Profit earned by an organization is distributed among officers and clerks in the ratio of 5 : 3 respectively. If the number of officers is 45 and the number of clerks is 80 and the amount received by each officer is Rs.25,000, what was the total amount of profit earned?

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Profit earned by an organization is distributed among officers and clerks in the ratio of 5 : 3 respectively. If the number of officers is 45 and the number of clerks is 80 and the amount received by each officer is Rs.25,000, what was the total amount of profit earned?

ARs.22 lakhs

BRs.18.25 lakhs

CRs.18 lakhs

DRs.23.25 lakhs

nithin ? Aug 8 '2022 at 22:36

Correct answer is: Rs.23.25 lakhs

Explanation:

Profit received by each officer
= Rs.25000

Therefore, Profit received by each clerk

\(\Large \frac{3}{5} \times 25000 \text{ = Rs.15000}\)

Therefore, Total earned profit

\(\text{ = Rs. }\Large \left(45 \times 25000 + 80 \times 15000\right)\)

\(\text{ = Rs.} \Large \left(1125000 + 1200000\right)\)

\(\text{= Rs. 23.25 lakh}\)

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The value of a machine depreciates at the rate of 12 percent per annum. It was purchased three years ago. Its present value is Rs. 29644.032. What was the purchase price of the machine ?

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The value of a machine depreciates at the rate of 12 percent per annum. It was purchased three years ago. Its present value is Rs. 29644.032. What was the purchase price of the machine ?

ARs. 48700

BRs. 43500

CRs. 38900

DRs. 39000

nithin ? Aug 8 '2022 at 22:16

Correct answer is: Rs. 43500

Explanation:

\(\eqalign{ & = {\text{Rs}}{\text{.}}\left[ {\frac{{29644.032}}{{{{\left( {1 - \frac{{12}}{{100}}} \right)}^3}}}} \right] \cr & = {\text{Rs}}{\text{.}}\left( {29644.032 \times \frac{{25}}{{22}} \times \frac{{25}}{{22}} \times \frac{{25}}{{22}}} \right) \cr & = {\text{Rs}}.43500 \cr}\)

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The profit earned after selling an article for Rs. 878 is the same as the loss incurred after selling the article for Rs. 636. What is the cost price of the article?

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The profit earned after selling an article for Rs. 878 is the same as the loss incurred after selling the article for Rs. 636. What is the cost price of the article?

ARs. 797

B Rs. 787

CRs. 767

D Rs. 757

Nithin ? Aug 8 '2022 at 21:59

Correct answer is: Rs. 757

Explanation: 

The correct option is E Rs. 757
Let the C.P. of the article be Rs. x.
According to the question,
\(\text{878 - x = x - 636}\)

\(⇒ 2x = 878 + 636 = 1514\)

\(⇒ x = \frac{1514}{2}= \text{ Rs 757}\)

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A trader sells 145 metres of cloths for Rs. 12,325 at the profit of Rs. 10 per metre of cloth. What is cost price of 1 metre of cloth ?

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A trader sells 145 metres of cloths for Rs. 12,325 at the profit of Rs. 10 per metre of cloth. What is cost price of 1 metre of cloth ?

ARs. 65

BRs. 75

CRs. 95

DRs. 85

Nithin ? Aug 8 '2022 at 21:47

Correct answer is: Rs. 75

Explanation:

Given:

The selling price of 145 metres cloth = Rs. 12,325

The profit = Rs 10 per metre of cloth

Formula:

\(\text{Cost price = Selling price - Profit}\)

Calculation:

1 metre of cloth = Rs. 10 profit

145 metre of cloth = \(\text{Rs. 10 × 145 = 1450}\)

\(\text{ Cost price = Selling price - Profit }\)

Cost price of 145 metre = 12,325 - 1450 = Rs. 10,875

∴ Cost price of 1 metre cloth = \(\frac{10875}{145}= \text{Rs. 75}\)

 

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The profit after selling a pair of trousers for Rs.863 is the same as the loss incurred after selling the same pair of trousers for Rs.631. What is the cost price of the pair of trousers?

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The profit after selling a pair of trousers for Rs.863 is the same as the loss incurred after selling the same pair of trousers for Rs.631. What is the cost price of the pair of trousers?

ARs.750

BRs.800

CRs.763

DNone of these

Nithin ? Aug 7 '2022 at 21:53

Correct answer is: None of these

Explanation:

Let the cost price of the trouser be Rs.x.

According to the question,

\(863 - x = x - 631\)

\(\implies 2x = 863 + 631 = 1494\)

\(\implies x = \frac{1494}{2} \text{ = Rs. 747}\)

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If on selling 12 notebook any seller makes a profit equal to the selling price of 4 notebooks. What is his percent profit ?

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If on selling 12 notebook any seller makes a profit equal to the selling price of 4 notebooks. What is his percent profit ?

A50

B25

C$16\frac{2}{3}$

DData inadequate

Nithin ? Aug 7 '2022 at 21:44

Correct answer is: 50

Explanation:

\(\text{Profit = Selling price of 4 notebooks cost}\)
\(\text{price = selling price of(12 - 8) = 4 notebooks.}\)
\(\therefore \% \text{ profit = } \frac{4}{8}\times 100 = 50\)

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Mr.Shivkumar started a business investing Rs.25,000 in 1996. In 1997 he invested an additional amount of Rs.10,000 and Mr.Rakesh joined him with an amount of Rs.35,000 in 1998. Mr.Shivkumar invested another additional amount of Rs.10,000 and Mr.Suresh joined them with an amount of Rs.35,000. What will be Rakesh's share in the profit of Rs.1,50,000 earned at the end of three years from the start of the business in 1996?

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Mr.Shivkumar started a business investing Rs.25,000 in 1996. In 1997 he invested an additional amount of Rs.10,000 and Mr.Rakesh joined him with an amount of Rs.35,000 in 1998. Mr.Shivkumar invested another additional amount of Rs.10,000 and Mr.Suresh joined them with an amount of Rs.35,000. What will be Rakesh's share in the profit of Rs.1,50,000 earned at the end of three years from the start of the business in 1996?

ARs.70,000

BRs.50,000

CRs.45,000

D Rs.75,000

Nithin ? Aug 3 '2022 at 5:59

Correct answer: Rs.50,000

Explanation:

Shivkumar's equivalent capital

= (25000 x 3) + (10000 x 2) + (10000 x 1) = 105000

Rakesh's equivalent capital = 35000 x 2 = 70000

Suresh's equivalent capital = 35000 x 1 = 35000

Total profit of Rs.150000 will be distributed in the ratio of their equivalent capitals.

Shivkumar : Rakesh : Suresh = 105 : 70 : 35

= 3 : 2 : 1

Rakesh's share in the total profit = 2/(3 + 2 + 1) x 150000

= Rs.50000
 

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