Simple interest
- Rashim lent ₹ 600 to Geeta for 2 yr and ₹ 150 to Seeta 4 yr and received altogether ₹ 80 as simple interest from both. Find the rate of interest.
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Given. T1 = 2 yr and T2 = 4 yr,
P1 = 600, P2 = 150.
According to the question,
SI1 + SI2 = 80
[(600 x R x 2)/100] + [(150 x R x 4)/100] = 80Correct Option: D
Given. T1 = 2 yr and T2 = 4 yr,
P1 = 600, P2 = 150.
According to the question,
SI1 + SI2 = 80
[(600 x R x 2)/100] + [(150 x R x 4)/100] = 80
⇒ 120R + 60R = 800
⇒ 180R = 800
∴ R = 800/180 = 80/18 = 40/9
= 44/9%
- The simple interest of a sum of money is 1/144 of the principal and the number of years is equal to the rate per cent per annum. What will be the rate per cent per annum ?
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Let the principal be P.
Then, according to the question,
(P x T x T) / 100 = P/144 [∵ time and rate are equalCorrect Option: B
Let the principal be P.
Then, according to the question,
(P x T x T) / 100 = P/144 [∵ time and rate are equal]
⇒ T2 = 100/144
∴ T = 10/12 = 5/6 %
- The simple interest on a sum of money is 1 / 16 of the principal and the number of years is equal to the rate per cent annum. Find the rate per cent.
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Let principal = P, time = T and rate = T
According to the question,
(P x T x T) / 100 = P/16 [∵ time and rate are equal]Correct Option: A
Let principal = P, time = T and rate = T
According to the question,
(P x T x T) / 100 = P/16 [∵ time and rate are equal]
⇒ T2 = 100/16
or T = 10/4 = 5/2 = 21/2 %
- The principle on which a simple interest of ₹ 55 will be obtained after 9 months at the rate of 32/3% per annum is
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Let. principal = P
Given, SI = 55, Time T = 9 months = 9/12 yr,
Rate R = 32/3% = 11/3 %
∴ SI = (P x R x T) / 100
⇒ P = (100 x SI) / (R x T)Correct Option: C
Let. principal = P
Given, SI = 55, Time T = 9 months = 9/12 yr,
Rate R = 32/3% = 11/3 %
∴ SI = (P x R x T) / 100
⇒ P = (100 x SI) / (R x T)
⇒ (55 x 100) / [(11 x 9) / (3 x 12)] = 2000
∴ Principal (P) = ₹ 2000
- The simple interest on a sum of money will be ₹ 200 after 5 yr In the next 5 yr principal is tripled. What will be the total interest at the end of the 10th yr ?
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According to the question,
SI for 5 yr = ₹ 200
∴ Total SI for 10 yr = 200 + 600 = ₹ 800Correct Option: C
According to the question,
SI for 5 yr = ₹ 200
∴ Total SI for 10 yr = 200 + 600 = ₹ 800
When principal is trebled, then SI for 5 yr will also be treble and hence
SI for next 5 yr will be ₹ (200 x 3) i.e., ₹ 600.