CameraIcon

SearchIcon

MyQuestionIcon

6

You visited us 6 times! Enjoying our articles? Unlock Full Access!

Word Problems on LCM

A shopkeeper ...

Question

A shopkeeper sells pens in packet of 12 and markers in packet of 8. What is the least number of pens and markers that Pal should buy so that there will be one pen for each marker.

Open in App

Solution

To find a quantity which is the lowest common multiple of different quantities, we find the LCM.

Multiples of 12 are 12, 24, 36, 48, ……

Multiples of 8 are 8, 16, 24, 32, 40, ……

The lowest common multiple is 24. So, the least number of pens and markers that Pal should buy is 24 (2 packets of pens in which each packet contains 12 pens and 3 packets of markers in which each packet contains 8 markers)

Suggest Corrections

thumbs-up

1

Similar questions

Q. A shopkeeper sells Marker at the rate of Rs.35 each and earns a commission of 10%. He also sells Gel pen at the rate of Rs. 65 each and earns a commission of 20%. How much amount (in rupees) of commission will he earn in 2 weeks, if he sells 12 markers and 8 Gel pens a day?

Q. Three desk drawers I, II and III are being stocked with seven types of articles. Hand computer, Ink-pens, Labels, Markers, Rulers, Stationery, and Tapes are to be placed in the drawers so that the articles belonging to any given type are all in oe drawer and no drawer contains more than three types of articles. The arrangement of the types of articles is subject to the following constraints
(i)

Hand computers and Rulers must be in a drawer together.
(ii)

Neither Ink-pens not Markers can be in the same drawer as Labels.
(iii)

Neither Ink-pens nor Markers can be in the same drawer as Stationery.
(iv)

The stationery must be either in drawer I or drawer II.
Which of the following is an acceptable arrangement ?

D r a w e r I D r a w e r I I D r a w e r I I I

Markers, Stationery, Tapes

Hand Computers, Labels, Rulers
(B)

Ink-pens, Labels

Hand Computers, Rulers
(C)

Labels, Stationery

Tapes, Ink-pens, Markers

Hand Computers, Rulers
(D)

Ink-pens, Markers

Hand Computers, Rulers, Stationery

Q. One pen costs

0.25 a n d o n e m a r k e r c o s t s

0.35. At those prices, what is the total cost of 18 pens and 100 markers?

Q. (11f + 5) represents the number of markers, where f denotes the number of sketch pens in a shop. What is the number of markers available if f = 3?

Q. Statements: All pens are markers.
All copies are pens.
No paper is a marker.
C onclusions: I. At least some pens are papers.
II. No paper is a copy.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Word Problems on LCM

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Word Problems on LCM

Standard VI Mathematics

Join BYJU'S Learning Program

CrossIcon