A and B entered into partnership with capitals in the ratio 4 and 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs.760. The share of A in this profit is:

M4maths Previous Puzzles

29 Oct 2014 Partnership A and B entered into partnership with capitals in the ratio 4 and 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs.760. The share of A in this profit is:: OPtion
1) Rs.480
2) Rs.460
3) Rs.380
4) Rs.390
5) Rs.410
6) Rs.430
7) Rs.450
8) Rs.330
9) Rs.360
10)None of these; Correct Option: 8 Best Solution (82)

surya 10 years AGO

for first three months
A invested amount = 3*4 = 12
B invested amount= 3*5 = 15
after three months A withdrew 1/4th of capital
then remaining amount =3 units
i.e for next 7 months = 3*7=21

like that B withdrew 1/5th of capital then remaining amount =4 units
i.e for next 7 months =4*7=28

finally total investment units =
A's investment (12+21)+ B's investment (15+28)=76 units

end of 10 months they gain 760
for each unit gain=760/76=10
A's gain =33*10=330
answer (8)

Like? Yes (22) | No (4)

Simranjit Singh 10 years AGO

Ratio of Profits= 4x*3+3x*7 : 5x*3+4x*7
=33 : 43
So A's Profit= (33/76)*760 = 330
So option (8)

Like? Yes (12) | No (3)

Chirag Ranjan Lahiri 10 years AGO

Ratio = 4:5.
1/4*(4) = 1.
4-1 = 3.
Therefore 4*3 months + 3*7 months = 33.

1/5*(5) = 1.
5-1 = 4.
Therefore 5*3 months + 4*7 months = 43.
So, gain ratio is 33:43.

Total gain is 760/-
A's share is (33*760)/76 = 330

Like? Yes (10) | No (3)

Monolisa Ghosh 10 years AGO

Capital of A & B r= 4x & 5x
capital withdrw after 3 months
A=4x-(1/4 of 4x)= 3x
B=5x-(1/5 of 5x)= 4x
profit of A & B= 33:43
A=330

Like? Yes (7) | No (2)

Gopal 10 years AGO

First 3 Monts 4:5 last 7 Months 3:4 so
A's portion=(4*3)+(3*7)=33
B's portion=(5*3)+(4*7)=43
So Ratio of A:B=33:43
So A's profit=(33/76)*760
=330
Ans Option 8

Like? Yes (8) | No (6)

Mamata Roy 10 years AGO

a=4x,b=5x
(4x*3)+(4x*1/4*7):(5x*3)+(5x*1/5*7)=33x:43x
a=760*33x/76x=330

Like? Yes (3) | No (1)

VIKKI JHA 10 years AGO

we have given ratio of capitals as 4:5
now let we assume
capital of a=4x
capital of b=5x
since a and b started their partnership at same time
therefor
ratio of profit at the end of 10 month is
(4x*3+3x*7):(5x*3+4x*7)
33:43
then a's profit=760*33/33+43
=>33*10
=>330

Like? Yes (3) | No (1)

vibhor 10 years AGO

A : B = [4x *3 + (4x -1/4*4x )*7] : [5x * 3 +(5x -1/5 * 5x ) *7]

= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43

A's share = Rs. (760 *33/76)
= Rs. 330.
76

Like? Yes (3) | No (2)

BINAY PRASAD YADAv 10 years AGO

A:B= [4x*3+(4x-1/4*4x)*7]:[5x*3+(5x-1/5*5x)*7]
= (12x+43x):(15x+28x)
=33x:43x
= 33:43
therefore A's sharee = Rs 720*33/76=330

Like? Yes (2) | No (1)

Ajinkya Kulkarni 10 years AGO

Take A and B entered in partnership with capital of 4x and 5x resp ...
So profit of A: profit of B =(4x*3+4x*(3/4)*7):(5x*3+5x*(4/5)*7)=33:43

So A's share=33/76*760=330

Like? Yes (1) | No (1)

shanmugapriyan 10 years AGO

the share of capital is 4:5.a has 4/9 shares and b has 5/9 shares
a withdrew 1 and b also 1 so the capital investment is 3:4 and the share amount of a is rs.330

