Directions : Given graph shows the number of orders received and cancelled on…

2019

Directions : Given graph shows the number of orders received and cancelled on particular days of a week (From Monday to Saturday) while the table shows the number of orders which were not delivered. Read the data carefully and answer the questions.

(NOTE: Refer Y-Axis values as number of orders while X-Axis values as Days i.e. 20 = Monday, 40 = Tuesday and so on)
(Orders continued/booked are those which are not cancelled)
Some data is missing in the given graph.
Orders Booked = Orders Received – Orders Cancelled
Orders Delivered = Orders Booked – Orders not delivered

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if ratio of orders received on Thursday & Friday together to orders delivered on Monday, Wednesday & Saturday together is 65 : 34 and orders cancelled on Tuesday are 10% less than that on Wednesday and orders cancelled on Saturday is same as difference between orders not delivered on Friday and orders cancelled on Tuesday then how many total orders were booked in these 6 days together?

  1. A.

    2850

  2. B.

    2450

  3. C.

    2280

  4. D.

    None of these

  5. E.

    2170

Show answer & explanation

Correct answer: C

Concept

In an order-flow data-interpretation chain, every stage is derived from the one before it by a fixed identity: Orders Booked = Orders Received minus Orders Cancelled, and Orders Delivered = Orders Booked minus Orders not delivered. When a value is missing from the chart, it must be recovered using the textual constraints (a percentage relation, a difference relation, or a given ratio) before any aggregate can be summed.

Reading the chart

Using the axis key (20 = Monday, 40 = Tuesday, ..., 120 = Saturday):

  • Orders Received: Mon 600, Tue 400, Wed 500, Thu 600, Fri missing, Sat 400.

  • Orders Cancelled: Mon 200, Tue missing, Wed 200, Thu 240, Fri 80, Sat missing.

  • Orders not delivered (table): Mon 120, Tue 80, Wed 160, Thu 300, Fri 200, Sat 120.

Application: recovering the missing values

  1. Cancelled on Tuesday is 10% less than on Wednesday: 200 minus 10% of 200 = 200 minus 20 = 180.

  2. Cancelled on Saturday equals the difference between orders not delivered on Friday (200) and orders cancelled on Tuesday (180): 200 minus 180 = 20.

  3. Recover Friday's received from the ratio. First compute Delivered for Mon, Wed, Sat using the two identities:

  4. Monday delivered = (600 minus 200) minus 120 = 400 minus 120 = 280.

  5. Wednesday delivered = (500 minus 200) minus 160 = 300 minus 160 = 140.

  6. Saturday delivered = (400 minus 20) minus 120 = 380 minus 120 = 260.

  7. So Delivered (Mon + Wed + Sat) = 280 + 140 + 260 = 680.

  8. Given Received(Thu + Fri) : Delivered(Mon + Wed + Sat) = 65 : 34, the Thu+Fri received total = 680 x 65 / 34 = 1300. Since Thursday received = 600, Friday received = 1300 minus 600 = 700.

Total orders booked over the six days

Booked = Received minus Cancelled for each day:

  1. Monday: 600 minus 200 = 400.

  2. Tuesday: 400 minus 180 = 220.

  3. Wednesday: 500 minus 200 = 300.

  4. Thursday: 600 minus 240 = 360.

  5. Friday: 700 minus 80 = 620.

  6. Saturday: 400 minus 20 = 380.

Total booked = 400 + 220 + 300 + 360 + 620 + 380 = 2280.

Cross-check

The recovered Friday received (700) satisfies the source ratio exactly: Received(Thu+Fri) = 600 + 700 = 1300 and Delivered(Mon+Wed+Sat) = 680, and 1300 : 680 reduces to 65 : 34, confirming the missing values are consistent with all stated conditions.

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