In a box, there are sweets of 3 colours, yellow, pink and purple. There are 232 more pink sweets than purple sweets. The number of purple sweets is ¹₄ more than the yellow sweets. Given that the number of purple sweets is 15% of the total number of sweets in the box, how many more pink sweets are there than yellow sweets?

Yellow sweets	Pink sweets	Purple sweets
	1 u + 232	1 u
4x3		5x3
85%		15%
12%	73%	15%

1 + ¹₄ = ⁴₄ + ¹₄ = ⁵₄

Yellow sweets : Purple sweets = 4 : 5

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

5 x 3 = 15%

Total number of yellow sweets and pink sweets in percent
= 100% - 15%
= 85%

Number of pink sweets in percent
= 85% - 12%
= 73%

Number of more pink sweets than purple sweets in percent
= 73% - 12%
= 58%

58% = 232

1% = 232 ÷ 58 = 4

Number of more pink sweets than yellow sweets
= 73% - 12%
= 61%
= 61 x 4
= 244

Answer(s): 244