A sold a watch to B at a gain of 5% and B sold it to C at a gain of 4%. If C paid Rs. 1092 for it, t

M4maths Previous Puzzles

07 Jul 2015 Profit and loss

A sold a watch to B at a gain of 5% and B sold it to C at a gain of 4%. If C paid Rs. 1092 for it, the price paid by A is

OPtion

1) Rs. 993.72
2) Rs. 900
3) Rs. 896.50
4) Rs. 996
5) Rs. 1000
6) Rs. 995.90
7) Rs. 1050
8) Rs. 982.40
9) Rs. 1200
10)Rs. 890.50

Solution

Let C.P. be Rs. x Then
104% of (105% of x) = 1092
104/100 * 105/100 x = 1092
x = 1000

Correct Option: 5 Best Solution (18)

Abhishek   9 years AGO

B sold at 4% gain to C so, x + 4x/100 = 1092
104 x=109200
x= 1050
A sold at 5% gain to B, so y+5y/100=1050
105 y =10500
y=1000
A paid Rs. 1000

Like? Yes (19) | No (7)  

santhosh   9 years AGO

Assume Cost price for A = x
Selling price = y
given (y-x/x)*100 =5% => y=21x/20
and for b
(selling price-y/y)*100=4
selling price of B is cost price of C given 1092
so from there we get y
through which we get x value by above equation Y
x=1000

Like? Yes (7) | No (3)  

SUSHANT KUMAR   9 years AGO

104x/100=1096
x=1050
105x/100=1050
x=1000

Like? Yes (10) | No (7)  

Dhanraj Wanjare   9 years AGO

C paid 1092 to B
and B paid to A in - 1092*100/104=1050;
and A paid 1050 - 1050*100/105=1000;
so option 5 is satisfied

Like? Yes (11) | No (8)  

PIYUSH KUMAR   9 years AGO

100 ---5%----105---4%---109.20
109.20%---------- =1092
100%--------------- =1000

Like? Yes (7) | No (5)  

Surit Datta   9 years AGO

the question is wrong.
it should be like.
1092 in place of 1902
then the answer will be 1000

Like? Yes (5) | No (8)  

karthiga   9 years AGO

A(105/100)*(104/100)=1092;
A = 1092*100*100/(105*104)= 1000

Like? Yes (4) | No (7)  

Urvil shah   9 years AGO

b's purchase price is =100*1092/104=1050
a's purchase price=100*1050/105=1000

Like? Yes (3) | No (6)  

Anil Gautam   9 years AGO

The cost price of C is the selling price of B,
So,S.P of B= C.P of C =1092
Let, C.P of B is 'x' then
(1092-x)/(x)*(100)=4
1092-x=0.04x
x=1050
x is the cost price of B,
the cost price of B is the Selling price of A
So, s.p of A= c.p of B =1050
let, c.p of A be 'y' then
(1050-y)/(y)*100=5
1050-y=0.05y
y=1000
hence c.p of A is Rs.1000

Like? Yes (6) | No (9)  

MRITUNJAY   9 years AGO

let cp be x
Cp for B= x+x*5/100=y
cp for C =y*y*4/100=1092
solve the valve of y and x we x=1000

Like? Yes (4) | No (7)  

K Madhav Rao   9 years AGO

let A purcase the watch at Rs. x.
selling price of A=cost price of B= x+5% of x
=>cost price of B=x+((5/100)*x)
=>cost price of B=105x/100
now,
cost price of C= selling price of B= (105x/100)+ 4% of 105x/100
=>cost price of C=10920x/10000
given,
=>cost price of C=1092
=>10920x/10000=1092
=>x=1000 ans

Like? Yes (4) | No (7)  

Dinni   9 years AGO

Let c.p of A be x
Gain=5% = 21x/20=c.p of B
Gain=4% =273x/250=1092=c.p of C
X=Rs.1000.

Like? Yes (3) | No (6)  

Chandrima Goswami   9 years AGO

Let the price be x
A sold to B at price = 21x/100
B sold to C at price = 21x * 52/1000

21x * 52/1000=1902
=> x = 1000

So ans is option 5)

Like? Yes (7) | No (11)  

Navin   9 years AGO

B+(4B/100) = 1092
104B = 109200
B=1050

A+(5A/100) = 1050
105A = 105000
A = 1000

Like? Yes (3) | No (7)  

Narendra Jadon   9 years AGO

Let the price at which A bought watch be x rs
B got it for = (105/100)*x
C got it for = (104/100)*(105/100)*x = 1092
Finding the values of x we get 1000.
Hence Price paid by A is 1000 Rs.

Like? Yes (4) | No (8)  

Aarti Galar   9 years AGO

104% of 105% of A
104/ 100 x 105 /100 x A = 1092
A=1000
therefore, ans. is 5) 1000.

Like? Yes (4) | No (8)  

Archie   9 years AGO

Let price paid by A is Rs.100 then price paid by B=100+(5%of100)=Rs 105
Price paid by C=105+(4%of 105)=Rs 109.2
When C paid Rs.109.2
A paid 100
When C pays Rs.1092
A would have paid Rs. (1092/109.2)*100
= Rs. 1000
Hence option 5 is correct

Like? Yes (4) | No (8)  

Tanmay Shah   9 years AGO

B's purchase price=100*1092/104
=1050
A's purchase price=100*1050/105
=1000

Like? Yes (3) | No (8)