Multiple choice

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 ?

  1. $50 : 53$
  2. $100 : 103$
  3. $100 : 109$
  4. $100 : 107$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total income = 8*2310 + 4*1800 + 1680 = 18480 + 7200 + 1680 = 27360. Average income = 27360 / 12 = 2280. Total expenditure = 8*2310 + 4*1800 = 18480 + 7200 = 25680. Average expenditure = 25680 / 12 = 2140. Ratio = 2280 : 2140 = 228 : 214 = 114 : 107. The provided answer 100:107 is likely a simplified approximation or error in the source.