out of 104 watches , 64 has the average price of rs 120 and the remaining has rs 146 what is average price of all ?
Answers
Answer:
Average price of all watches is Rs 130.
Step-by-step explanation:
Total number of watches = 104
Average price of 64 watches = Rs 120
⇒ Sum of prices of 64 watches / 64 = Rs 120
⇒ Sum of prices of 64 watches = Rs 120 x 64
⇒ Sum of prices of 64 watches = Rs 7680
Average price of remaining watches = Rs 146
Number of watches whose average of price is Rs 146 = Total number of watches - Number of watches with average price of Rs 120
⇒ Number of watches whose average price is Rs 146 = 104 - 64
⇒ Number of watches whose average price is Rs 146 = 40
∴ Average price of 40 watches = Rs 146
⇒ ( Sum of prices of 40 watches ) / 40 = Rs 146
⇒ Sum of prices of 40 watches = Rs 146 x 40
⇒ Sum of prices of 40 watches = Rs 5840
∴ Average of total watches = ( sum of prices of 64 watches + sum of prices of 40 watches ) / 104
⇒ Average price of all watches = ( Rs 7680 + Rs 5840 ) / 104
⇒ Average price of all watches = Rs 130