Tamil Nadu Board of Secondary EducationSSLC (English Medium) (5 to 8) Class 8

X alone can do a piece of work in 6 days and Y alone in 8 days. X and Y undertook the work for ₹ 48000. With the help of Z, they completed the work in 3 days. How much is Z’s share? - Mathematics

Advertisements
Advertisements
Sum

X alone can do a piece of work in 6 days and Y alone in 8 days. X and Y undertook the work for ₹ 48000. With the help of Z, they completed the work in 3 days. How much is Z’s share?

Advertisements

Solution

X can do the work in 6 days.

X’s 1 day work = `1/6`

X’s share for 1 day = `1/6 xx 48000` = ₹ 8000

X’s share for 3 days = 3 × 8000 = ₹ 24000

Y can complete the work in 8 days.

Y’s 1 day work = `1/8`

Y’s 1 day share = `1/8 xx 48000` = ₹ 6000

Y’s 3 days share = ₹ 6000 × 3 = ₹ 18000

(X + Y)’s 3 days share = ₹ 24000 + ₹ 18000 = ₹ 42000

Remaining money is Z’s share

∴ Z’s share = ₹ 48000 – ₹ 42000 = ₹ 6000

Concept: Time and Work
  Is there an error in this question or solution?
Chapter 4: Life Mathematics - Exercise 4.5 [Page 152]

APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 8th Mathematics Answers Guide
Chapter 4 Life Mathematics
Exercise 4.5 | Q 15 | Page 152

RELATED QUESTIONS

A train is moving with a uniform speed of 120 km per hour.
(i) How far will it travel in 36 minutes?
(ii) In how much time will it cover 210 km?


If 56 workers can build a wall in 180 hours, how many workers will be required to do the same work in 70 hours?


Cost of 24 identical articles is Rs. 108, Find the cost of 40 similar articles.


If 15 men can complete a piece of work in 30 days, in how many days will 18 men complete it?


A fort had provisions for 450 soldiers for 40 days. After 10 days, 90 more soldiers come to the fort. Find in how many days will the remaining provisions last at the same rate?


A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it?


A and B together can do a piece of work in `6 2/3` days, but B alone can do it in 10 days. How long will A take to do it alone?


A and B working together can mow a field in 56 days and with the help of C, they could have mowed it in 42 days. How long would C take by himself?


A and B can do a work in 8 days; B and C in 12 days, and A and C in 16 days. In what time could they do it, all working together?


A and B can do a piece of work in 40 days; B and C in 30 days; and C and A in 24 days.
(i) How long will it take them to do the work together?
(ii) In what time can each finish it working alone?


P and Q can do a piece of work in 12 days and 15 days respectively. P started the work alone and then after 3 days, Q joined him till the work was completed. How long did the work last?


P alone can do `1/2` of a work in 6 days and Q alone can do `2/3` of the same work in 4 days. in how many days will they finish `3/4` of the work, working together?


Share
Notifications



      Forgot password?
Use app×