Question

a box contains 280 coins of one-rupee 50-paise and 25-paise. the values of each kind of the coins are in the ratio of 8 : 4 : 3. then the number of 50-paise coins is

Answer 1

If it's values are in the ratio 8 : 4 : 3 then,
100 paise = 8x
50 paise = 4x
25 paise = 3x

But the value of per coin will be in
ratio = 4 : 2 : 1


Therefore the numbers of coins of per paise will be,
100 paise = 8x / 4
= 2x

50 paise = 4x / 2
= 2x

25 paise = 3x / 1
= 3x

then,
2x + 2x + 3x = 280 coins
7x = 280
x = 280 / 7
x = 40

As x =40 then,
100 paise = 2x
= 2 (40)
= 80

50 paise = 2x
= 2(40)
= 80

25 paise = 3x
= 3(40)
= 120

Therefore there were,
one rupee = 80
50 paise = 80
25 paise = 120