A bag contains 25 paise, 10 paise and 5 paise coins in the ratio 1 : 2 : 3. If the total value of the coins is Rs. 36, the number of 25 paise coins is
see x+2x+3x=36 so,x=6 or 36/(1+2+3)=6,so number of 25 paise coins is 24 but the ans wer is 60?.
25x/100+10*2x/100+5*3x/100=36 60x/100=36,so x=60
how if rs6 is the value of 25 paise coins.the total coin value=36 bcoz,10 is rs12 and 18rs for 5 paise
so the number of 25 coins is 24 only ?.25 paise to make one rupee is 4 so 4*6=24
lets start from scratch
say, there are "a" 25 paise coind, "b" 10 paise coins, and "c" 5 paise coins in the bag : 25a + 10b + 5c = 3600
fine with that equation ?
yes so a=60 coins,120 for10,180 for5
so there value bcomes 3600 right?
exactly !
but they gave 36 only for total value.this doesnt match
36 rupees = 3600 paise
notice that we're measuring in paise on left hand side
so right hand side becomes 3600
if you want to measure in rupees, you would get : 0.25a + 0.1b + 0.05c = 36
because 25 paise = 0.25 of a rupee 10 paise = 0.1 of a rupee 5 paise = 0.05 of a rupee
in short : 1 paise = 0.01 of a rupee
or : 1 rupee = 100 paise so, 1/100 rupee = 1 paise which is same as : 0.01 rupee = 1 paise
all above are same ^^ just messing with the `paise <-> rupee` conversion
if we get 24 coins of 25 paise this also will be correct?
they asked for 25 paise coins so 24 only.not for one paise coin..it still confusing question.i understood it taken for paise
lets see : 25 paise : 24 coins 10 paise : 24*2 coins 5 paise : 24*3 coins
that means : 25 paise : 24 coins = 6 rupees 10 paise : 24*2 coins = 4.8 rupees 5 paise : 24*3 coins = 3.6 rupees -------------------------------------
you won't get a total of 36 rupees, so 25 paise coins can NOT be just 24 okay ?
25 paise coins have to be 60
yes.but little twisted question
got it!
agree, here is the complete solution in one place : say, there are "a" 25 paise coins, "b" 10 paise coins, and "c" 5 paise coins in the bag : 25a + 10b + 5c = 3600 ------(1) we're give n : a : b : c = 1 : 2 : 3 so b = 2a, c = 3a substitute these in equation (1), you get : 25a + 10(2a) + 5(3a) = 3600 60a = 3600 a = 60
good:)
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