A man completes 30 km of a journey at the speed of 6 km/h and the remaining
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
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
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 =\(\Large \frac{70}{10} = 7 km/h\)
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
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.
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
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
If a man were to sell his chair for Rs.720, he would loss 25%. To gain 25% he should sell it for
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%,
\(\text{Selling Price} = \Big[\frac{(100 +Gain \%) }{ 100}\Big] \times \text{Cost Price}\)
\(\text{Selling Price} = \Big[\frac{(100 + 25)}{100}\Big]\times 960\)
\(=\frac{125}{100}\times 960\)
\(= Rs. 1200\)
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
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
Krishnan bought a camera and paid 20% less than its original price. He sold it as 40% profit on the price he had paid. The percentage of profit earned by krishnan on the original price was
Nithin K ? Apr 3 '2018 at 20:1
Answer is : 12
Explanation :
Let the original price be x Rs.
\(=\frac{80}{100} \times x = \frac{4x}{5} Rs\)
\(SP = \frac{4x}{5} \times \frac{140}{100} = \frac{28x}{25} Rs\)
Gain on original price
\(\frac{28x}{25} - x =\frac{3x}{25}\)
\(\therefore \text{Gain % =}\frac{3x}{\frac{25}{x} \times 100} \text{= 12%}\)
=12%
Due to 20% reduction in the price of sugar, a man is able to purchase 6 kg more sugar in Rs.120. The original rate of sugar was
Nithin K ? Apr 2 '2018 at 22:21
Answer is : Rs.5 per kg
Explanation:
20% of 120/- is 24 /-
Therefore we get 6kg sugar by 24/-
Then
24=6kg
? =1kg
Then 1kg price is 4/- ( reduction price )
Original price:
100% = ?
80% = 4/- ( because in question he gives 20% reduction)
There fore \(\frac{(100 \times 4)}{80}\) = 5/-