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Q:

The earth is at its maximum distance from the Sun on :

A) January 30th	B) December 22nd
C) September 22nd	D) July 4th

Answer & Explanation Answer: D) July 4th

Explanation:

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Filed Under: World Geography

Q:

In what proportion water must be added to spirit to gain 20% by selling it at the cost price ?

Answer

Let the C.P of spirit be = Rs.10 per litre

Then S.P l litre of the mixture = Rs. 11

Profit = 20%

Therefore, C.P of the mixture = Rs. $[\frac{100}{120} \times 10]$ = Rs. 25/3 per litre

Therefore, Ratio of water and spirit = 1 : 5

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Subject: Alligation or Mixture

Q:

A sum of Rs.118 was divided among 50 boys and girls such that each boy received Rs.2.60 and each girl Rs.1.80. Find the number of boys and girls ?

Answer

Average money received by each = 118/50 = Rs. 2.36

Therefore, Ratio of No.of boys and girls = 56 : 24 = 7 : 3

Therefore, Number of boys = 50 x (7/10) = 35

Number of girls = 50 - 35 = 15

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Subject: Alligation or Mixture

Q:

A man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km /hr. Find the distance travelled on foot ?

Answer

Let the Journey on foot be x km

Journey on cycle = (80 – x) km

$∴ \frac{x}{8} + \frac{80 - x}{16} = 7$

=> x = 32km

Therefore, Distance covered on foot in 4 hrs = ( 4 x 8) = 32 km

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Subject: Alligation or Mixture

Q:

In what ratio should two varieties of tea at Rs. 60 per kg and Rs.120 per kg be mixed together so that by selling the mixture at Rs.96 per kg, a profit of Rs.20% is obtained ?

Answer

Let us first calculate the cost of price of the mixture. the selling price of the mixture is given as Rs.96 and the profit is given as 20%. So, Cost price = $\frac{100}{120} \times 96$ = Rs. 80

Now, let us apply allegation method :

= 40 : 20 = 2 : 1

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Subject: Alligation or Mixture

Q:

In what ratio should two varieties of sugar at Rs.18 per kg and Rs.24 Kg be mixed together to get a mixture whose cost is Rs.20 per kg ?

Answer

= 4 : 2 = 2 : 1

Thus, the two varieties should be mixed in the ratio 2 : 1

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Subject: Alligation or Mixture

Q:

Study the table below to answer these questions.

Rate of Interest, Dividend Payout Ratio and the Retained Earnings of Five Companies

Profit earned is either paid out as dividend or ploughed back in business as retained earnings. Interest is paid on borrowings.

1. By how much do the borrowings of Company B exceed that of Company A ?

1. Rs. 1,210,000 2. Rs.1,320,000 3. Rs.1,000,000 4. Rs.1,100,000

2. By how much does the dividend paid by Company D exceed the dividend paid by Company B ?

1. Rs.23 lakh 2. Rs.32 lakh 3. Rs.320 lakh 4. Rs.230 lakh

3. The profit of E is more/less than that of C by _____ %

1. 33.3% less 2. 33.3% more 3. 25% less 4. 25% more

4. What is the sum of profits made by Companies A and B ?

1. Rs.500 lakh 2. Rs.600 lakh 3. Rs.700 lakh 4. Rs.800 lakh

5. What is the sum of the borrowings of all five companies ?

1. Rs.146 lakh 2. Rs.14.6 lakh 3. Rs.14.6 crore 4. None of these

Answer

1. Answer : 4

Explanation : Let the borrowing of Company A = x

Interest of Company A = 234000

Rate of Interest = 18%

$∴ x \times \frac{18}{100} = 234000 \Rightarrow x = 1300000$

Let the borrowing of Company B = y

Interest of Company B = 576000

Rate of interest = 24%

$∴ y \times \frac{24}{100} = 576000 \Rightarrow y = 2400000$

Required difference = y - x = 2400000 - 1300000 = Rs. 1100000

2. Answer : 2

Explanation :

