a) Rs. 480
b) Rs. 240
c) Rs. 320
d) Rs. 400
Answer: d
Explanation: (A + B)’s 1 day work
$$\eqalign{
& = \frac{1}{{12}} + \frac{1}{{15}} \cr
& = \frac{{5 + 4}}{{60}} \cr
& = \frac{9}{{60}} = \frac{3}{{20}} \cr} $$
(A + B + C)’s 1 day work = $$\frac{1}{5}$$
C’s 1 day work
$$\eqalign{
& = \frac{1}{5} – \frac{3}{{20}} \cr
& = \frac{{4 – 3}}{{20}} \cr
& = \frac{1}{{20}} \cr} $$
Ratio of their work
$$\eqalign{
& = \frac{1}{{12}}:\frac{1}{{15}}:\frac{1}{{20}} \cr
& = 5:4:3 \cr} $$
$$\eqalign{
& {\text{A’s}}\,{\text{share}} = \frac{5}{{12}} \times 960 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}400 \cr} $$
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