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Q:

A and B enter into partnership. A supplies whole of the capital amounting to Rs. 45000 with the condition that the profits to be equally divided and that B pays A interest on half of the capital at 10% per annum, but receives Rs. 120 per month for carrying on the concern.Find their total yearly profit when B's income is one half of A's income.

Answer

Let the total profit be Rs. x

Amount paid to B as salary = (120 x 12)

= Rs.1440

Share of each = $\inline (\frac{x-1440}{2})$

Interest paid by B = $\inline \frac{22500\times 10}{100}=Rs.2250$

Total money received by A = $\inline \frac{x-1440}{2}+2250$

= Rs. $\inline (\frac{x+3060}{2})$

Total money received by B

$\inline [(\frac{x-1440}{2})+1440-2250]= (\frac{x-3060}{2})$

$\inline \Rightarrow \frac{1}{2}-(\frac{x+3060}{2})-(\frac{x-3060}{2})$

$\inline \Rightarrow x=9180$

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Subject: Partnership

Q:

A contractor undertakes to complete a work in 130 days. He employs 150 men for 25 days and they complete 1/4 of the work . He then reduces the number of men to 100, who work for 60 days, after which there are 10 days holidays.How many men must be employed for the remaining period to finish the work?

Answer

150 men in 25 days do = $\frac{1}{4}$ work

Let 1 man in 1 day does = x work

Total work done by 150 men in 25 days = 150x * 25 = $\frac{1}{4}$ work => x = $\frac{1}{15000}$

Therefore, 100 men in 60 days do = 100 * 60x = 6000x work = 6/15 = 2/5

Total work done = $\frac{1}{4} + \frac{2}{5} = \frac{13}{20}$

Therefore, Remaining work = 1 - $\frac{13}{20}$ = $\frac{7}{20}$

Remaining time = 130 - (25+60+10) = 35 days

Therefore, work is done in 25 days by 150 men.

Therefore, Work is done in 35 days by 150 men.

Hence, he should employ 50 more men.

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Subject: Time and Work Exam Prep: Bank Exams , AIEEE
Job Role: Bank PO

Q:

A and B can do a piece of work in 40 and 50 days. If they work at it an alternate days with A beginning in how many days, the work will be finished ?

Answer

(A+B)'s two days work = $\frac{1}{40} + \frac{1}{50} = \frac{9}{200}$

Evidently, the work done by A and B duing 22 pairs of days

i.e in 44 days = $22 \times \frac{9}{200} = \frac{198}{200}$

Remaining work = $1 - \frac{198}{200}$ = 1/100

Now on 45th day A will have the turn to do 1/100 of the work and this work A will do in $40 \times \frac{1}{100} = \frac{2}{5}$

Therefore, Total time taken = 44 $\frac{2}{5}$ daya

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Subject: Time and Work
Job Role: Bank PO

Q:

Divide Rs.6500 among A,B and C so that after spending 90% , 75% and 60% of their respective saving were in the ratio of 3: 5: 6

Answer

A's spending 90% $\inline \therefore$ saving = 10%

B's spending 75% $\therefore$ saving = 25%

C's spending 60% $\inline \therefore$ saving = 40%

Let us suppose A, B and C saves Rs. 3.5 and 6 respectively.

$\inline \therefore$ 10% of A's saving = Rs.3

100% of A's saving = $\inline \frac{3}{10}\times 100$ = Rs. 30

25% of B's saving = Rs. 5

100% of B's saving = $\inline \frac{5}{25}\times 100$ = Rs. 20

40% of C's saving = Rs.6

100% of C's saving = $\inline \frac{6}{40}\times 100$ = Rs. 15

Divide Rs. 6500 in the ratio of 30 : 20 : 15 as

A's Share = $\inline \frac{30}{65}\times 6500$ = Rs. 3000

B's Share = $\inline \frac{20}{65}\times 6500$ = Rs. 2000

C's Share = $\inline \frac{15}{65}\times 6500$ = Rs. 1500

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Subject: Ratios and Proportions
Job Role: Bank PO

Q:

The average monthly salary of the employees of a firm is Rs.60 out of the employees 12 officers get an average of Rs.400 per month and the rest an average of Rs. 56 per month , Find the number of emp

Answer

Actual average salary of 12 officers = 400

$\inline \fn_jvn \therefore$ Total salary of 12 officers = 400 x 12 = 4800

Average of these 12 officers as a whole =60

Total salary of 12 officers as a whole = 60 x 12 = 720

The total salary of rest = 4800 - 720 = 4080

Difference in average of the rest of officers = 60 - 56 = 4

Rest of the officers = $\inline \fn_jvn \frac{4080}{4}=1020$

Total number of employees = 1020 + 12 = 1032

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Subject: Average

Q:

The mean temperature of Monday to Wednesday was 37C and of Tuesday to Thursday was 34C . If the temperature on Thursday was (4/5) th that of Monday, the temperature on Thursday was?

Answer

$\inline \fn_jvn M+T+W =(37\times 3)^{0}=111^{0}C$ -----------(1)