Question

The average wage of a worker during a fortnight comprising 15 consecutive working days was Rs.90 per day. During the first 7 days, his average wage was Rs.87 per day and average wage during the last 7 days was Rs.92 per day. What was his wage on 8th day?

Answer 1

Given:

The average wage of a worker during a fortnight comprising 15 consecutive working days was Rs.90 per day. During the first 7 days, his average wage was Rs.87 per day and average wage during the last 7 days was Rs.92 per day.

To find:

What was his wage on 8th day

STEP BY STEP EXPLANATION:

the total wage earned during the 15 days that the worker worked ${15} ^{*} 90$= RS. 1350

the total wage earned during the first 7 days = ${7} ^{*} 87$= RS. 609

the total wage earned during the last 7 days = ${7}^{*} 92$= RS. 644

Total wage earned in fifteen days =

wage during first 7 days + wage on ${8} \:^{th}$day + wage during the last 7 days

1350 = 609 + wage on ${8} \: ^{th}$day + 644

wage on ${8} \: ^{th}$day = 1350 - 609 - 644 = RS. 97

ANSWER:

∴ So, the wage during the ${8} \: ^{th}$day is RS. 97

Hence verified !