Synoptic revision

Can some help with the following please?
At 31st Dec 2006 closing inventory was valued at £44500
Expected sales in 2007 £2560000, inventory expected to rise by 20% by year end. Gross margin 60% after deducting cost of sales. Production overheads are £280000. What is the amount spent and materials and labour.
At 31st Dec 2006 closing inventory was valued at £44500
Expected sales in 2007 £2560000, inventory expected to rise by 20% by year end. Gross margin 60% after deducting cost of sales. Production overheads are £280000. What is the amount spent and materials and labour.
0
Comments
Best way to work this question out is first working out the cost of sales.
So if you know the gross margin is 60% of the sale then the cost of sales will be 40%.
You then work out the 20% rise on inventory, this amount is only on the closing inventory amount of 44500.
If you then add that 20% with the cost of sales it will be your estimated spend on materials and labour.
I hope this helps you a little bit.
My workings:
100% Sales £2560000
40% Cost of Sales £10240000 (2560000x40%), which includes direct mat-s and labour
60% Margin (Gross profit) £1536000 (2560000x60%)
From my point of view:
Cost of Sales = Opening inv-ry + Direct mat/labour + prod.overheds - Clos.inv.
£1024000 = £44500 + X + £280000 - £53400, where 53400 is clos inv., 44500*20%
X = £1024000 - £44500 - £280000 + £53400, so X (direct mat/labour) = £752900
Hopefully, I resolved it correctly.
Guys, please, can someone tell me if there are any mistakes?
Thanks