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

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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) About Me  (Show Source):
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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 = 10%2F2 = 5.


Answer.  The number of sharpeners was 5.