A bag contains rs 510 in form of 50 paise 20 paise 25 paise in ration of 2:3:4
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Answer:
LET COINS BE. 2x , 3x , 4x
50paise = 50/100 = rs. 1/2
25paise = 25/100 = rs. 1/4
20paise = 20/100 = rs. 1/5
1/2*2x + 1/4*3x + 1/5*4x = 510
x + 3/4x + 4/5x =510
(20x +15x + 16x)/20 = 510
51x/20 = 510
x = 510*20/51
x = 200
hence ,
coins of 50 paise will be 2x = 2*200 = 400
coins of 25 paise will be 3x = 3*200 = 600
coins of 20 paise will be 4x= 4*200 = 800
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Given that : A bag contains Rs. 510 in form of 50 paise 20 paise and 25 paise in the ratio of 2:3:4
Let, 50 paise = 2x , 20 paise = 3x and 25 paise = 4x
Now convert paise into rupees :
As we know that : 1 rupee = 100 paise
then, 50 paise = 50/100 = 1/2 rupees
20 paise = 1/5 rupees and
25 paise = 1/4 rupees
Now, according to the question :
(1/2×2x)+(1/4×3x)+(1/5×4x) = 510
=> x+3x/4+4x/5= 510
=> 51x/20 = 510
=> x = 200
So, 50 paise = 2x = 2×200 = 400
20 paise = 3x = 3×200 = 600
25 paise = 4x = 4×200 = 800
Let, 50 paise = 2x , 20 paise = 3x and 25 paise = 4x
Now convert paise into rupees :
As we know that : 1 rupee = 100 paise
then, 50 paise = 50/100 = 1/2 rupees
20 paise = 1/5 rupees and
25 paise = 1/4 rupees
Now, according to the question :
(1/2×2x)+(1/4×3x)+(1/5×4x) = 510
=> x+3x/4+4x/5= 510
=> 51x/20 = 510
=> x = 200
So, 50 paise = 2x = 2×200 = 400
20 paise = 3x = 3×200 = 600
25 paise = 4x = 4×200 = 800
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