Kekurt:
The logic of the problem is to find the percentage of net income to sales, since the only figure given in the problem is the amount of net income.
Percent means parts per hundred. The word comes from the Latin phrase per centum, which means per hundred. - http://www.mathgoodies.com/lessons/v...g_percent.html.
In this problem, the 100% is the Sales. The formula in getting net income is:
Sales 100%
Less:
Cost of Sales ?%
Selling Expenses 10%
Administrative Expenses 15%
Bad debts expense 3%
NET INCOME ?%
As you can see in the formula, there are two unknown. (1) The % of Cost of Sales to Sales and (2) Net income to Sales.
The problem provides a hint in getting the 1st unkown (The % of Cost of Sales to Sales).
"it is ascertained that the administrative expense is 25% of cost of sale...."
Please see the formula above. Administrative Expense is 15% of SALES. And the hint says that Administrative Expense is 25% of COST OF SALES. From here, we can derive the % of Cost of Sales to Sales.
How? We can apply our knowledge in ratios. hehe.
25 : 100 = 15 : ?
25% is to 100% is the ratio of Administrative Exp to COS.
15% is to ? is also the ratio of Administrative Exp to COS.
Kaso in the 2nd ratio, we used the % of Admin Exp na 15% to Sales para mahanap din natin *** % ng COS sa Sales.
So, if we divide 25% by 100% we get 25%. Since equal ang formula (25 : 100 = 15 : ?), dapat ang quotient din ng pangalawang ratio ay 25%.
15% / ? = 25%.
? = 15%/25%
? = .60 or 60%
60% is the ratio of COS sa Sales.
We can now compute the ratio of Net Income to Sales.
Sales 100%
Less:
Cost of Sales 60%
Selling Expenses 10%
Administrative Expenses 15%
Bad debts expense 3%
NET INCOME ?%
By subtracting % of COS, Selling exp, Admin exp and Bad debts exp from 100% (100%-60%-10%-15%-3%) we get 12%. This is the % of Net Income to Sales.
Hehe, puede na natin makuha ang amount ng Sales by dividing the amount of Net Income sa % ng Sales. so P480,000/12% = P4,000,000.
Mejo mahaba computation kasi dinetail q para mas maintindihan ng mga nasa undergrad. Ganun din kasi ** dati, di q maintindihan qng bakit ididivide, itatimes.. hehe.. u can post follow up questions if di pa rin malinaw.
Sa ating minamahal na mga mentors, u can post your own explanations to this problem. Hindi kasi algebraic approach q.








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