Direction: Vivek works ‘p’ hours a day and rests ‘b’ hours a day. This pattern continues for 1 week, with an exactly opposite pattern next week, and so on for six weeks. Every 7th week he has a different pattern. When he works longer than he rests, his wage per hour is 50% mo
Direction: Vivek works ‘p’ hours a day and rests ‘b’ hours a day. This pattern continues for 1 week, with an exactly opposite pattern next week, and so on for six weeks. Every 7th week he has a different pattern. When he works longer than he rests, his wage per hour is 50% more than what he earns per hour when he rests longer than he works. The following are his daily working hours for the weeks numbered 1 to 19. (A week consists of six days and a month consists of 4 weeks)
|
|
1st week |
7th week |
13th week |
19th week |
|
Working hours |
3 |
5 |
6 |
- |
|
Resting hours |
4 |
6 |
4 |
8 |
The new manager applied a rule that Rs. 50 will be deducted for every hour of rest and Rs. 360 be paid per hour starting 13th week, then what will be the change in Vivek’s salary for the 4th month? (Earlier condition is still applies)
1). Rs. 32620
2). Rs. 48750
3). Rs. 51840
4). Rs. 50160
1 answers
From the 13th week:
In 13th and 15th week: Vivek works for 6 hours and rests for 4 hours
? He works longer than he rests, his wage per hour is 50% more than what he earns per hour when he rests longer than he works;
∴ He will get Rs. (360 × 1.5 = 540) per hour for the work and Rs. 50 will be deducted for every hour of rest.
In 14th and 16th week: Vivek works for 4 hours and rests for 6 hours
∴ He will get Rs. 360 per hour for the work and Rs. 50 will be deducted for every hour of rest.
∴ Total payment for the 4th month = 2 × 540 × 6 × 6 + 2 × 360 × 4 × 6 – 2 × 50 × 4 × 6 – 2 × 50 × 6 × 6
⇒ 38880 + 17280 – 2400 – 3600
⇒ 56160 – 6000
⇒ Rs. 50160