In the month of March, Dalip earned on an average Rs 501 per day. For the first 18 days, his average earning was Rs 495 and, for the last 15 days, his average earning was Rs 505. On 18th March, he earned Rs 50 more than that earned on 17th March. How much (in Rs) did he earn on 18th March?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 502
Given:
Average earning of Dalip in March = Rs 501 per day
Average earning of Dalip for first 18 days = Rs 495 per day
Average earning of Dalip for last 15 days = Rs 505 per day
Concept Used:
Average = Sum of elements/Number of elements
Explanation:
Dalip earned on average Rs. 501 per day.
His average earning was Rs. 495 and, for the last 15 days, his average earning was Rs. 505.
Total earnings in the month of March = 501 × 31 = 15531
Total earning of 1st 18 days = 495 × 18 = 8910
Total earning of last 15 days = 505 × 15 = 7575
Earning of 17th and 18 March = (8910 + 7575) - 15531 = 954
Let he earn Rs. x on 18th March.
So, on 17th March he earned = x - 50
⇒ x - 50 + x = 954
⇒ 2x = 1004
⇒ x = 502
So, he earned Rs. 502 on 18th of March.