Like? Yes (1) | No (1)

GSV Srilakshmi 10 years AGO

after calculating the money invested by A and B in 10 months we get ratio as 33:43, from this ratio we can find the share of A

Like? Yes (2) | No (2)

veeranjaneyulu 10 years AGO

separating for 3 months and 7 and sharing profit

Like? Yes (1) | No (1)

PUJA MUKHERJEE 10 years AGO

profit ratio=(4x*3)+(4x-(4x*0.25)*7): (5x*3)+(5x-(5x*.2)*7)
=33x:43x
a's share=760*(33/76)
=330

Like? Yes (1) | No (1)

Pawan Kumar 10 years AGO

profit ratio of a:b=4x*3+3x*7:5x*3+4x*7
a:b=33x:43x
so A's profit =(33x/33x+43x)*760=330

Like? Yes (1) | No (1)

Gitanjali K 10 years AGO

330

Like? Yes (1) | No (1)

Biswajit Saha 10 years AGO

[{4x * 3} + { (4x-x)*7}] : [{5x * 3} + {(5x-x)*7}]

=> 33x : 43x = 33:43

Share of A = 760 * (33/(33+43)) = 330

Like? Yes (1) | No (1)

Shaik.Abdul Sattar 10 years AGO

A : B = [4x x 3 + (4x - 1/4 x 4x ) x 7 ] : [5x x 3 + (5x - 1/5 x 5x ) x 7]

= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share = Rs. 760 x 33/76 = Rs. 330.

Like? Yes (1) | No (1)

chetna yadav 10 years AGO

let the money be 4x and 5x...
so
A - 3*4x+ 7*(4x/4)
B - 3*5x+7*(5x/5)
a share- (33/76)*760=330

Like? Yes (1) | No (1)

sanjeev kumar 10 years AGO

ans RS 330

Like? Yes (1) | No (1)

Anoop Tiwari 10 years AGO

A:B=[ 4x*3+(4x-1/4*4x)*7]:[5x*3+(5x-1/5*5x)*7]
=(12x+21x):(15x+28x)
=33x:43x
=33:43
hence A's share=760*33/76=330rs
ans is 8)

Like? Yes (1) | No (1)

shekhar suman 10 years AGO

the answer is very
long

Like? Yes (1) | No (1)

Maniratnam 10 years AGO

if we divide the 760 into 10 parts we will get 76 per month and for 1st 3 months it is 76*3 = 228 and A share in that is (4/9)*228 = 101.33 and in the remaining 532 A share is (3/7)th part i.e, 228 . so , totally 228 + 101.33 = 330(approx)

Like? Yes (1) | No (1)

sudha chalumuri 10 years AGO

as investment is in the ratio of 4:5 profit should also be in the same ratio. though they have withdrawn some amount of money. so A's share= 4*760/9 approximately 330

Like? Yes (1) | No (1)

Vikas 10 years AGO

ratio is 33:43
so 33/76*760=330

Like? Yes (1) | No (1)

Rashi Bansal 10 years AGO

ratio of total investment = (400*3 + 300*7)/(500*3+ 400*7)
=33/43
so share of A = 760/76*33 = 330

Like? Yes (1) | No (1)

Chandra chur anand 10 years AGO

A : B =4x *3 +4x - 1x 4x * 7 :5x * 3 +5x - 1x 5x * 7

= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.
ao share of A=760*33/76=330

Like? Yes (1) | No (1)

BHASKAR MANDAL 10 years AGO

A:B = [4x *3 + (4x - (1/4 * 4x))* 7 ]: [5x * 3 + (5x - (1/5 * 5x)) *7 ]

= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share = Rs. 760 *33/76 = Rs. 330
option 8 is the answer

Like? Yes (2) | No (3)

Anand Dwivedi 10 years AGO

A : B = 4x x 3 + 4x - 1 x 4x x 7 : 5x x 3 + 5x - 1 x 5x x 7
4 5
= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share = Rs. 760 x 33 = Rs. 330.
76

Like? Yes (2) | No (3)

