This economics question tests your understanding of economic models and analysis. The step-by-step answer below applies the relevant framework and explains the reasoning.

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Answer
20X0: operating\ 13.3%,\ gross\ 33.3%,\ current\ 3.3;\ 20X1: operating\ 12.5%,\ gross\ 37.5%,\ current\ 3.4;\ gearing\ increased\ 50%\ to\ 66.7%
Part (a)(i): Operating profit margin
Step 1: Year ended 31 December 20X0 (£'000)
Formula:
Sales revenue = Cost of sales + Gross profit
(£'000)
Substitute:
Simplify:
Step 2: Year ended 31 December 20X1 (£'000)
Sales revenue = Cost of sales + Gross profit
(£'000)
Substitute into formula:
Simplify:
Part (a)(ii): Gross profit margin
Step 1: Year ended 31 December 20X0 (£'000)
Formula:
Sales revenue = (£'000) from above
Substitute:
Simplify:
Step 2: Year ended 31 December 20X1 (£'000)
Sales revenue = (£'000) from above
Substitute:
Simplify:
Part (a)(iii): Current ratio
Step 1: 31 December 20X0
Formula:
(times)
Substitute:
Simplify:
Step 2: 31 December 20X1
Substitute:
Simplify:
Part (b): Gearing ratio
Step 1: Formula (long-term debt to equity gearing):
Step 2: 31 December 20X0 (£'000)
Substitute:
Step 3: 31 December 20X1 (£'000)
Substitute:
Comment: The gearing ratio has increased from 50% in 20X0 to 66.7% in 20X1. This indicates higher financial leverage and greater financial risk due to a relatively larger proportion of debt financing compared to equity. Non-current liabilities doubled while equity increased by 50%, contributing to the upward trend in gearing.
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Part (a)(i): Operating profit margin Step 1: Year ended 31 December 20X0 (£'000) Formula: Operating profit margin = Operating profitSales revenue × 100\% Sales revenue = Cost of sales + Gross profit 1000 + 500 = 1500 (£'000) Substitute: (200)/(1500) ×…
This economics question tests your understanding of economic models and analysis. The step-by-step answer below applies the relevant framework and explains the reasoning.