The following bar graph shows number of students from different schools who have a hobby of Singing, Dancing and Drawing. Each student is interested in playing only on

9-5-2025 IMG-1295 Nishi Dhariwal -42

If the number of students who are interested in Singing from all the colleges is increased by 20% and the number of students who are interested in Drawing from all the colleges has decreased by 10% , then ratio of number of students who are interested in Singing to that of who are interested in Drawing? 

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MP Excise Constable Official paper (Held On: 25 Feb 2023 Shift 3)
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  1. 96 : 47 
  2. 115 : 53 
  3. 216 : 113
  4. 345 : 119 

Answer (Detailed Solution Below)

Option 3 : 216 : 113
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Calculations:

Total students interested in Singing = 340 + 250 + 450 + 300 + 280 = 1620

Increase in Singing students = 1620 × 20% = 324

New total students interested in Singing = 1620 + 324 = 1944

Total students interested in Drawing = 260 + 180 + 170 + 200 + 320 = 1130

Decrease in Drawing students = 1130 × 10% = 113

New total students interested in Drawing = 1130 - 113 = 1017

Ratio of new Singing students to new Drawing students:

Ratio = 1944 : 1017

Ratio = 216 : 113

∴ The ratio is 216 : 113.

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