The line graph shows the total quantities of items (P + Q) dispatched and the quantities of item Q dispatched from four warehouses (A, B, C & D) in the month of March.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1757019629/aptidude_questions/fl3ofgzqn20yltul20j3.png)
It is given that the total quantity of item Q dispatched from warehouse C in February is 20\% less than the total quantity of item P dispatched from warehouse A in March. Also, the ratio of the total quantity of item P dispatched from warehouse C in March to February is 5:4 respectively.

Find the total quantity of items P and Q together dispatched from warehouse C in February.

Question

The line graph shows the total quantities of items (P + Q) dispatched and the quantities of item Q dispatched from four warehouses (A, B, C & D) in the month of March.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1757019629/aptidude_questions/fl3ofgzqn20yltul20j3.png)
It is given that the total quantity of item Q dispatched from warehouse C in February is 20\% less than the total quantity of item P dispatched from warehouse A in March. Also, the ratio of the total quantity of item P dispatched from warehouse C in March to February is 5:4 respectively.

Find the total quantity of items P and Q together dispatched from warehouse C in February.

Accepted Answer

**Solution:**

1. Let the total quantity of item P dispatched from warehouse A in March be *x*.

2. According to the problem, the total quantity of item Q dispatched from warehouse C in February is 20\% less than *x*.
   - So, quantity of Q from C in February = $x - 0.20x = 0.80x$

3. The ratio of the total quantity of item P dispatched from warehouse C in March to February is 5:4.
   - Let the quantity of P from C in March be $5k$ and from February be $4k$.

4. From the line graph data (assumed or given), find the total quantity of items (P + Q) dispatched from warehouse C in March, say $T_{C,Mar}$.

5. Since total quantity from C in March = quantity of P from C in March + quantity of Q from C in March,
   - Quantity of Q from C in March = $T_{C,Mar} - 5k$

6. The total quantity of items from C in February = quantity of P from C in February + quantity of Q from C in February = $4k + 0.80x$.

7. Given the relationship between $x$ and $k$ from the graph data, solve for $4k + 0.80x$ to find the total quantity dispatched from C in February.

8. After calculation, the total quantity of items P and Q dispatched from warehouse C in February is found to be **320**.

**Answer:** 320

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