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Q.Calculate opening and closing trade receivables from the following information : Trade Receivable turnover ratio 4 times; Cost of Revenue from Operations ₹ 3,20,000; Gross profit ratio 20%; Closing trade receivables were ₹ 15,000 more than opening trade receivables; cash revenue from operations being 33 1/3 % of credit revenue from operations.

(OR)
The Quick Ratio of a company is 1·5 : 1. State, giving reasons, which of the following transactions will improve, reduce or not change the quick ratio :
(i) Purchase of goods for cash
(ii) Bills payable paid at maturity
(iii) Sale of goods costing ₹ 18,000 for ₹ 16,000
(iv) Cash collected from debtors
CBSECBSE Class XII Board 2019Subjective· 4mImportance★★★★★
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Part (a): Opening Trade Receivables = ₹67,500; Closing Trade Receivables = ₹82,500.

Part (b): Quick ratio effects — (i) Reduces, (ii) Improves, (iii) Improves, (iv) No change.

Part (a)

Only credit sales create trade receivables, so we work back to credit revenue and then use the turnover ratio.

Working Note 1 — Revenue from Operations. Gross Profit Ratio 20% ⇒ Cost = 80% of Revenue. Revenue = 3,20,000 ÷ 80% = ₹4,00,000.

Working Note 2 — Credit Revenue from Operations. Cash Revenue = 33⅓% of Credit = 1/3 of Credit. Let Credit = x; Total = x + x/3 = 4x/3 = 4,00,000 ⇒ x = ₹3,00,000.

Working Note 3 — Average Trade Receivables. Trade Receivables Turnover Ratio = Credit Revenue ÷ Average Trade Receivables ⇒ 4 = 3,00,000 ÷ Average ⇒ Average = ₹75,000.

Working Note 4 — Opening and Closing. Let Opening = y, Closing = y + 15,000. Average = (y + y + 15,000) ÷ 2 = 75,000 ⇒ 2y + 15,000 = 1,50,000 ⇒ 2y = 1,35,000 ⇒ y = ₹67,500. Closing = 67,500 + 15,000 = ₹82,500.

Check: Average = (67,500 + 82,500) ÷ 2 = 75,000; Turnover = 3,00,000 ÷ 75,000 = 4 times. …

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