@heylady said:Circle's radius would be: a(2-sqrt3)/2Hence ratio would be: 1: (2-sqrt 3)^2: 4
approach bhai???
Hi i am new to this thread... Please tell me how to solve this question
LOD-III Arun Sharma Profit and Loss Page-203
The Coca- Cola Company is setting up a plant for manufacture and sale of the soft drink.
The investment for the plant is RS 10 Crore ( to be invested in plant, machinery, advertising, infrastructure, etc)
The following information is known about the different sizes planned :
-------------------------------------------------------------------------------------------------------
Bottle Size Bottling Cost Liquid Cost Transportation Cost Sale Price Dealer Margin
__________________________________________________________________________
30 ml Rs 2 Rs 0.6 10p/Bottle Rs 10 Rs 3
500 ml Rs 5 Rs 1 15p/Bottle Rs 18 Rs 6
1.5 ml Rs 10 Rs 3 20p/Bottle Rs 40 Rs 12
_________________________________________________________________________
Based on the info answer the qs below :
Q1 For which bottle should Coca- Colatry to maximize sale to maximize profits.(Assume that the total no. of litres of Coca- Cola sold is constant irrespective of the break-up of the sales in terms of the bottle sizes)
a) 300 ml b) 500 ml c) 1.5 ltr d) Indifferent between the 3 sizes e) Cannot be determined
Ans a)300 ml
Q2. If the company sells only 300 ml bottles in the 1st year, how many bottles should it sell to recover investment made in the 1st year only?
a) 23,255,814 b) 232,558,140 c)32,255,814 d) 322,558,140 e) None of these
Ans a)23,255,814
Q3. If sales of 300ml bottles to 500 ml bottles is 4:1 and there is no sale of 1500 ml bottles, how many 300 ml bottles will be required to recover the investment ?
a) 1,73,53,580 b) 2,93,25,512 c) 16,215,848 d) 16,25,774 e) None of these
Ans c) 16,215,848
Q4 For Q3 , the total no. of both the types to be sold in India in order to recover the whole investment is
a) 3665890 b) 2032310 c)21691975 d) 21723165 e) Cannot be determined
Ans c)21691975
Q5 If we add admin costs @ Re 1 / ltr, which bottle size will have the maximum profitability?
a) 300ml b) 500 ml c) 1.5 ltr d) Indifferent between the 3 sizes e) Cannot be determined
Ans a) 300ml
KhannaiiM
11
The squares of a 3 —3 grid of unit squares are coloured randomly and independently so that each square gets one of 5 colours. Three points are then chosen uniformly at random from inside the grid. The probability that these points all have the same colours can be expressed as a/b, where a and b are coprime positive integers. What is the value of a+b?
What is the product of all roots to the equation
(x−1)(x−2)(x−3)+(x−2)(x−3)+(x−4)(x−3)(x−4)(x−5)+(x−4)(x−5)(x−6)+
(x−1)(x−2)(x−3)+(x−2)(x−3)+(x−4)(x−3)(x−4)(x−5)+(x−4)(x−5)(x−6)+
(x−5)(x−6)(x−7)+(x−6)(x−7)(x−8)=0?
LOD-III Arun Sharma Profit and Loss Page-204 Q 16 -Q 19
Q 16 ) Hotel Chanakya in Chanakyapuri has a fixed monthly cost of Rs 1,00,000/-. The advertising cost is Rs 10,000/-/- month. It has 5 A/C Rooms, which costs Rs 600/- per day and 10 Non- AC Rooms, which costs Rs 350/- per day. Direct costs are Rs 100for an A/C room and Rs 50 for a non- A/C room. In the month of Apr 2020, the occupancy rate of A/C rooms is 50% while that of Non- A/c rooms is 45 % . Find the profit of the hotel in terms of rupee terms for the Apr'2020.
