Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is

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INSURANCE EXAMS (LIC) 2013 click here to view all questions

Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is

A$\text{4%}$

B$\text{6%}$

C$\text{4.5%}$

D$\text{6.5%}$

upendra ? undefined

Correct answer is: \(\text{4%}\)

Explanation:

Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:

\(\text{Given: Simple interest } (SI) = 16\% \text{ of the sum} \)

\(SI = \frac{P \times R \times T}{100} \)

\(\frac{16P}{100} = \frac{P \times R \times R}{100} \)

\(16 = R^2\)

\(R = \sqrt{16}\)

\(R = 4\)

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A sum of money at simple interest amounts to Rs. 14,160 in 3 years. If the rate of interest is increased to 25%, the same sum amounts to Rs. 14,700 in the same time. The rate of interest is 5% $5 \frac{1}{2}$ 6% 7%

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A sum of money at simple interest amounts to Rs. 14,160 in 3 years. If the rate of interest is increased to 25%, the same sum amounts to Rs. 14,700 in the same time. The rate of interest is

A$\text{5%}$

B$5 \frac{1}{2}$

C$\text{6%}$

D$\text{7%}$

upendra ? undefined

Correct answer is: 6%

Explanation:

\(\Large P+\frac{Pr \times 3}{100} = 14160\)

\(\Large P + P \times \frac{5r}{400} \times 3 = 14700\)

\(\left[ Rate\ of\ Int. = r + \frac{25}{100} r \right]\)

(By Ii) and (ii)

\(\Large P + \frac{5}{4} \left(14160-P\right)\)

\(=> 4P + 70800 - 5P = 58800\)

\(=> P = 70800 - 58800 - 12000\)

\(\text{Therefore, From equation (i),}\)

\(\Large 12000+\frac{12000 \times r \times 3}{100}\)

\(\Large 120 \times 3 \times r = 14160 - 12000 = 2160\)

\(=> \Large r = \frac{2160}{120 \times 3}\)

\(r = 6 \text{%}\)

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Veena obtained an amount of Rs. 8,376 as simple interest on a certain amount at 8 p.c.p.a. after 6 years. What is the amount invested by Veena ?

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Veena obtained an amount of Rs. 8,376 as simple interest on a certain amount at 8 p.c.p.a. after 6 years. What is the amount invested by Veena ?

ARs.17,180

BRs. 18,110

CRs. 16,660

DRs. 17,450

upendra ? undefined

Correct answer is: Rs. 17,450

Explanation:

\(\eqalign{ & {\text{S}}{\text{.I}}{\text{.}} = {\text{Rs}}{\text{.8376}} \cr & {\text{R}} = 8\% \cr & {\text{T}} = {\text{6}}\,{\text{years}}. \cr & \therefore {\text{Sum}} = \cr & {\text{Rs}}{\text{.}}\left( {\frac{{100 \times 8376}}{{8 \times 6}}} \right) \cr & = {\text{Rs}}{\text{. }}17450 \cr}\)

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A certain amount earns simple interest of Rs. 1,750/- after 7 years. Had the interest been 2% more, how much more interest would it have earned ?

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A certain amount earns simple interest of Rs. 1,750/- after 7 years. Had the interest been 2% more, how much more interest would it have earned ?

ARs. 35/-

BRs. 350/-

CRs. 245/-

DCannot be determined

upendra ? undefined

Correct answer is: Cannot be determined

Explanation:

We need to know the S.I., principal and time to find the rate.
Since the principal is not given, so data is inadequate.

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Rs. 800 becomes Rs. 956 in 3 years at certain simple rate of interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years ?

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Rs. 800 becomes Rs. 956 in 3 years at certain simple rate of interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years ?

ARs. 1020.8

BRs. 1025

CRs. 1025

DData inadequate

upendra ? undefined

Correct answer is: Rs. 1025

Explanation:

SI = 956 – 800 = 156 Rs.

