If the average number of orders returned from Tuesday to Sunday of week III is 30 then the number of...........

Quantitative Aptitude (SBI-PO) Line Chart

Direction: Study the line graph given below to answer the following questions.
The line graph given below shows the percentage of orders delivered from Monday to Saturday of week III out of the orders received on Sunday of Week II and it also shows the number of orders returned on any given day as a percentage of total number of orders delivered till previous day.

Note:
• Number of orders which were yet to be delivered after Saturday of week III were 25.
• Orders cannot be returned on the same day of delivery. It has to be returned on next day of delivery and no order was returned on Sunday of Week III.

If the average number of orders returned from Tuesday to Sunday of week III is 30, then the number of orders returned on Sunday of week III is what percent more/less than the number of orders returned on Tuesday of week III?

50% more

87.5% less

62.5% more

87.5% more

62.5% less

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Explanation:

Total percentage of orders delivered from Monday to Saturday of week III =
16% + 12% + 24% + 20% + 8% + 15% = 95%
Remaining Orders = 100% – 95% = 5%
It is given that, number of orders which were not delivered = 25
Thus, 5% of total orders = 25
So, total number of orders received on Sunday of week II = 25 ×100/5 = 500
Now, we can calculate the number of orders delivered on each day and also the number of orders which were returned.

Average number of orders returned from Tuesday to Sunday = 30

Total number of orders returned from Tuesday to Sunday = 30 × 6 = 180 Number of orders returned on Sunday of week III = 180 – (24 + 14 + 39 + 18 + 40) = 45

Required Percentage = (45-24)/ 24 × 100 = 87.5% more

Hence, option 4 is the correct answer.