A man invested 1/3 of his capital at 21% ; 1/4 at 16% and the remainder at 10% if his annual income

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13 Oct 2016 The capital is

A man invested 1/3 of his capital at 21% ; 1/4 at 16% and the remainder at 10% if his annual income is 2002 Rs. The capital is:

OPtion

1) Rs. 5400
2) Rs. 6000
3) Rs. 6600
4) Rs. 7200
5) Rs. 13200
6) Rs. 14400
7) Rs. 9900
8) Rs. 15600
9) Rs. 18400
10)None of these

Solution

Let the capital be Rs. x
x/3*21/100*1 + x/4*16/100*1 + 5x/12*10/100*1 = 2002
Or 21x/300 + 16x/400 + 50x/1200 = 2002
=> 182x=2002*1200 = 13200

Option 5)

Correct Option: 5 Best Solution (10)

Shavy khanna   8 years AGO

Let capital=x
Invested x/3 at 21%=7x/100
Invested x/4 at 16%=x/25
Invested rest at 10%
Rest =x-(x/3+x/4)=5x/12
So 5x/12 at 10%=x/24
7x/100+x/25+x/24=2002
(42x+24x+25x)/600=2002
91x=1201200
x=13200(Option 5)

Like? Yes (7) | No (2)  

Dinesh Sharma   8 years AGO

(x/3 * 21%) + (x/4 * 16%) + (5x/12 * 10%) = 2002

i.e. x = 13200

note: 5x/12 is remainder capital i.e. (x-x/3-x/4)

Like? Yes (6) | No (5)  

G.S.Kantharao   8 years AGO

Let the amount is 12x
1/3,1/4,5/12(remaining) are 4x,3x,5x.
Income at the rate of 21â„…,16â„…,10â„… are 4x*(21/100)+3x*(16/100)+5x*(10/100)=(84x+48x+50x)/100 = 182x/100 = 2002
x = 200200/182=1100
Capital = 12x = 12*1100= 13200.
Hence the right option is 5.

Like? Yes (2) | No (2)  

ANAND MOHAN RAI   8 years AGO

let the capital is Rs x.
by condition
(x/3)*21/100+(x/4)*16/100+(5/12)*x*10/100=2002
:-> [1-(1/3+1/4)=5/12) ]
hence x=13200
option 5 :)

Like? Yes (2) | No (3)  

SADDAM   8 years AGO

Let the capital be x
Then income on 1/3rd part is
(x/3)*21*1/100=7x/100
Then for 1/4th part is
(x/4)*16*1/100=4x/100
and for the remainder it is
(5x/12)*10*1/100=x/24
Hence for total income we have
7x/100+4x/100+x/24=2002
》x=13200

Like? Yes | No (2)  

Dinesh kumar sah   8 years AGO

Very simple,
Let the capital is Rs. x.
then according to the question,
(x/3×21×1)/100+(x/4×16×1)/100+(5x/12×10×1)/100=2002
if we simplify the above expression the we will get x=Rs. 13200 Ans
Hence option (5) is the right answer.

Like? Yes | No (2)  

pratiksha mahajan   8 years AGO

x be capital
(x/3)*21/100+x/4*16/100+(x-x/3-x/4)*10/100=2002
x=13200

Like? Yes (1) | No (3)  

vijay anand   8 years AGO

Let his capital be = x RS.
According to question
(x/3)21/100+ (x/4)16/100+{1-(1/3+1/4)}10x/100 = 2002

Solving for x we will get
x= 13200rs.

Like? Yes (1) | No (3)  

KARTIK CHOUDHARY   8 years AGO

let x be the capital then a/c to qurs
(21x/300)+(16x/400)+(50x/1200)=2002
solving for x
we get x=13200

Like? Yes | No (2)  

JAYA TRIPATHI   8 years AGO

let the total capital is x and the
3rd part of the capital is = 1-(1/3+1/4) = 5/12
therefore,
1/3*21/100+1/4*16/100+5/12*10/100 = 2002
7x/100+4x/100+25x/600 = 2002
42x+24x+25x/600 = 2002
91x = 2002*600
x = 13200.
option (5).

Like? Yes | No (2)