Ajay, Bala and Chatur have efficiencies of work in the ratio 3 : 4 : 7. Ajay started doing a piece o

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19 Jan 2022 Ratio and Proportion

Ajay, Bala and Chatur have efficiencies of work in the ratio 3 : 4 : 7. Ajay started doing a piece of work alone. After 3 days Bala joined him. After 3 more days Chatur joined them. After 6 more days work got finished. For the complete work they together received Rs. 22800. What will be the share of Chatur ?

OPtion

1) 7200
2) 9300
3) 7800
4) 8100
5) 8700
6) 7500
7) 9600
8) 8400
9) 10200
10) None of these

Solution

Given efficiencies of Ajay, Bala & Chatur in the ratio 3:4:7
Let Ajay, Bala and Chatur finish 3x, 4x and 7x work in a day respectively.
As per given information, Ajay started doing a piece of work alone, after 3 days Bala joined him, after 3 more days Chatur joined them. After 6 more days work got finished.
This means Ajay worked for 12 days, Bala for 9 days and Chatur for 6 days.
Work done by Ajay = 12*3x = 36x
Work done by Bala = 9*4x = 36x
Work done by Chatur = 6*7x = 42x
Therefore, share of Chatur = 22800*42x/(36x+36x+42x) = 8400 Rs.

Correct Option: 8 Best Solution (1)

G.S.Kantharao   2 years AGO

Ajay:Bala: Chatur=3:4:7
Their works per day=3/14,4/14,7/14
Ajay,Bala, Chatur worked=12d,9d,6days respectively.
Their works are =3*12/14=36/14
,4*9/14=36/14,6*7/14=42/14
So the ratio is 36:36:42
Chatur get =₹22800*42/114
=₹8400
My option is 8👈

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