Girls in a shopping mall like dresses of three different colors; Red, Blue, and Black. 45% of total girls like red color dress, out of which 60% like only red color. If 36 girls like red color dress along with at least one more color, 10% like both red and blue color while 60% of total girls like black color dress, then how many girls like black color or blue or both color dress but not red color?

Girls in a shopping mall like dresses of three different colors; Red, Blue, and Black. 45% of total girls like red color dress, out of which 60% like only red color. If 36 girls like red color dress along with at least one more color, 10% like both red and blue color while 60% of total girls like black color dress, then how many girls like black color or blue or both color dress but not red color? Correct Answer 110

GIVEN:

45% of total girls like red color dress, out of which 60% like only red color.

36 girls like red color dress along with at least one more color, 10% like both red and blue color while 60% of total girls like black color dress.

CONCEPT:

Venn diagram

CALCULATION:

Total girls who like only red color = 60% of 45% = 27% of total girls

Girls who like all 3 color dress = 45% - (27% + 10%) = 8% of total girls

Let girls who like only red and black color dress be x%

⇒ Girls who like only red and blue color dress = (10 – x) %

Let girls who like only blue and black color dress be y%

[ alt="F1 Maanik.G 30-07-2020 Savita D4" src="//storage.googleapis.com/tb-img/production/20/08/F1_Maanik.G_30-07-2020_Savita_D4.png" style="width: 196px; height: 249px;">

According to the question,

(10 – x)% + 8% + x% = 36

⇒ 1% = 2

∴ Girls who like black or blue or both color dress but not red color = (52 – x – y)% + y% + (3 + x)% = 55% of total girls

= 55 × 2 = 110