A man completes 30 km of a journey at the speed of 6 km/h and the remaining

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A man completes 30 km of a journey at the speed of 6 km/h and the remaining 40 km of the journey in 5 hr. His average speed for the whole journey is

A7 km/h

B$$6\frac{4}{11}km/h$$

C8 km/h

D7.5 km/h

Nithin K ? Apr 7 '2018 at 15:36

Answer is : 7 km/h

Explanation:

Total distance = 30 + 40 = 70 km 

 

Total time taken =  \(\Large \frac{30}{6}+5=\frac{60}{6} = 10 h\)

Therefore, Required average speed =\(\Large \frac{70}{10} = 7 km/h\)

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Two trains 105 m and 90 m long, run at the speeds of 45 km/h and 72 km/h respectively

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Two trains 105 m and 90 m long, run at the speeds of 45 km/h and 72 km/h respectively, in opposite directions on parallel tracks. The time which they take to cross each other is

A8 sec.

B6 sec.

C7 sec.

D5 sec.

Nithin K ? Apr 7 '2018 at 15:28

Answer is : B. 6 sec.

Explanation:

Length of the 1st train = 105 m;
Length of the 2nd train = 90 m.
Relative speed of the trains,
= 45+72 = 117kmph
\(= 117\times\frac{5}{18} = 32.5 m/sec\)
\(\text{Time taken to cross each other},\)
\(=\frac{\text{ (Length of 1st train + length of 2nd train)}}{\text{relative speed of the trains}}.\)
Time taken = \(\frac{195}{32.5}\) = 6 secs.

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A man sells his typewriter at 5% loss. If he sells it for Rs.80 more, he will gain 5%.

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A man sells his typewriter at 5% loss. If he sells it for Rs.80 more, he will gain 5%. The cost price of the type writer is

ARs.1600

BRs.1200

CRs.1000

DRs.800

Aryan bahuguna ? Jun 6 '2020 at 21:10

CP=X

LOSS =5%

GAIN=5%

SP=CP(100-LOSS)/100

95×/100=19×/20

SP=CP (100 +PROFIT)/100= X(100+5)/100= 105X/100 = 21X/100 

21X/20-19X/20=80

X=80×20=1600

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If a man were to sell his chair for Rs.720

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If a man were to sell his chair for Rs.720, he would loss 25%. To gain 25% he should sell it for

ARs.1200

BRs.1000

CRs.960

DRs.900

Nithin K ? Apr 7 '2018 at 10:17

Answer is : A. Rs.1200

Explanation:

If there is Loss then ,

\(\text{Cost Price} = \Big[ \frac{100}{(100 -Loss\%)}\Big] \times \text{Selling Price}\)

CP of chair = \(\frac{100}{(100-25)}\times720\)

= \(\frac{100}{75}\times 720\)\(\) 

= \(Rs. 960\)

To gain 25%,

\(\text{Selling Price} = \Big[\frac{(100 +Gain \%) }{ 100}\Big] \times \text{Cost Price}\)

\(\text{Selling Price} = \Big[\frac{(100 + 25)}{100}\Big]\times 960\)

\(=\frac{125}{100}\times 960\)

\(= Rs. 1200\)

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A book seller sells a book at a profit of 10%. If he had bought it at 4% less

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A book seller sells a book at a profit of 10%. If he had bought it at 4% less and sold it for Rs.6 more, he would have gained $$18\frac{3}{4}%$$. The cost price of the book is

ARs.130

BRs.140

CRs.150

DRs.160

pavan ? Apr 6 '2018 at 13:37

Correct Answer:

C) Rs.150

Explanation:

Let CP = x

The, SP =\(\Large\frac{110x}{100} = Rs.\frac{11x}{10}\)

Now, CP = 96% of x =\(\Large\frac{96x}{100} = Rs.\frac{24x}{25}\)

Now according to the question,

SP = Rs.\(\left( \frac{11x}{10} + 6 \right)\)

\(\left( \frac{11x}{10} + 6 \right) = \Large118\frac{3}{4}% of \frac{24x}{25}\)

\(\Large\frac{11x + 60}{10} = \frac{475}{400}\times\frac{24x}{25} = \frac{57x}{50}\)

\(\implies 550x + 3000 = 570x \)
\(20x = 3000\)
\(X = \Large\frac{3000}{20} = 150\)

CP = 150

 

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