Question

Khushi can do 1/4^th of the work in 3 days, Rashmi can do 1/2^th of the work in 7 days and Deepa can do 1/8 ^th of the same work in 2 days. If the total amount paid for the work is ₹ 8,030. How much is Rashmi’s share in it?
1. ₹ 2,640
2. ₹ 2,750
3. ₹ 2,250
4. ₹ 2,620

Answer 1

Correct Answer - Option 1 : ₹ 2,640

Khushi can do 1/4 ^th of the work in 3 days.

∴ Khushi can do the whole work in 12 days.

Rashmi can do 1/2^th of the work in 7 days

∴ Rashmi can do the whole work in 14 days.

Deepa can do 1/8 ^th of the same work in 2 days.

∴ Deepa can do the whole work in 16 days.

Let the total work is (L.C.M. of 12, 14 and 16), i.e., 336 units

One day work of Khushi = 336/12 = 28 units

One day work of Rashmi = 336/14 = 24 units

One day work of Deepa = 336/16 = 21 units

∴ The ratio of work done by Khushi, Rashmi and Deepa = 28 : 24 : 21

Sum of the ratio = 28 + 24 + 21 = 73

So, Rashmi’s share

\(\Rightarrow \frac{{24}}{{73}} \times 8,030\) = ₹ (24  x  110) = ₹ 2,640

∴ Rashmi's share is ₹ 2,640