@mohnish_khiani 12%
20/40 is 1/2, we can write it as 25/50 now, caculate the percentage change from 25 to 22, which gives us 3/25 = 12 % :)
easy, right ?
@rk90 : here how it is:
1. identify the 1st common term. Here it is 3.
2. Find the LCM of the differences of the 2 series. Here LCM(4,3) = 12.
3. Find the nth term of either series. Add the 12 x times till you get tn.
x is your answer..:) Simple as that..:)
Page 202 Profit and Loss LOD- 3-
My Doubts- How to solve question(4). Also do we need to consider depreciation of taxi in this question?
Depreciation is Rs. 100 per day everyday of the first 10 years. This depreciation has to be added equally to the cost for every customer while calculating the profit for a particular trip. Similarly, the driver's salary is also apportioned equally across the customers of the particular day. Assume, for simplicity that there are 50 customers every day(unless otherwise mentioned). The cost of fuel is Rs 15 per litre(unless otherwise stated).
The customer has to pay 20% over the meter reading while settling his bill. Also assume that there is no fuel cost for waiting time (unless otherwise stated).
Based on the above facts , answer the following :
The charges of a taxi journey are decided on the basis of the distance covered and the amount of the waiting time during a journey. Distance wise, for the first 2 kilometres (or any part thereof) of a journe, the metre reading is fixed as Rs 10(if there is no waiting). Also if a taxi is boarded and it does not move, then the metre reading is again fixed at Rs 10 for the first ten minutes of waiting. For every additional kilometre the metre reading changes by Rs 5 (with changes in the meter reading being in multiples of Re. 1 for every 200 metres travelled). For every additional minute of waiting, the metre reading changes by Re. 1 (no account is taken of a fraction of a minute waited for or of a distance less than 200 metres travelled). The net meter reading is a function of the amount of time waited for and the distance travelled.
The cost of running a taxi depends on the fuel efficiency (in terms of mileage/litre), depreciation (straight line over 10 years) and the driver's salary (not taken into account if the taxi is self owned).
The cost of running a taxi depends on the fuel efficiency (in terms of mileage/litre), depreciation (straight line over 10 years) and the driver's salary (not taken into account if the taxi is self owned).
Depreciation is Rs. 100 per day everyday of the first 10 years. This depreciation has to be added equally to the cost for every customer while calculating the profit for a particular trip. Similarly, the driver's salary is also apportioned equally across the customers of the particular day. Assume, for simplicity that there are 50 customers every day(unless otherwise mentioned). The cost of fuel is Rs 15 per litre(unless otherwise stated).
The customer has to pay 20% over the meter reading while settling his bill. Also assume that there is no fuel cost for waiting time (unless otherwise stated).
Based on the above facts , answer the following :
1) If Sardar Preetpal Singh's taxi is 14 years old and has a fuel efficiency of 12km/litre of fuel, find his profit in a run from Howrah Station to Park Street (a distance of 7 kms) if the stoppage time is 8 minutes. Assume he owns the taxi
a) Rs 32.25 b) Rs. 40.85
c) Rs 34.25 d) Rs 42.85
e) Rs 44.85
Ans - Rs 42.85
2) the percentage profit is :
a) 391.42 % b) 380 %
c)489.71 % d) 438.23 %
e) 444.25 %
Ans - (c)
3) For the same journey as in question (1), if on another day, with heavier traffic, the waiting time increases to 13 minutes, find the percentage change in profit :
a) 12% b) 14%
c) 13% d) 16%
e) 17%
ans -(b)
a) Rs 32.25 b) Rs. 40.85
c) Rs 34.25 d) Rs 42.85
e) Rs 44.85
Ans - Rs 42.85
2) the percentage profit is :
a) 391.42 % b) 380 %
c)489.71 % d) 438.23 %
e) 444.25 %
Ans - (c)
3) For the same journey as in question (1), if on another day, with heavier traffic, the waiting time increases to 13 minutes, find the percentage change in profit :
a) 12% b) 14%
c) 13% d) 16%
e) 17%
ans -(b)
4) How to solve this question- For Question 3, if Sardar Preetpal Singh idled his taxi for 7 minutes and if the fuel consumption during idling is 50 ml per minute, find the percentage decrease in profits.
(a) 10.74% (b) 11.21% (c) 10.87% (d)9.94% (e)10.44%
Ans (a)- But how ???
LOD -III Pg 202
Mr. Vikas Verma owns a fleet of 3 taxis ,where he pays his driver Rs. 3000 per month.He also insists on keeping an attendant for Rs. 1500 per month in each of taxis. Idling requires 50 ml of fuel for every minute of idling . For a moving taxi,the fuel consumption is given by 12 km/liter. On a particular day,he received the following reports about the three taxis.
