So average income $=\frac{8\times 2310+4\times 1800-1680}{12}=\frac{24000}{12}=2000$

And the average expenditure = $\frac{8\times 2310+4\times 1800}{12}=\frac{25680}{12}=2140$

Ratio of average income to average expenditure is given by =$\frac{2000}{2140}=\frac{100}{107}$

So the ratio becomes $100:107.$