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The budgeted per unit cost data of a toy manufacturing company is :

Material₹ 18
Labour₹ 09
Variable overheads₹ 08
Selling price₹ 50

Budgeted production and sales is 1,50,000 units. Fixed overhead incurred is ₹ 4,00,000.

The total profit, if price is decreased by 25% and volume of sales increase by 30%, is :

  • A.₹ 87,500
  • B.₹ 61,900
  • C.₹ 70,650
  • D.₹ 55,600

Answer: A

The new total profit is ₹ 87,500.

Variable cost per unit stays at 18 + 9 + 8 = ₹ 35. The new price is 75 percent of ₹ 50, and the new volume is 130 percent of 1,50,000 units:

\[ \begin{aligned} \text{Price} &= 50 \times 0.75 = 37.50 \\ \text{Units} &= 150000 \times 1.30 = 195000 \\ \text{Contribution/unit} &= 37.50 - 35 = 2.50 \end{aligned} \]

\[ \begin{aligned} \text{Contribution} &= 195000 \times 2.50 = 487500 \\ \text{Profit} &= 487500 - 400000 = 87500 \end{aligned} \]

The fixed overhead of ₹ 4,00,000 does not change with volume. The other figures do not follow from the data: the price cut squeezes the unit contribution from ₹ 15 to ₹ 2.50, and the extra 30 percent volume only partly makes up for it, so profit falls from ₹ 18,50,000 to ₹ 87,500.

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