Sundar Kumar 10 years AGO

Ratio of the initial capital of A and B = 4 : 5
Hence we can take the initial capitals of A and B as 4x and 5x respectively
Ratio in which profit will be divided
= (4x*3) + (3/4)*(4x)*7 : (5x*3)+ (4/5)*(5x)*7
= 12+21 : 15+28
= 33 : 43
A's share = 760 * 33/76 = 330
Answer: Option 8) 330

Like? Yes (2) | No (3)

NAVEEN KUMAR 10 years AGO

Ratio of the initial capital of A and B = 4 : 5

Hence we can take the initial capitals of A and B as 4x and 5x respectively

Ratio in which profit will be divided

= (4x*3) + (3/4)*(4x)*7 : (5x*3)+ (4/5)*(5x)*7

= 12+21 : 15+28

= 33 : 43

A's share = 760 * 33/76 = 330 ( option 8)

Like? Yes (3) | No (4)

RAKESH 10 years AGO

A:B = 4X*3+3X*7 : 5X*3+4X*7 = 33:43

A = 33/76 * 760 = 330

Like? Yes (2) | No (3)

Mani kandan 10 years AGO

A : B = 4x x 3 + 4x - 1 x 4x x 7 : 5x x 3 + 5x - 1 x 5x x 7
4 5

= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share = Rs. 760 x 33 = Rs. 330.

Like? Yes (1) | No (2)

Namrata Gupta 10 years AGO

Let capital of A and B are 4x &5x respectively.
(4x*3 + 3x*7):(5x*3 + 4x*7)=33:43
So A's share : (33/76)*760=330

Like? Yes (1) | No (2)

ITHA Naresh Babu 10 years AGO

ratio of thier profits is (4*3+3*7):(5*3+4*7)
i.e. 33:43
hence 76 parts makes 760. so A's share is 33 parts
i.e. Rs.330

Like? Yes (1) | No (2)

chaitanya 10 years AGO

by simplifying A:B we get 33:43 then
A's Share is 33/76*760=330

Like? Yes (1) | No (2)

nanda 10 years AGO

(4x*3+3x*7):(5x*3+4x*7)
33:43

33/76*760=330

Like? Yes (1) | No (2)

gouthamdaneti 10 years AGO

A: B=4:5
after 3 months it is 3:4
together for 10 months is 33:43
therefore A profit is 33*760/76

Like? Yes (1) | No (2)

Chandrani Chatterjee 10 years AGO

Let A's at the beginning be 4x and B be 5x
Therefore, A's invest= (4x*3)+(3x*7)= 33x
B's invest = (5x*3)+(4x*7)= 43x
So, A's share in profit will be 33x/76x * 760 = 330.

Like? Yes (1) | No (2)

Anisha Singhal 10 years AGO

ratio of profit is the same as the ratio of investment. so investment made by A for 10 months is 4x/9 for first 3 months and (4x/9)-(x/9)=x/3 for next 7 months. Investment made by B is 5x/9 for first 3 months and 4x/9 for next 7 months, where x is total capital of A and B. So ratio of their investment/profit is 33:43. Share of A is (33/76)*760=330

Like? Yes (1) | No (2)

KRISHAN MURARI 10 years AGO

(4/9)*(3/10)*760 + (3/7)*(7/10)*760=329.3 = 330

Like? Yes (1) | No (2)

phani krishna 10 years AGO

total partnership= [(4*x*3)+(3*x*7)]:[(5*x*3)+(4*x*7)]
simplyfying result is 33:43
so A's share is Rs.330

Like? Yes (1) | No (2)

Ramesh Sriram 10 years AGO

end of 10 months their shares
33:43
a=330

Like? Yes (1) | No (2)

ankit mudgil 10 years AGO

We'll solve it by considering let A invested rs. 4x per month and B invested rs. 5x per month.

thn after 3 months A withdrews his 1/4 th investement(1/4*4x= rs. x) and now invested rs. 3x per month (4x-x=3x) for next 7 months.

similarly, B invested rs. 5x per month for 3 months then invested rs. 4x per month for next 7 months.

