In a mall that sells coats, 200 red coats were sold and 25% of the remaining coats that were sold were black. Of the leftover, 60% of the coats sold were yellow coats and the rest were brown coats. Given that the number of brown coats sold was 20% of the total number of coats sold, how many black and red coats were sold altogether?
25% = ²⁵₁₀₀ = ¹₄
60% = ⁶⁰₁₀₀ = ³₅
20% = ²⁰₁₀₀ = ¹₅

Red	Black	Yellow	Brown
200	1x5	3x5
		3x3	2x3
4x6			1x6
10 u	5 u	9 u	6 u

The total number of yellow and brown shirts is the combined repeated identity. Make the total number of yellow and brown shirts the same. LCM of 3 and 5 is 15.

The number of brown shirts is repeated. Make the number of brown shirts the same. LCM of 6 and 1 is 6.

Number of red coats
= 24 u - 5 u - 9 u
= 10 u

10 u = 200

1 u = 200 ÷ 10 = 20

Number of black and red coats
= 5 u + 200
= (5 x 20) + 200
= 100 + 200
= 300

Answer(s): 300