Juan invested part of ₱15,000 in a fund which earned 8% and invested the rest in stocks which suffered a 12% loss. At the end of the year his net profit was ₱200. How much did he invest in stocks?1 pointA. ₱5,000B. ₱7,000C. ₱ 8,000D. ₱10, 000
Question
Juan invested part of ₱15,000 in a fund which earned 8% and invested the rest in stocks which suffered a 12% loss. At the end of the year his net profit was ₱200. How much did he invest in stocks?1 pointA. ₱5,000B. ₱7,000C. ₱ 8,000D. ₱10, 000
Solution
Let's denote the amount Juan invested in the fund as F and the amount he invested in stocks as S. We know that the total amount he invested is ₱15,000, so we can write the equation:
F + S = ₱15,000
We also know that the fund earned 8% and the stocks suffered a 12% loss. At the end of the year, his net profit was ₱200. This gives us another equation:
0.08F - 0.12S = ₱200
We now have a system of two equations, and we can solve it step by step.
First, let's express F from the first equation:
F = ₱15,000 - S
Now we can substitute F in the second equation:
0.08(₱15,000 - S) - 0.12S = ₱200 ₱1,200 - 0.08S - 0.12S = ₱200 ₱1,000 = 0.2S
From this, we find that S = ₱5,000. So, Juan invested ₱5,000 in stocks. The answer is A. ₱5,000.
Similar Questions
ct answerA, B, C start a business each investing Rs 20,000. After 5 month A withdraws Rs 5,000, B withdraws Rs 4,000 & C invests Rs 6,000 more. At the end of the year, a total profit of Rs 69,900 was recorded. Find the share of A?
A sold a car to B at a profit of 25%.B incurred loss of 15% while selling the same car to C.A spent Rs.50000 for this car.At what price did C buy it?Rs.62,500Rs.60,000Rs.53,125Rs.90,000
The c.p of 10 pens is equal to s.p of 12 pens.Find his gain% or loss%.A33.24% profitB20% profit
Select the correct answerA and B entered into partnership with capitals in the ratio 4:5. After 3 months, A withdrew 14 of his capital and B withdrew 15 of his capital. At the end of 10 months, the gain was Rs.7,600. What is A′s share in the profit?Options3,3003,1004,300
Rs.15000 were invested by Ram and Shyam together to start a small business.They got a profit of Rs.2000 at the end of the year.Shyam took his profit share of Rs.600.How much did Ram invest?Rs.9000Rs.4500Rs.10500Rs.11000
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.