Question

Abhishek and Deepanshi undertake to do a piece of work for ₹1,000. Abhishek alone can do it in 5 days and Deepanshi alone can do it in 10 days. With the help of Chitransh, they finish it in 2 days. How much should Chitransh be paid for his contribution?

• A. ₹200
• B. ₹500
• C. ₹300
• D. ₹400

Answer 1

Answer:

D. ₹400

Let total work = 1

Individual efficiencies

• Abhishek: ( \frac{1}{5} ) per day

• Deepanshi: ( \frac{1}{10} ) per day

Combined (A + D):
$\frac{1}{5} + \frac{1}{10} = \frac{3}{10}$

Work done in 2 days

$\text{Work by A + D in 2 days} = 2 \times \frac{3}{10} = \frac{3}{5}$
Remaining work done by Chitransh

$1 - \frac{3}{5} = \frac{2}{5}$

Share of payment

Chitransh did $\frac{2}{5}$of the work.

$\text{His share} = \frac{2}{5} \times 1000 = 400$

=₹400