In a box, there are sweets of 3 colours, purple, silver and gold. There are 120 more silver sweets than gold sweets. The number of gold sweets is ¹₅ more than the purple sweets. Given that the number of gold sweets is 30% of the total number of sweets in the box, how many more silver sweets are there than purple sweets?

Purple sweets	Silver sweets	Gold sweets
	1 u + 120	1 u
5x5		6x5
70%		30%
25%	45%	30%

1 + ¹₅ = ⁵₅ + ¹₅ = ⁶₅

Yellow sweets : Purple sweets = 5 : 6

The number of gold sweets is repeated.  Make the number of gold sweets the same.

6 x 5 = 30%

Total number of purple sweets and silver sweets in percent
= 100% - 30%
= 70%

Number of silver sweets in percent
= 70% - 25%
= 45%

Number of more silver sweets than gold sweets in percent
= 45% - 25%
= 15%

15% = 120

1% = 120 ÷ 15 = 8

Number of more silver sweets than purple sweets
= 45% - 25%
= 20%
= 20 x 8
= 160

Answer(s): 160