\(\therefore Rate = \frac{SI\times 100}{Prin.\times Time}\)

\(= \frac{156\times 100}{800\times 3} = 6.5\%\ per\ annum\)

\(\text{∴ New rate = 10.5% }\)

\(\therefore SI = \frac{PRT}{100}\)

\(\frac{800\times 3\times 10.5}{100} = 252\ Rs.\)

\(∴ Amount = 800 + 252 = 1052 Rs.\)

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Srinivasan invests two equal amounts in two banks giving 10% and 12% rate of interest respectively. At the end of year the interest earned is Rs. 1650/-. Find the sum invested in each.

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Srinivasan invests two equal amounts in two banks giving 10% and 12% rate of interest respectively. At the end of year the interest earned is Rs. 1650/-. Find the sum invested in each.

ARs. 8,500/-

BRs. 15,000/-

CRs. 7,500/-

DRs. 17,000/-

upendra ? undefined

Correct  answer is: Rs. 7,500/-

Explanation:

Let sum be Rs.x
According to the question,
\(\Large \frac{x \times 10 \times 1}{100}+\frac{x \times 12 \times 1}{100} = 1650\)
\(22x = \Large 1650 \times 100\)
\(x = \Large \frac{165 \times 100}{22}\)
\(=Rs.7500\)

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A sum of Rs. 5000/- amounts to Rs. 6,050/ - in two years.What is the rate of interest ? 15% p.a. 13% p.a. 11% p.a. 21% p.a.

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A sum of Rs. 5000/- amounts to Rs. 6,050/ - in two years.What is the rate of interest ?

A15% p.a.

B13% p.a.

C11% p.a.

DNone of these

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Mr. A lends 40% of sum at 15% p.a. 50% of rest sum at 10% p.a. and the rest at 18% p.a. rate of interest. What would be the rate of interest if the interest is calculated on the whole sum ?

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Mr. A lends 40% of sum at 15% p.a. 50% of rest sum at 10% p.a. and the rest at 18% p.a. rate of interest. What would be the rate of interest if the interest is calculated on the whole sum ?

A13.4% p.a.

B14.33% p.a.

C14.4% p.a.

D13.33% p.a.

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What will be the difference between the interest accrued on a sum of Rs. 4500 at 12% per annum for 2 years and that on a sum of Rs. 5600 at 9% per annum for 2 years ?

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What will be the difference between the interest accrued on a sum of Rs. 4500 at 12% per annum for 2 years and that on a sum of Rs. 5600 at 9% per annum for 2 years ?

ARs 75

BRs 72

CRs 69

DRs 76

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A sum of Rs. 16800 is divided into two parts. One part is lent at the simple interest of 6% per annum and the other at 8% per annum. After 2 years total sum received is Rs. 19000. The sum lent at 6% of simple interest is

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A sum of Rs. 16800 is divided into two parts. One part is lent at the simple interest of 6% per annum and the other at 8% per annum. After 2 years total sum received is Rs. 19000. The sum lent at 6% of simple interest is

ARs. 12200

BRs. 1200

CRs. 11000

DRs. 10000

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A sum of Rs. 2200 is invested at two different rates of interest. The difference between the interests got after 4 years is Rs. 202.40. What is the difference between the rates of interest ?

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A sum of Rs. 2200 is invested at two different rates of interest. The difference between the interests got after 4 years is Rs. 202.40. What is the difference between the rates of interest ?

A3.30%

B2.30%

C3.50%

D2.50%

upendra ? undefined

Correct answer is: 2.30%

Explanation:

If the rate of interest be \(\Large r_{1}\% \text{ and}\ r_{2}\%\) per an num,

then, \(\Large \frac{2200 \times 4 \left(r_{1}-r_{2}\right) }{100}\) = 202.40

\(\Large r_{1}-r_{2}=\frac{202.40 \times 100}{2200 \times 4}\)

= 2.3% per annum

 

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A sum of Rs. 3200 becomes Rs 3456 in two years at a certain rate of simple interest. What is the rate of interest per annum ?

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A sum of Rs. 3200 becomes Rs 3456 in two years at a certain rate of simple interest. What is the rate of interest per annum ?

A5.50%

B6%

C4%

D4.50%

Updendra ? Jan 16 '2018 at 9:44

Interest = 3456 - 3200 = Rs.256

Therefore, Rate = $\Large \frac{S.I. \times 100}{Principal \times Time}$

=$\Large \frac{256 \times 100}{3200 \times 2}$ = 4% per annum

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