There are 120 hens in a poultry. Due to the addition of 140 more hens, the expenses of the poultry increases by Rs. 4050 while the average expenditure per hen diminishes by Rs. 3. What was the original expenditure of the poultry?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Rs. 4140.
Initial number of hens= 120
Number of added hens = 140
Final number of hens = 120 + 140 = 260
Increase in expenditure = Rs 4050
Decrease in average expenditure = Rs 3
Total expenditure = Average expenditure × number of hens
According to the given question,
⇒ 260(x - 3) - 120x = 4050
⇒ 260x - 780 - 120x = 4050
⇒ 140x = 4830
⇒ x = 34.5
Original expenditure = 120x
⇒ 120 × 34.5 = 4140
Hence the original expenditure is Rs 4140.