a) 33600 b) 28,800 c) -32,000 (Loss) d) -17750(Loss) e) None of these
Ans d) -17750(Loss)
Q 17 For the above question, keeping the A/C occupancy constant at 50%, what should be the minimum occupancy rate for non-A/c rooms for incurring no loss for this month ?
a) 75.66 b) 80.66 c) 83.33 d) 86.66 e) 80%
Ans b) 80.66
Q 18 For Q 16 & 17 : Rs 25,000 worth of advertising a sale promotion of 20% off on the bill doubles the occupancy rate. If this is done , what is the change in the rate of profit or loss ?
a) Reduction of loss by Rs 5,900
b) Reduction of loss to Rs 5,900
c) Reduction of loss by Rs 26,100
d) Both b and c
e) None of these
Ans d) Both b and c
Q 19 Advertsing worth Rs 50,000 is done for the sales promotion of A/C rooms (advertising a 20% reduction in the bill for A/C rooms). This leads to a doubling of the occupancy rate of A/C rooms. Besides , it also has an effect of increasing non- A/C room occupancy by 20%, Is this advised ?
a) Yes b) No c) Indifferent d) Cannot be determined e) None of these
Ans b) No
Thanks in Advance 
@heylady said:m=x-y then how can this belog m= log x-log y ?????
sry man
my bad
having a bad day it seems
@Junkmaniac said:What is the product of all roots to the equation(x−1)(x−2)(x−3)+(x−2)(x−3)+(x−4)(x−3)(x−4)(x−5)+(x−4)(x−5)(x−6)+(x−5)(x−6)(x−7)+(x−6)(x−7)(x−8)=0?
(x−1)(x−2)(x−3)+(x−2)(x−3)(x−4)+(x−3)(x−4)(x−5)+(x−4)(x−5)(x−6)+(x−5)(x−6)(x−7)+(x−6)(x−7)(x−8)=0?
assuming this to be the right question
this will come as
ax^2+px^2+qx+c=0
product=-c/a
a=6
c=-6-24-60-120-210-336=-756
-c/a=126
@ankitkumaretn said:@arunima88in Answer to q16 is wrong,in the first place.It should be c) if you want proof just do q18 or just see it, you will know.And about other questions, you can do all of them just by calculations.
My method of solving :
Revenue incurred in Apr 2020- (5* 600 * 50% + 10*350*45%)*30= Rs 92,250/-
Costs= Rs 1,00,000+ 10,000+(100*5+10*5)*30= Rs 1,40,000/-
Loss= Rs 47,750/- ????
@arunima88in said:LOD-III Arun Sharma Profit and Loss Page-204 Q 16 -Q 19Q 16 ) Hotel Chanakya in Chanakyapuri has a fixed monthly cost of Rs 1,00,000/-. The advertising cost is Rs 10,000/-/- month. It has 5 A/C Rooms, which costs Rs 600/- per day and 10 Non- AC Rooms, which costs Rs 350/- per day. Direct costs are Rs 100for an A/C room and Rs 50 for a non- A/C room. In the month of Apr 2020, the occupancy rate of A/C rooms is 50% while that of Non- A/c rooms is 45 % . Find the profit of the hotel in terms of rupee terms for the Apr'2020.a) 33600 b) 28,800 c) -32,000 (Loss) d) -17750(Loss) e) None of theseAns d) -17750(Loss)Q 17 For the above question, keeping the A/C occupancy constant at 50%, what should be the minimum occupancy rate for non-A/c rooms for incurring no loss for this month ?a) 75.66 b) 80.66 c) 83.33 d) 86.66 e) 80%Ans b) 80.66Q 18 For Q 16 & 17 : Rs 25,000 worth of advertising a sale promotion of 20% off on the bill doubles the occupancy rate. If this is done , what is the change in the rate of profit or loss ?a) Reduction of loss by Rs 5,900b) Reduction of loss to Rs 5,900c) Reduction of loss by Rs 26,100d) Both b and ce) None of theseAns d) Both b and cQ 19 Advertsing worth Rs 50,000 is done for the sales promotion of A/C rooms (advertising a 20% reduction in the bill for A/C rooms). This leads to a doubling of the occupancy rate of A/C rooms. Besides , it also has an effect of increasing non- A/C room occupancy by 20%, Is this advised ?a) Yes b) No c) Indifferent d) Cannot be determined e) None of theseAns b) NoThanks in Advance