--------------------------------------------------------------------------------------------------------
Taxi Code Total Kilometers Waiting time with idling waiting time without idling
--------------------------------------------------------------------------------------------------------
A 260 190 min 30 min
B 264 170 min 80 min
C 275 180 min 60 min
--------------------------------------------------------------------------------------------------------
Question: The maximum revenue has been generated by which taxi?
a):A b):B c):C d):Can not be determined
--------------------------------------------------------------------------------------------------------
Taxi Code Total Kilometers Waiting time with idling waiting time without idling
--------------------------------------------------------------------------------------------------------
A 260 190 min 30 min
B 264 170 min 80 min
C 275 180 min 60 min
--------------------------------------------------------------------------------------------------------
Question: The maximum revenue has been generated by which taxi?
a):A b):B c):C d):Can not be determined
Ans d) Cannot be determined
If it is to be assumed that every customer traveled at least 2 kilometers:
Question:Which of the three taxis generate the maximum revenue?
a):A b):B c):C d)none
Ans c) C)
Question:What percentage of total revenue was generated by Taxi B?
a):32.3 b):33.36 c):34.32 d):34.36
Ans b) 33:36
Question:Highest profit is given by which taxi?
a):A b):B c):C d):Can not be determined
Ans c) C)
Question:The taxi which had highest percentage profit for the day was:
a):A b):B c):C d):Can not be determined
Ans a)
Question : The profit as a percentage of costs for the day was:
(a) 179.46% (B) 150.76% (c) 163.28% (d)173.48% (e) Cannot be determined
Ans 10 b)
find the highest power of 2 in 1! + 2! + 3! + 4! + ... + 600!
@1234gaurav said:find the highest power of 2 in 1! + 2! + 3! + 4! + ... + 600!
After 1!, all other terms are even numbers.
Even no. + 1 = Odd no.
So power of 2 = 0
yeah that's what i thought... bt in arun sharma ans is given as 3.....I suppose it's a printing mistake...thanks for the reply :)
@arunima88in said:Page 202 Profit and Loss LOD- 3-My Doubts- How to solve question(4). Also do we need to consider depreciation of taxi
1. Cost of petrol for 7 km journey =>8.75
meter charge =10+5x5+8
= 43+8.6=51.6
profit=51.6-8.75
= 42.85
2)the percentage profit is :
51.6-8.75/8.75
= 489.71%
meter charge =10+5x5+8
= 43+8.6=51.6
profit=51.6-8.75
= 42.85
2)the percentage profit is :
51.6-8.75/8.75
= 489.71%
@rk90 said:how many terms are identical in the two APs 1,3,5....120 terms and 3,6,9...uopt 80 terms?a)38 b)39 c)40 d)41 e)42i know itz an easy problem but i dont get it.plz tell me the approach
39
@rk90 said:a number 15 is divided into 3 parts which are in AP and the sum of their squares is 83.find the smallest noa)5 b)3 c)6 d)8 e)7
Series can be
0 5 10
1 5 9
2 5 8
3 5 7
4 5 6
just check sum of the squares and it will be 3 5 7
so b>3
do i need to refer arun sharma if i have TIME coaching instt's material. plz suggest.
can someone please answer this question :
If TAYLOR SERIES EXPANSION for f(x) = ln(1+x) is
X - x2/2 + x3/3 - x4/4 + x5/5 - x6/6... =
∑ (-1)(n-1) *( x^n/n ) ( for n = 1 to ∞)
Then what is the corresponding log function for the taylor series expansion :((-1)^(n+1)x^2n)/(2n)
Hey Puys,
was doing Inequalities from Arun Sharma, and got a little stuck with the mod questions. here it is..
Question:
|x|
Options
a) x
b) 0
c) 1
d) -infinity
Can someone get me the step by step solution..
Really appreciate it...!!
Hi Puys,
I have been preparing from Arun Sharma for past few months .But however when i tried to solve the some cat paper of past year i felt that the book felt short .Can you please suggest whether i should continue with this book and paper or are there any other books which could give realy cat feel.Plz help!!!!
puys..which is d latest edition f quant by arun sharma nd is it launched as f now????
A can do a piece of work in 20 days. He works at it for 5 days and then B finishes it in 10 more days. In how many days will A and B together finish the work???
PLs HLP
23)
Find the point of intersection of the two given conics:
C1= X^2 +Y^2– XY=37 C2 = X^2+ Y^2 – 4XY = -26
a) 3,8 b) 3,7 c) 4,6 d) 4,9 e) (2,3)
24) Find the value of F(X)= X^3 + Y^3- 3X – 4Y at point of intersection of the two given conics:
C1= X^2 +Y^2– XY=37 C2 = X^2 + Y^2 – 4XY = -26
a) 332 b) 345 c) 333 d) 350 e) 376
SOURCE:
Hi friends,
I wanted to ask you that in case you are in a coaching institute, is completing your material enough for CAT prep. OR is practising "Arun-Sharma-books" also equally important.
Is studying any other books apart from your institute's module so much required?
I think that having solved your modules gives enough practise to hit Mocks.
Do correct me if i m wrong.😁
Wat do u think?
Apurva can do a piece of work in 12 days. Apurva and Amit complete the work together and were paid Rs54 and Rs81 respectively. How many days may they have taken to compete thye work together???"Answer with Expalnation"