Question

₹3115 is divided among A, B and C such that if we deduct ₹25, ₹28 and ₹52 respectively from their share, the ratio of their remaining amount has become 8:15:20. Find the amount of everyone.

Answer 1

Solution:

Let D , E and F such that

D=A-25     ......(1)

E=B-28      ......(2)

F=C-52      ......(3)

Then according to given conditions

A + B + C = 3115

D : E : F = 8 : 15 : 20

and

D + E +F =3115 - (25 + 28 + 52)=3010

Since:

8 + 15 + 20 = 43

D will get 8/43 of 3010 that is

D= (8/43)*3010=560

E will get 15/43 of 3010 that is

E=(15/43)*3010=1050

F will get 20/43 of 3010 that is

F=(20/43)*3010=1400

NOW from equations (1) , (2) and (3) we get

A=D+25=560+25=585

B=E+28=1050+28=1078

C=F+52=1400+52=1452.

So A=585 , B=1078 , C=1452

Answer 2

Answer:

A's share = Rs. 585

B's share = Rs. 1078

C's share = Rs. 1452

Step-by-step explanation:

Let the shares of A, B and C respectively be x, y and z.

Then,

x+y+z=3115...............(1)

As per given data,

(x-25):(y-28):(z-52)=8:15:20

Then,

x-25=8k

y-28=15k

z-52=20k

Adding these equations we get

(x+y+z)-(25+28+52)=8k+15k+20k

3115-105=43k

3010=43k

$k=\frac{3010}{43}$

$k=70$

x-25=8k

x-25=8(70)

x-25=560

x=585

y-28=15k

y-28=15(70)

y-28=1050

y=1078

z-52=20k

z-52=20(70)

z-52=1400

z=1452

A's share = Rs. 585

B's share = Rs. 1078

C's share = Rs. 1452