SOLUTION
Case 1
Credit Sales = 3,00,000
Cash sales = 25% of Credit Sales
Cash Sales =3,00,000 × 25 / 100
=75,000
Total Sales = Cash Sales + Credit Sales
= 3,00,000 + 75,000
= 3,75,000
Gross Profit = 20% on Sales
Gross profit = 3,75,000 × 20 / 100
= 75000
Cost of Goods Sold = Total Sales − Gross Profit
= 3,75,000 − 75,000
= 3,00,000
Average Stock | = Opening Stock + Closing Stock / 2 |
= 40,000 + 1,60,000 / 2 = 1,00,000 |
Stock turnover ratio | = Cost of Goods sold / Average Stock |
= 3,00,000 / 1,00,000 = 3 Times |
Case 2
Let Total Sales = x
Cash sales = Total sales × 20 / 100
Cash sales = X × 20 / 100
= 20X / 100
Total Sales = Cash Sales + Credit Sales
X = 20X / 100 + 4,50,000
Or, X – 20X / 100 = 4,50,000
Or , 80X / 100 = 4,50,000
Or , X = 5,62,500
Gross Profit = a × 25 / 100
= 25a / 100
Gross Profit = Sales − Cost of Goods Sold
25a / 100 = 5,62,500 – a
Or a+ / 100 = 5,62,500
Or 125a / 100 = 5,62,500
Or, a = 4,50,000
Cost of goods sold = a = 4,50,000
Average Stock | = Opening Stock + Closing Stock / 2 |
= 37,000 + 1,32,500 / 2 = 75,000 |
Stock turnover ratio | = Cost of Goods sold / Average Stock |
= 4,45,000 / 75,000 = 6 Times |