Now,
A's total investement for 10 months= 4x*3 = 3x*7 = 33x
similarly,
B's total investement for 10 months= 5x*3 = 4x*7= 43x

total investement= 33x + 43x = 76x
total profit = rs. 760

if we equate rs. 760= 76x, we got x= rs. 10
hence A's share= 33x= 33*10= rs. 330

.....................................................................

Like? Yes (2) | No (3)

Sanchit Kapoor 10 years AGO

If earlier their investments were 4 x and 5 x for 3 months
and then
3 x and 4 x for next 7 months,

Then profit will be divided in ratio of (4 x*3 + 3 x*7) :( 5 x*3+4 x*7) or 33:43

Hence A's share in profit of Rs 760 = 760*33/76 = Rs 330.

Like? Yes (2) | No (3)

SWAPNA GEORGE 10 years AGO

A:B becomees 3:4

Like? Yes (1) | No (2)

Soham Dalwadi 10 years AGO

A : B = [4x x 3 +(4x -1/4x 4x)x 7] : [5x x 3 + (5x -1/5x 5x)x 7]
= (12x + 21x) : (15x + 28x)
= 33x :43x
= 33 : 43.

A's share = Rs. [760 x33/76] = Rs. 330

Like? Yes (1) | No (2)

Anand 10 years AGO

If earlier their investmwnts were 4x and 5x for 3 months
and then
3x and 4x for next 7 months,

Then profit will be divided in ratio of (4x*3 + 3x*7) :( 5x*3+4x*7) or 33:43

Hence A's share in profit of Rs 760 = 760*33/76 = Rs 330.

Like? Yes (1) | No (2)

santosh kumar patel 10 years AGO

ans: 330

Like? Yes (2) | No (3)

Priya Dharshini 10 years AGO

let take A and B amount as 400 and 500(i.e 4:5 ratio)

A : B
400*3+300*7 :500*3+400*7
3300 :4300

760*33/76=330;

Like? Yes (1) | No (2)

Abhishek Porwal 10 years AGO

Like? Yes (1) | No (3)

Dr.Dipin Singh 10 years AGO

A and B entered into partnership with capitals in the ratio 4 ( 4x)and 5 (5x). After 3 months, A withdrew 1/4 of his capital(x)and B withdrew 1/5 of his capital(x). The gain at the end of 10 months was Rs.760.
The ratio of profit will be
(4x*3+3x*7): (5x*3+4x*7) or 33:43.
so share of A will be 760*33/76= Rs 330

Like? Yes (1) | No (3)

Amit Kumar Pal 10 years AGO

A:B RATIO 4X : 5X.

FOR THREE MONTHS A's SHARE = 4X*3 = 12X.

FOR THREE MONTHS B's SHARE = 5X*3 = 15X.

FOR NEXT 7 MONTHS NEW RATIO = (4X-1/4*X) : (5X-1/5*X) I. E 3X:4X.

FOR 7 MONTHS A's SHARE = 3X*7 = 21X.

FOR 7 MONTHS B's SHARE = 4X*7 = 28X.

A's TOTAL SHARE =12+21 = 33X & B's = 15 +28 =43X.

TOTAL MONEY = 760
TOTAL SHARE = 33+43 =76X.

THEREFORE 76X =760
X= 10
HENCE A'S SHARE=33X =33*10=330.

Like? Yes (1) | No (3)

MANISH KUMAR SINGH 10 years AGO

let ratio of A and B are 4Y:5Y
then [ 4Y x 3 +( 4Y- 1 x 4Y) x 7] :[ 5Y x 3 +( 5Y - 1 x 5Y) x 7]
= (12Y + 21Y) : (15Y+ 28Y)

= 33Y :43Y

= 33 : 43.

A's share = Rs. (760 x 33)/76 = 330.
A's share is 330.

