Naman Ltd. currently makes all sales on credit and offers no cash discount. It is considering a 2% cash discount for payment within 10 days. The firm's current average collection period is 60 days, sales are 2,00,000 uni

CS Professional · Financial, Treasury and Forex Management · PYQS · December 2018
Naman Ltd. currently makes all sales on credit and offers no cash discount. It is considering a 2% cash discount for payment within 10 days. The firm's current average collection period is 60 days, sales are 2,00,000 units, selling price is ₹ 30 per unit, variable cost per unit is ₹ 20 and average cost per unit is ₹ 25 at current sales volume. It is expected that the change in credit terms will result in increase in sales to 2,25,000 units and the average collection period will fall to 45 days. However, due to increased sales, increased working capital required will be ₹ 1,00,000 (it does not take into account the effect on debtors). Assuming that 50% of the total sales will be on cash discount and 20% is the required return on investment, should the proposed discount be offered ? Assume 360 days in a year. Give your assessment.

Answer & Explanation:

Effect of extending cash discount to customer Particulars Amount (₹) Increased sales revenue (25,000 * ₹ 30) 7,50,000 Less: variable cost (25,000 * ₹ 20) (5,00,000) Incremental contribution 2,50,000 Add: savings in cost due to decrease in investment in debtors (W.N 1) 29,167 Less: cost of additional working capital requirement (₹ 1,00,000 * 0.20) (20,000) Less: cost involved in cash discount (0.02 * 2,25,000 * ₹ 30 * 0.5) (67,500) Profit 1,91,667 Working notes (W.N 1) Saving due to decrease in average collection period: Present investment in debtors (without cash discount) = (2,00,000 units * ₹ 25 * 60 days) / 360 days = ₹ 8,33,333 Decrease in investment in debtors (with cash discount) = ((2,00,000 units * ₹ 25) + (25,000 units * ₹ 20)) * 45 days / 360 days = (50,00,000 + 5,00,000) * 45 / 360 = 55,00,000 * 45 / 360 = ₹ 6,87,500 Decrease in investment in debtors = ₹ 8,33,333 - ₹ 6,87,500 = ₹ 1,45,833 Savings in cost = ₹ 1,45,833 * 0.20 = ₹ 29,167 Decision: It is advised that the firm should offer cash discount to its customer as it results in an additional profit of ₹ 1,91,667.

Topics: Working Capital Management

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