Answer the questions based on the information given below. The table given below shows the total number of towels sold by a shopkeeper from Monday to Friday. Some data are given while some are missing in the table. Note : Total number of towels sold = Number of small sized, medium sized and large sized towels sold on the particular day.
Days
Total number of towels sold
Ratio of large to small sized towels sold
Percentage of Medium sized towels
Difference between the number of large sized and small sized towels sold
Monday
950
3 : 1
20%
-
Tuesday
900
3 : 2
-
90
Wednesday
-
5 : 4
25%
70
Thursday
750
-
20%
40
Friday
-
4 : 3
40%
90
Question: 1
What is the difference between large sized and small sized towel sold on Monday ?
For Monday : Total number of small and large sized towel sold on Monday = 0.8 × 950 = 760 So, desired difference = \(\frac{2}{4}\) × 760 = 380 For Tuesday : Let number of large and small sized towel sold be '3x' and '2x', respectively. S, 3x - 2x = 90 x = 90 Total number of medium sized towel sold = 900 - 5 × 90 = 450 Desired Percentage = \([\frac{(900-450)}{450}]\) × 100 = 50% For Wednesday : Let number of large and small sized towel sold be '5x' and '4x' respectively. So, 5x - 4x=70 x = 70 Total number of small and large sized towel sold = 9 × 70 = 630 Total number of towel sold = \(\frac{630}{0.75}\) = 840 For Thursday : Let total number of large and small sized towels sold be 'x' and 'y' respectively. Total number of small and large sized towels sold = 750 × 0.8 = 600 So, x + y = 600 And, x - y = 40 or y - x = 40 So, x = 320 or 280 And, y = 280 or 320 So, desired ratio can be 8 : 7 or 7 : 8. For Friday : Let number of large and small sized towels sold be '4x' and '3x', respectively. So, 4x - 3x = 90 x = 90 Total number of small and large sized towels sold = 7 × 90 = 630 Total number of towels sold = \(\frac{630}{0.60}\) = 1050
Days
Total towel sold
Ratio of large to small sized towel sold
Percentage of Medium sized towel
Difference between the number of large sized and small sized towel sold
Monday
950
3 : 1
20%
380
Tuesday
900
3 : 2
50%
90
Wednesday
840
5 : 4
25%
70
Thursday
750
8 : 7 or 7 : 8
20%
40
Friday
1050
4 : 3
40%
90
Desired answer = 380 So, the correct option is (A) : 380.
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Question: 2
What is the percentage of medium sized towel sold on Tuesday ?
For Monday : Total number of small and large sized towel sold on Monday = 0.8 × 950 = 760 So, desired difference = \(\frac{2}{4}\) × 760 = 380 For Tuesday : Let number of large and small sized towel sold be '3x' and '2x', respectively. S, 3x - 2x = 90 x = 90 Total number of medium sized towel sold = 900 - 5 × 90 = 450 Desired Percentage = \([\frac{(900-450)}{450}]\) × 100 = 50% For Wednesday : Let number of large and small sized towel sold be '5x' and '4x' respectively. So, 5x - 4x=70 x = 70 Total number of small and large sized towel sold = 9 × 70 = 630 Total number of towel sold = \(\frac{630}{0.75}\) = 840 For Thursday : Let total number of large and small sized towels sold be 'x' and 'y' respectively. Total number of small and large sized towels sold = 750 × 0.8 = 600 So, x + y = 600 And, x - y = 40 or y - x = 40 So, x = 320 or 280 And, y = 280 or 320 So, desired ratio can be 8 : 7 or 7 : 8. For Friday : Let number of large and small sized towels sold be '4x' and '3x', respectively. So, 4x - 3x = 90 x = 90 Total number of small and large sized towels sold = 7 × 90 = 630 Total number of towels sold = \(\frac{630}{0.60}\) = 1050
Days
Total towel sold
Ratio of large to small sized towel sold
Percentage of Medium sized towel
Difference between the number of large sized and small sized towel sold
Monday
950
3 : 1
20%
380
Tuesday
900
3 : 2
50%
90
Wednesday
840
5 : 4
25%
70
Thursday
750
8 : 7 or 7 : 8
20%
40
Friday
1050
4 : 3
40%
90
Desired percentage = 50% So, the correct option is (C) : 50%.
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Question: 3
What is the total number of towels sold on Wednesday ?
