Question Details

Directions (31-35):The Line graph shows total number of quantities of items (P + Q) dispatched and number of quantities of item ‘Q’ dispatched out of total items of P & Q dispatched from four (A, B C & D) different warehouses in the month of march. Read the following line chart carefully and answer the questions given below.

Find the ratio of total number of item P dispatched from D and A together to that of B and C together.

Options

A

17:21

B

29:16

C

11:24

D

35:18

E

13:21

Show Answer

Correct Answer :

Option B

29:16

Solution :

The correct answer is 29:16.

Step 1: Understand the given line chart
The line graph provides data regarding items dispatched from four warehouses (A, B, C, and D):
1. Blue line: Total quantity of items (P + Q) dispatched.
2. Red line: Quantity of item Q dispatched.
To find the quantity of item P dispatched from any warehouse, we subtract the quantity of item Q from the total quantity (P + Q):

Quantity of item P = Total items (P + Q) - Item Q

Step 2: Calculate the quantity of item P for each warehouse

Warehouse A:
Total items (P + Q) = 480
Item Q = 220

Item P=480-220=260

Warehouse B:
Total items (P + Q) = 560
Item Q = 380

Item P=560-380=180

Warehouse C:
Total items (P + Q) = 320
Item Q = 180

Item P=320-180=140

Warehouse D:
Total items (P + Q) = 640
Item Q = 320

Item P=640-320=320

Step 3: Calculate total item P for (D + A) and (B + C)

Item P dispatched from D and A together:

Total (D + A)=320+260=580

Item P dispatched from B and C together:

Total (B + C)=180+140=320

Step 4: Find the required ratio

Ratio of item P dispatched from (D + A) to (B + C):

Ratio=580:320

Dividing both sides by 20:

58020:32020=29:16

Therefore, the required ratio is 29:16.

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