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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When one litre of water is added to a mixture of acid and water, the new mixture contains 20% acid. When one litre of acid is added to the new mixture, then the resulting mixture contains $33\frac{1}{3}$% acid. The percentage of acid in the original mixture was

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When one litre of water is added to a mixture of acid and water, the new mixture contains 20% acid. When one litre of acid is added to the new mixture, then the resulting mixture contains $33\frac{1}{3}$% acid. The percentage of acid in the original mixture was

A20 %

B22 %

C24 %

D25 %

Nithin ? undefined

Correct answer is: 25 %

Explanation:

If there be 1 litre of acid in 4 litres of mixture, then in case 1,
Percentage of acid

\(= \frac{1}{4+1} \times 100 = 20 \text{%}\)

Case ll.
Percentage of acid

\(= \frac{2}{6} \times 100 = \frac{100}{3}=33\frac{1}{3}\text{%}\)

Therefore, Percentage of acid in original 1 mixture = \(= \frac{1}{4} \times 100 \)

\(= 25 \text{%}\)

 

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A person bought 864 articles and sold 800 of them for the price he paid for 864 articles. He sold the remaining articles at the same price per article as the other 800. The percentage gain on the entire transaction is

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A person bought 864 articles and sold 800 of them for the price he paid for 864 articles. He sold the remaining articles at the same price per article as the other 800. The percentage gain on the entire transaction is

A$\text{7.5%}$

B$\text{8%}$

C$\text{8.5%}$

D$\text{9%}$

nithin ? Aug 10 '2022 at 21:6

Correct answer is: \(\text{8%}\)

Explanation:

Profit per cent

\(=\Large \frac{864 - 800}{800} \times 100\)

\(=\Large \frac{64}{800} \times 100 = \text{8 %}\)

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Four numbers are written in a row. The average of first two numbers is 7, the average of the middle two terms is 2.3 and the average of the last two numbers is 8.4. The average of first number and the last number is

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Four numbers are written in a row. The average of first two numbers is 7, the average of the middle two terms is 2.3 and the average of the last two numbers is 8.4. The average of first number and the last number is

A5.9

B10.7

C13.1

Dcannot be determined

Akilesh Kharvi ? Jun 28 '2020 at 21:27

Correct anwer is: 13.1

Explanation:

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There is a hill behind a person’s house. He walks up the top of the hill at a speed of 1$\frac{1}{2}$ km/hour, but walks down it at 4 $\frac{1}{2}$ km/ hour. If it takes him 6 hours for the entire journey, the distance, in km, from his house to the top of the hill is

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There is a hill behind a person’s house. He walks up the top of the hill at a speed of 1$\frac{1}{2}$ km/hour, but walks down it at 4 $\frac{1}{2}$ km/ hour. If it takes him 6 hours for the entire journey, the distance, in km, from his house to the top of the hill is

A$5\frac{1}{4}$

B6

C6$\frac{3}{4}$

D9

akilesh kharvi ? Jun 13 '2020 at 18:58

Correct answer is: \(6\frac{3}{4}\)

Explanation:

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