Like? Yes (1) | No (3)

v pavan 10 years AGO

Ratio of capitals(A/B)=4/5=Ratio of profit for 3 months
Ratio of capitals for next & months= (4*3/4)/(5*4/5)=3/4
total profit = 760= 3*(4x+5x)+7*(3x+4x)
x=10
A's share= 3*4x+7*5x=33x=330

Like? Yes (1) | No (3)

Arijit Acharyya 10 years AGO

let,their capitals 4x and 5x
ration of their capitals for 10 months ---
A : B = (4x for three months and (4x-1/4th of 4x for 7 months)) : (5x for three months and (5x-1/5th of 5x for 7 months))
A : B = (4x*3+(4x-(1/4)*4x)*7) : (5x*3+(5x-(1/5)*5x)*7)
A : B =(12x+21x) : (15x+28x) = 33 : 43
now, the share of A in the profit is= 760*(33/(33+43)) =760*(33/76) =330
option 8)

Like? Yes (1) | No (3)

dhanaseelan 10 years AGO

Ans is 330

Like? Yes (1) | No (3)

bhagya 10 years AGO

Like? Yes (1) | No (3)

Perumal 10 years AGO

investmwnts were 4x and 5x for 3 months and then 3x and 4x for next 7 months, Then profit will be divided in ratio of
(4x*3 + 3x*7) :( 5x*3+4x*7) or 33:43 Hence A's share in profit of Rs 760 = 760*33/76 = Rs 330

Like? Yes (1) | No (3)

Ankit Raj 10 years AGO

A : B = 4x x 3 + 4x - 1 x 4x x 7 : 5x x 3 + 5x - 1 x 5x x 7
4 5
= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share = Rs. 760 x 33 = Rs. 330

Like? Yes (1) | No (3)

Dinesh thatti 10 years AGO

Let A & B be X : Y
[4x x 3 + (4x - 1/4 x 4x) x 7] : [5x x 3 + (5x - 1/5 x 5x) x 7

= (12x + 21x) : (15x + 28x) = 33x :43x = 33 : 43.

X's share = Rs. 760 x 33/76 = Rs. 330.

Like? Yes (1) | No (3)

purushothama 10 years AGO

A'S (3 * 4x)+(7*4x(3/4))=33x

B'S (3* 5X)+(7*5X(4/5))=43X

PROFIT OF A'S=[33/(33+43)]*760=RS 330

Like? Yes (1) | No (3)

satyam sharma 10 years AGO

A : B =[4x*3+(4x-1/4*4x)*7] : [5x*3+(5x-1/5*5x)*7]
A : B =[12x+21x] : [15x+28x]
A : B =33 : 43
total profit = 760
A's share is = 760* 33/76=330
so correct answer is option 8

Like? Yes (1) | No (3)

CHANDA VIJAYALAKSHMI 10 years AGO

A'S (3 * 4x)+(7*4x(3/4))=33x

B'S (3* 5X)+(7*5X(4/5))=43X

PROFIT OF A'S=[33/(33+43)]*760=RS 330

Like? Yes (1) | No (3)

jayalakshmi 10 years AGO

A'S (3 * 4x)+(7*4x(3/4))=33x

B'S (3* 5X)+(7*5X(4/5))=43X

PROFIT OF A'S=[33/(33+43)]*760=RS 330

Like? Yes (1) | No (3)

Jabez David 10 years AGO

Ratio of the initial capital of A and B = 4 : 5

Hence we can take the initial capitals of A and B as 4x and 5x respectively

Ratio in which profit will be divided

= (4x*3) + (3/4)*(4x)*7 : (5x*3)+ (4/5)*(5x)*7

= 12+21 : 15+28

= 33 : 43

A's share = 760 * 33/76 = 330

Like? Yes (1) | No (3)

lakshmi 10 years AGO

A'S (3 * 4x)+(7*4x(3/4))=33x

B'S (3* 5X)+(7*5X(4/5))=43X

PROFIT OF A'S=[33/(33+43)]*760=RS 330

Like? Yes (1) | No (3)

TINKU MITTAL 10 years AGO

Length of the period = 10 months
After 3 months ratio of A and B becomes
4 – ¼ x 4 : 5 – 1/5 x 5
4-1 : 5- 1 = 3 : 4
Ratio of the profit :
4 x 3 + 3 x 7 : 5 x 3 + 4 x 7
33 : 43
∴ A’s share = 33/76 X 760
= Rs. 330/-

Like? Yes (1) | No (3)

Shahrukh 10 years AGO

A:B= 33:43
A's share = Rs. (760 x 33/76)= Rs. 330.

