08. The Simple Interest on $768 for 5 years at 20% p.a. is: Ops: A. $768 B. $828 C. $688 D. $728 Q 09. Stuart completed a piece of work alone in 16 days. What fraction of work was completed by him in 6 days? Ops: A. 3/8 B. 3/4 C. 5/8 D. 3/5 Q 10. David invested $3200 under a compound interest of 16% per annum in JAKE Investment Bank. If the interest rate was compounded half-yearly, then find the amount received by him after a year. Ops: A. $3732.48 B. $4230.8 C. $3214.5 D. $4370.4 Q 11. Samuel can do a piece of work in 12 days and Bruce can do it in 6 days. If Carl, who can do the work in 16 days, joins them, then how long will they take to together complete the work? Ops: A. 7/8 days B. 16/5 days C. 24/5 days D. 13/25 days
Question
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The Simple Interest on $768 for 5 years at 20% p.a. is:
Ops: A. 828 C. 728
Q 09. Stuart completed a piece of work alone in 16 days. What fraction of work was completed by him in 6 days? Ops: A. 3/8 B. 3/4 C. 5/8 D. 3/5
Q 10. David invested 3732.48 B. 3214.5 D. $4370.4
Q 11. Samuel can do a piece of work in 12 days and Bruce can do it in 6 days. If Carl, who can do the work in 16 days, joins them, then how long will they take to together complete the work? Ops: A. 7/8 days B. 16/5 days C. 24/5 days D. 13/25 days
Solution
Sure, let's solve these problems one by one.
Q 08. The formula for simple interest is I = PRT/100, where P is the principal amount, R is the rate of interest, and T is the time in years.
So, I = 768 * 20 * 5 / 100 = 768.
Q 09. If Stuart completed the work in 16 days, then in 1 day he completes 1/16 of the work. Therefore, in 6 days, he completes 6/16 = 3/8 of the work. So, the answer is A. 3/8.
Q 10. The formula for compound interest is A = P(1 + r/n)^(nt), where P is the principal amount, r is the annual interest rate, t is the time the money is invested for in years, and n is the number of times that interest is compounded per year.
Here, P = $3200, r = 16/100 = 0.16, t = 1 year, and n = 2 (since it's compounded half-yearly).
So, A = 3200(1 + 0.16/2)^(2*1) = 3732.48.
Q 11. The rate at which Samuel, Bruce, and Carl work is 1/12, 1/6, and 1/16 respectively. If they work together, their combined rate is 1/12 + 1/6 + 1/16 = 5/48. Therefore, they will complete the work in 48/5 = 24/5 days. So, the answer is C. 24/5 days.
Similar Questions
The Simple Interest on $768 for 5 years at 20% p.a. is: Ops: A. $688 B. $768 C. $828 D. $728 Q 12. Stuart completed a piece of work alone in 16 days. What fraction of work was completed by him in 6 days? Ops: A. 3/5 B. 3/4 C. 3/8 D. 5/8
David invested $3200 under a compound interest of 16% per annum in JAKE Investment Bank. If the interest rate was compounded half-yearly, then find the amount received by him after a year. Ops: A. $4230.8 B. $3214.5 C. $4370.4 D. $3732.48
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