16)SP= 5*30/2 *500 +10*30*9/20 *300=37500+40500=78000
CP=100000+10000=110000
loss=32000
17)AC rooms=375000
Remaining cost=110000-375000=72500
72500=10*30*x*300
x=.8066=80.66
18)AC Rooms=5*30 *600*4/5 - 100*5*30=72000-15000=57000
NON Ac Rooms=10*30*9*350/10-10*30*50=79500
79500+57000=136500
CP=100000+10000+25000=135000
Profit=1500
E
19) AC Rooms=5*30 *600*4/5 - 100*5*30=72000-15000=57000
20% of 45 % =9%
new occupancy=54%
cleary it is not advised
LOD-III Q 19 Page 204 Q22
A restaurant has a pricing policy that allows for the following mark-ups :
Soups Markups 40%
Starters Markups 50%
Meals Markups 25%
Breads Markups 75%
Sweets Markups 75%
Q 22 Which of these are true :
(i) Profits increases if a part of the money spent on starters was spent on breads and another part of starters was spent on snacks.
(ii) Profits increases if a part of the money spent on meal items was spent on starters and another part on soups was spent on breads.
(iii) Profits decreases if a certain amount of the money (say x) spent on soups was spent on starters and the same amount (Rs x) of the spending on soups is spent on meal items.
a) ii) only b) iii) only c) ii) and iii) only d) All the three e) None of these
Ans c) ii) and iii) only
My doubt is : if we do not know the amount ( except iii) then how can we gauge the increase or decrease in price.
@Subhashdec2 said:
18)AC Rooms=5*30 *600*4/5 - 100*5*30=72000-15000=57000NON Ac Rooms=10*30*9*350/10-10*30*50=7950079500+57000=136500CP=100000+10000+25000=135000Profit=1500E19) AC Rooms=5*30 *600*4/5 - 100*5*30=72000-15000=5700020% of 45 % =9%new occupancy=54%cleary it is not advised
@ScareCrow28 @shattereddream said:How many seven-digit numbers divisible by 11 have the sum of their digits equal to 59?1)40 2)55 3)34C3 Ä‚— 23C2 4)38C3 Ä‚— 26C2 5)None of these
Let the no be, (9-a)(9-b)(9-c)...(9-g)
Where the terms (9-a)...represent the digits
Now, 9-a + 9-b ....9-c = 59
=> a+b+c+d+e+f+g = 4
Also, 9-a+9-c+9-e+9-g-9+b-9+d-9+f = 11,22,33
=> (b+d+f) - (a+c+e+g) = 2, 13, ...
=> 2(b+d+f) = 6 OR (b+d+f) = 3
b+d+f = 3
Total = 5C2 = 10 ways
And, a+c+e+g = 1
Total = 4C3 = 4 ways
Total = 10*4 = 40 ways
Let the no be, (9-a)(9-b)(9-c)...(9-g)
Where the terms (9-a)...represent the digits
Now, 9-a + 9-b ....9-c = 59
=> a+b+c+d+e+f+g = 4
Also, 9-a+9-c+9-e+9-g-9+b-9+d-9+f = 11,22,33
=> (b+d+f) - (a+c+e+g) = 2, 13, ...
=> 2(b+d+f) = 6 OR (b+d+f) = 3
b+d+f = 3
Total = 5C2 = 10 ways
And, a+c+e+g = 1
Total = 4C3 = 4 ways
Total = 10*4 = 40 ways
can u plz explain why did u take no.s as (9-a)(9-b)(9-c)...(9-g)
and
"2(b+d+f) = 6 OR (b+d+f) = 3 "
and
" a+c+e+g = 1"
Q20
Q 25