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28 Feb 2020, 19:34
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
55% (02:59) correct
45%
(02:47)
wrong
based on 114
sessions
History
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Rs. 6000 is invested at 16(2/3)% per annum simple interest. If the interest is added to the principal after every 3 years. Then after how many years the amount will become Rs. 15000?
(a) 5(1/3)
(b) 5(2/3)
(c) 7 years
(d) 6(1/3)
(e) 6(2/3)
(a) 5(1/3)
(b) 5(2/3)
(c) 7 years
(d) 6(1/3)
(e) 6(2/3)
04 Mar 2020, 03:40
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\(6000*(50/3)\)% = \(\frac{6000*(\frac{50}{3})}{100}\)= \(\frac{6000}{6}= 1000 \)
--> the first three years -- 6000+3000= 9000
\(9000*(50/3)\)% = \(\frac{9000*(\frac{50}{3})}{100}\)= \(\frac{9000}{6}= 1500 \)
--> the second three years -- 9000+ 4500= 13500
\(13500*(50/3)\)% = \(\frac{13500*(\frac{50}{3})}{100}\)= \(\frac{13500}{6}= 2250 \)
13500+ 2250 is greater than 15000. Actually, we need Rs1500 to get to the Rs 15000.
2250 -12 months
1500- x months
--> \(x= \frac{1500*12}{2250}= 8\) months
\(\frac{8 months}{12 months} = \frac{2}{3}\) year
in total, we need \(3+3+ \frac{2}{3} = 6\frac{2}{3}\) years
The answer is E.
--> the first three years -- 6000+3000= 9000
\(9000*(50/3)\)% = \(\frac{9000*(\frac{50}{3})}{100}\)= \(\frac{9000}{6}= 1500 \)
--> the second three years -- 9000+ 4500= 13500
\(13500*(50/3)\)% = \(\frac{13500*(\frac{50}{3})}{100}\)= \(\frac{13500}{6}= 2250 \)
13500+ 2250 is greater than 15000. Actually, we need Rs1500 to get to the Rs 15000.
2250 -12 months
1500- x months
--> \(x= \frac{1500*12}{2250}= 8\) months
\(\frac{8 months}{12 months} = \frac{2}{3}\) year
in total, we need \(3+3+ \frac{2}{3} = 6\frac{2}{3}\) years
The answer is E.
01 Oct 2025, 01:07
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16(2/3)% = (50/3)% = 1/6
Interest in 1st year = 6000/6 = 1000
for first 3 years = 1000*3 = 3000
Principal after 3 years = 6000+3000 = 9000
Interest in 4th year = 9000/6 = 1500
for next 3 years = 1500*3 = 4500
Principal after 6 years = 9000+4500 = 13500
Interest in 7th year = 13500/6 = 2250
which is greater than the amount we need to add the sum to 15000
2250 in 1 year
Therefore, 1500 in = (1/2250)*1500 = 2/3 years
Hence, the amount will become Rs. 15000 in 6+(2/3) years
Interest in 1st year = 6000/6 = 1000
for first 3 years = 1000*3 = 3000
Principal after 3 years = 6000+3000 = 9000
Interest in 4th year = 9000/6 = 1500
for next 3 years = 1500*3 = 4500
Principal after 6 years = 9000+4500 = 13500
Interest in 7th year = 13500/6 = 2250
which is greater than the amount we need to add the sum to 15000
2250 in 1 year
Therefore, 1500 in = (1/2250)*1500 = 2/3 years
Hence, the amount will become Rs. 15000 in 6+(2/3) years