Like? Yes (1) | No (3)

mounika 10 years AGO

let x be total capital then
A:B=[4x*3+[4x-(1/4)*4x]*7]:[5x*3+[5x-(1/5)*5x]*7]
A:B=33:43
A's share=760*(33/76)
=330

Like? Yes (1) | No (3)

Swagatam Kumar Das 10 years AGO

Let A's share is 400 and B's is 500

A's share for 3 month is 400 and for 7 month is 300
B's share for 3 month is 500 and for 7 month is 400

So A:B=(400*3+300*7):(500*3+400*7)
=33:43
so A's share is profit is 760*33/76
=330

Like? Yes (1) | No (3)

sandineni kiran 10 years AGO

total 10 months profit=760
first 3 months=>12x:15x
next 7 months=>(1-1/4)*7*4x :(1-1/5)*5x*7
add all months ratios
3*4x+((3/4*4x)*7):3*5x+((4/5)5x)*7)====>33x : 43x
profit=(33/76)*760=3300

Like? Yes (1) | No (3)

rosemary 10 years AGO

Explanation:

A : B = ((4* x3) + (4x - 1/4x 4*)x 7 ): ((5*x3) +( 5x - 1/5x 5*) x 7)

= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share = Rs. 760 x 33/76 = Rs. 330.

Like? Yes (1) | No (3)

Ashish Shende 10 years AGO

A:B = (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share =RS(760x33/76)=Rs330

Like? Yes (1) | No (3)

ganesh babu 10 years AGO

A : B =(4X x 3 +4X - 1/4 x 4Xx 7:5Xx 3 +5X - 1/5x 5X x 7)
= (12x + 21x) : (15x + 28x)
= 33x :43x
= 33 : 43.
A's share = (Rs.760/76 x33/76)= Rs. 330.

Like? Yes (1) | No (3)

pratik 10 years AGO

A : B = 4x x 3 + 4x - 1 x 4x x 7 : 5x x 3 + 5x - 1 x 5x x 7
4 5
= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share = Rs. 760 x 33 = Rs. 330.
76

Like? Yes (1) | No (3)

Sabita Mohanty 10 years AGO

the ratio of a &b 's money is 33:43 so a's profit is
(33/76)*760=330

Like? Yes (1) | No (3)

Tark Patel 10 years AGO

For 10 months,
A : B
= ( 4x * 3 + ( 4x - (1/4)*4x ) * 7 ) : ( 5x * 3 + ( 5x -
(1/5)*5x ) * 7 )

= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43.

A's share = (33 / 76) * (760) = 330/-

Like? Yes (1) | No (3)

Satyanarayana 10 years AGO

A:B = [4x * 3+(4x-1/4*4x)*7] : [5x * 3+(5x-1/5*5x)*7]
= (12x+21x) : (15x+28X)
=33x : 43X

A's Share = 760*33/(33+43)
= 760*33/76
=330 Rs

Like? Yes (1) | No (3)

Aparna Bhattacharya 10 years AGO

A:B=[4x*3+(4x-1/4*4x)*7] : [5x*3+(5x-1/5*5x)*7]
=(12x+21x) : (15x+28x)
=33x:43x
=33:43
A's share=Rs.(760*33/76)=Rs.330 (option : 8)

Like? Yes (1) | No (3)

Shreya Tiwari 10 years AGO

If earlier their investments were 4x and 5x for 3 months
and then
3x and 4x for next 7 months,

Then profit will be divided in ratio of (4x*3 + 3x*7) :( 5x*3+4x*7) or 33:43

Hence A's share in profit of Rs 760 = 760*33/76 = Rs 330

Like? Yes (1) | No (4)

ravi prakash 10 years AGO

4*3+3*7=33
5*3+4*7=43
33+43=76
so 76x=760
x=10
A share =33x
33*10=330 anssss............

Like? Yes (2) | No (5)

Dimple

India

Punjab

Time: 00:01:33

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