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.

The total number of item Q dispatched from C in February is 20% less than total number of item P dispatched from A in March. If ratio of total number of item P dispatched from C in March to February 5:4 respectively, then find the total number of item P&Q together dispatched from C in February.

Options

A

345

B

360

C

310

D

335

E

320

Show Answer

Correct Answer :

Option E

320

Solution :

The correct answer is 320.

Step 1: Extract data from the given line graph for the month of March.

From the graph, we can observe the values for warehouses A and C in March:

For Warehouse A (March):
Total quantity of items (P + Q) dispatched = 475
Quantity of item Q dispatched = 225
Quantity of item P dispatched from A in March = 475 - 225 = 250

For Warehouse C (March):
Total quantity of items (P + Q) dispatched = 325
Quantity of item Q dispatched = 175
Quantity of item P dispatched from C in March = 325 - 175 = 150

Step 2: Calculate the number of item Q dispatched from C in February.

It is given that the total number of item Q dispatched from C in February is 20% less than the total number of item P dispatched from A in March.

Item Q from C (Feb)=250×(1-0.20)=250×0.80=200

Step 3: Calculate the number of item P dispatched from C in February.

The ratio of total number of item P dispatched from C in March to February is 5:4.

Item P from C (March)Item P from C (Feb)=54

150Item P from C (Feb)=54

Item P from C (Feb)=150×45=120

Step 4: Find the total number of items P & Q together dispatched from C in February.

Total items (P + Q) from C in Feb=120+200=320

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