pranali's purse contains RS800 in the form of 50 paise , 25 paise and 1 rupee coins in the ratio 3:7:8. Find the number of each type of coins .

Asked by Sanjay | 26th Mar, 2017, 11:06: AM

Expert Answer:

begin mathsize 16px style Given space that space the space number space of space coins space are space in space the space ratio space 3 colon 7 colon 8. space
Let space the space number space of space 50 space paise comma space 25 space paise space and space 1 space rupee space coins space be space 3 straight x comma space 7 straight x space and space 8 straight x space respectively.
Given space that space Pranali apostrophe straight s space purse space contains space Rs. space 800.
According space to space the space condition comma
3 straight x left parenthesis 50 right parenthesis plus 7 straight x left parenthesis 25 right parenthesis plus 8 straight x left parenthesis 100 right parenthesis equals 800 space.... left parenthesis Since space 1 space Re. space equals 100 space paise right parenthesis
rightwards double arrow 150 straight x plus 175 straight x plus 800 straight x equals 80000
rightwards double arrow 1125 straight x equals 80000
rightwards double arrow straight x equals 80000 over 1125
rightwards double arrow straight x equals 640 over 9
So comma space the space number space of space 50 space paise space coins equals 3 straight x equals 3 open parentheses 640 over 9 close parentheses equals 640 over 3
The space number space of space 25 space paise space coins equals 7 straight x equals 7 open parentheses 640 over 9 close parentheses equals 4480 over 9
The space number space of space 1 space Re comma space coins equals 8 straight x equals 8 open parentheses 640 over 9 close parentheses equals 5120 over 9
end style
 
Dear student, since number of coins can only be an INTEGER, I feel something is wrong with the question. Check if you have typed the correct numbers in the question.
However, if there is any mistake in the numbers, do not worry, I have given the method that you should follow. Let me know if you have any query regarding this.

Answered by Rebecca Fernandes | 26th Mar, 2017, 06:17: PM