SOLUTION: A shopkeeper sells a eraser for RS 2 and a shapner at rs 3 .ram purchases some erasers and sharpners.while calculating the amount mistakenly he considers rs 3 for eraser and 2 for

Question 1118987: A shopkeeper sells a eraser for RS 2 and a shapner at rs 3 .ram purchases some erasers and sharpners.while calculating the amount mistakenly he considers rs 3 for eraser and 2 for sharpener. The amount is 10 rupees more than the actual amount.find the number of sharpner purchased if ram purchases 20 item in all
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

Let X be the number of sharpeners Ram purchased.


Then the number of erasers was (20-X).


The correct cost of his purchase was  3*X + 2*(20-X) rupees.

The mistakenly calculated cost was  2X + 3*(20-X).


The difference between these two values is 10 rupees, which gives you an equation


2X + 3*(20-X) = 3x + 2*(20-X) + 10.


Simplify and solve for X:


2X + 60 - 3X = 3X + 40 - 2X + 10

60 - 40 - 10 = 3X - 2X - 2X + 3X

10 = 2X

X =  = 5.


Answer.  The number of sharpeners was 5.

RELATED QUESTIONS
A dealer purchases 22 pencils for Rs.20 and sells them at the rate of 10 pencils for Rs... (answered by rfer)

A vendor buys oranges at rs.2 for 3 oranges and sells them at a rupee each. To make a... (answered by josgarithmetic)

a man loses rs. 20 by selling some toys at the rate of rs.3 per piece and gains rs. 30 if (answered by ankor@dixie-net.com)

A shopkeeper bought a pair of shoes for Rs 720 and sold it for Rs 810 . Find his profit... (answered by dkppathak)

The cost of pencil is 25 paise more than the cost of a eraser if the cost of 8 pencils... (answered by ikleyn)

4. The local store sells individual pencils and erasers. Two pencils and an eraser would (answered by checkley77)

Respected sir, [1] A man loses Rs.20 by selling some toys at the rate of Rs.3 per... (answered by RAY100)

4 pens and 3 erasers cost rs 17,4 erazers and 3 pens cost rupees 18.findthe cost of pen... (answered by ewatrrr)

A shopkeeper buys 100 pens for Rs 200 and sells 20 of them at a gain of 10%. At what gain (answered by mathstutor494,richwmiller)