For Monday : Total number of small and large sized towel sold on Monday = 0.8 × 950 = 760 So, desired difference = \(\frac{2}{4}\) × 760 = 380 For Tuesday : Let number of large and small sized towel sold be '3x' and '2x', respectively S, 3x - 2x = 90 x = 90 Total number of medium sized towel sold = 900 - 5 × 90 = 450 Desired Percentage = \([\frac{(900-450)}{450}]\) × 100 = 50% For Wednesday : Let number of large and small sized towel sold be '5x' and '4x' respectively. So, 5x - 4x=70 x = 70 Total number of small and large sized towel sold = 9 × 70 = 630 Total number of towel sold = \(\frac{630}{0.75}\) = 840 For Thursday : Let total number of large and small sized towels sold be 'x' and 'y' respectively. Total number of small and large sized towels sold = 750 × 0.8 = 600 So, x + y = 600 And, x - y = 40 or y - x = 40 So, x = 320 or 280 And, y = 280 or 320 So, desired ratio can be 8 : 7 or 7 : 8. For Friday : Let number of large and small sized towels sold be '4x' and '3x', respectively. So, 4x - 3x = 90 x = 90 Total number of small and large sized towels sold = 7 × 90 = 630 Total number of towels sold = \(\frac{630}{0.60}\) = 1050
Days
Total towel sold
Ratio of large to small sized towel sold
Percentage of Medium sized towel
Difference between the number of large sized and small sized towel sold
Monday
950
3 : 1
20%
380
Tuesday
900
3 : 2
50%
90
Wednesday
840
5 : 4
25%
70
Thursday
750
8 : 7 or 7 : 8
20%
40
Friday
1050
4 : 3
40%
90
Desired number = 840 So, the correct option is (B) : 840.
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Question: 4
If number of large sized towels sold on Thursday are more than the number of small sized towels, then find the ratio of number of large sized to small sized towels sold on Thursday.
For Monday : Total number of small and large sized towel sold on Monday = 0.8 × 950 = 760 So, desired difference = \(\frac{2}{4}\) × 760 = 380 For Tuesday : Let number of large and small sized towel sold be '3x' and '2x', respectively. S, 3x - 2x = 90 x = 90 Total number of medium sized towel sold = 900 - 5 × 90 = 450 Desired Percentage = \([\frac{(900-450)}{450}]\) × 100 = 50% For Wednesday : Let number of large and small sized towel sold be '5x' and '4x' respectively. So, 5x - 4x=70 x = 70 Total number of small and large sized towel sold = 9 × 70 = 630 Total number of towel sold = \(\frac{630}{0.75}\) = 840 For Thursday : Let total number of large and small sized towels sold be 'x' and 'y' respectively. Total number of small and large sized towels sold = 750 × 0.8 = 600 So, x + y = 600 And, x - y = 40 or y - x = 40 So, x = 320 or 280 And, y = 280 or 320 So, desired ratio can be 8 : 7 or 7 : 8. For Friday : Let number of large and small sized towels sold be '4x' and '3x', respectively. So, 4x - 3x = 90 x = 90 Total number of small and large sized towels sold = 7 × 90 = 630 Total number of towels sold = \(\frac{630}{0.60}\) = 1050
Days
Total towel sold
Ratio of large to small sized towel sold
Percentage of Medium sized towel
Difference between the number of large sized and small sized towel sold
Monday
950
3 : 1
20%
380
Tuesday
900
3 : 2
50%
90
Wednesday
840
5 : 4
25%
70
Thursday
750
8 : 7 or 7 : 8
20%
40
Friday
1050
4 : 3
40%
90
Desired ratio = 320:280 = 8 : 7 So, the correct option is (D) : 8 : 7.
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Question: 5
Total number of towels sold on Friday is how much percent more than total number of towel sold on Wednesday ?
For Monday : Total number of small and large sized towel sold on Monday = 0.8 × 950 = 760 So, desired difference = \(\frac{2}{4}\) × 760 = 380 For Tuesday : Let number of large and small sized towel sold be '3x' and '2x', respectively. S, 3x - 2x = 90 x = 90 Total number of medium sized towel sold = 900 - 5 × 90 = 450 Desired Percentage = \([\frac{(900-450)}{450}]\) × 100 = 50% For Wednesday : Let number of large and small sized towel sold be '5x' and '4x' respectively. So, 5x - 4x=70 x = 70 Total number of small and large sized towel sold = 9 × 70 = 630 Total number of towel sold = \(\frac{630}{0.75}\) = 840 For Thursday : Let total number of large and small sized towels sold be 'x' and 'y' respectively. Total number of small and large sized towels sold = 750 × 0.8 = 600 So, x + y = 600 And, x - y = 40 or y - x = 40 So, x = 320 or 280 And, y = 280 or 320 So, desired ratio can be 8 : 7 or 7 : 8. For Friday : Let number of large and small sized towels sold be '4x' and '3x', respectively. So, 4x - 3x = 90 x = 90 Total number of small and large sized towels sold = 7 × 90 = 630 Total number of towels sold = \(\frac{630}{0.60}\) = 1050
Days
Total towel sold
Ratio of large to small sized towel sold
Percentage of Medium sized towel
Difference between the number of large sized and small sized towel sold
Monday
950
3 : 1
20%
380
Tuesday
900
3 : 2
50%
90
Wednesday
840
5 : 4
25%
70
Thursday
750
8 : 7 or 7 : 8
20%
40
Friday
1050
4 : 3
40%
90
Desired percentage = \([\frac{(1050-840)}{840}]\times100=25\%\) So, the correct option is (B) : 25%.