Question

Khushi can do 1/4^th of the work in 3 days, Rashmi can do 1/2^nd 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 Rs. 8,030. How much is Rashmi’s share in it?
1. ₹ 2,640
2. ₹ 2,750
3. ₹ 2,250
4. ₹ 2,620
5. None of these

Answer 1

Correct Answer - Option 1 : ₹ 2,640

Given:

Time taken by Khushi to do 1/4^th of work = 3 days

Time taken by Rashmi to do 1/2^nd of work = 7 days

Time taken by Khushi to do 1/8th of work = 2 days

Total amount = Rs. 8030

Formula Used:

Efficiency = (Total work)/(Time taken)

Calculation:

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 efficiency of Khushi, Rashmi and Deepa = 28 : 24 : 21

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

So, Rashmi’s share

⇒ (24/73) × 8030

⇒ (24  x  110)

⇒ Rs. 2,640

∴ The share of Rashmi will be Rs. 2,640.