Let the profit of Comapny B = 100%

Dividend Payout ratio(%) of B = 19.60

Remaining percent i.e retained earning = 100 - 19.60 = 80.4%

According to question, 80.4% = Rs.402 lakh

100% = Rs.500 lakh

Therefore, Total dividend paid by Company B = 500 - 402 = Rs. 98 lakh

Let the profit of company D = 100%

Dividend payout ratio (%) of D = 32.50

Remaining percent i.e retained earning = 100 - 32.50 = 67.5%

According to question, 67.5% = Rs. 270 lakh

100% = Rs. 400 lakh

Therefore, Total dividend paid by company D = 400 - 270 = Rs. 130 lakh

Required difference = 130 - 98 = Rs. 32 lakh

3. Answer : 3

Explanation :

Let the profit of Company C = 100%

Dividend payout ratio of C = 8.75%

Remaining percent i.e, retained earning = 100 - 8.75 = 91.25

According to question, 91.25% = Rs. 365 lakh

100% = Rs. 400 lakh

Therefore, Profit of C = Rs. 400 lakh

Let the profit of company E = 100%

Dividend payout ratio of E = 28%

Remaining percent i.e retained earning = 100 - 28 = 72%

According to question, 72% = Rs.216 lakh

100% = Rs.300 lakh

Therefore, Profit of E = Rs. 300 lakh

Required percentage = $\frac{100}{400} \times 100$ = 25% less

4. Answer : 3

Explanation :

Profit made by company A = Rs. 200 lakh

Profit made by company B = Rs. 500 lakh

Required Sum = 200 + 500 = Rs. 700 lakh

5. Answer : 4

Explanation :

Required Sum = 1300000 + 2400000 + 810000 + 1600000 + 1200000 = 7310000 = Rs. 73.1 lakh

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Subject: Table Charts

Q:

A train runs through cities A, B, C, D, E, F, G and H. The line graph indicates the time schedule of the train including times of arrival and departure.

1. The total stoppage time at the cities in the first half and second half of the total distance is in the ratio.

1. 1 : 3 2. 3 : 1 3. 2 : 1 4. 1 : 2

2. Between how many pairs of consecutive stations does the speed run below the overall average speed of the entire trip?

1. 2 2. 1 3. 3 4. 4

3. If the train stops at each city for 50% more time than what it is at present, then at what time will it arrive at city H after departing from city A as per schedule ?

1. 20.16 2. 19.02 3. 18.51 4. 18.59

4. The overall average speed of the entire trip excluding stoppage time is nearly :

1. 75 km/h 2. 81 km/h 3. 46 km/h 4. 65 km/hr

5. What percent of time of the entire trip was actually spent travelling between the cities ?

1. 91.8% 2. 7.6% 3. 76% 4. 24%

Answer

1. Answer : 4

Explanation : Required ratio = $\frac{10 + 2 + 5}{10 + 15 + 10} = \frac{17}{35} \approx \frac{1}{2} = 1 : 2$

2. Answer : 1

Explanation :

A to B Speed = $\frac{140 \times 3}{5}$ = 84

B to C Speed = $\frac{91 \times 3}{4}$ = 68.25

C to D Speed = $\frac{149 \times 60}{103}$ = 86.796

D to E Speed = $\frac{88 \times 3}{4}$ = 66

E to F Speed = $\frac{106 \times 4}{5}$ = 84.8

F to G Speed = $\frac{176}{2}$ = 88

G to h Speed = $\frac{110 \times 4}{5}$ = 88

Average speed of entire trip = $\frac{84 + 68.25 + 86.796 + 66 + 84.8 + 88 + 88}{7}$ =80.83

3. Answer : 3

Explanation : Total half time = 10 + 2 + 5 + 10 + 15 + 10 = 52

Total half time, if the train stops at each city for 50% more= $52 \times \frac{150}{100}$ =78

Train will arrive at city H after departing from city A = 18.25 + (78 - 52 )=18.25 + 26=18.51

4. Answer : 2

Explanation : Average speed = $\frac{84 + 68.25 + 86.796 + 66 + 84.8 + 88 + 88}{7}$ =80.83=81 km/hr

5. Answer : 1

Explanation : Required percentage of time = $\frac{1.40 + 1.20 + 1.43 + 1.20 + 1.15 + 2 + 1.15}{18.25 - 7} \times 100$ = $\frac{10.23}{11.25} \times 100$ = 91.8 %

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Subject: Line Charts

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