Question
When one man and three women work together, they need 18
days to finish a task. On the other hand, when three men and two women collaborate, they can complete the same task in 12 days. Now, let's determine the amount of time required for five men and one woman to work together to complete the task.Solution
According to questions Let the efficiency of a man = ‘M’ units/day Let the efficiency of a woman = ‘W’ units/day ATQ; (1M + 3W) × 18 = (3M + 2W) × 12 Or, 18M + 54W = 36M + 24W Or, 36M + 108W – (36M + 24W) = 36M + 24W Or, 60W = 36M Or, W:M = 3:5 So, let the efficiency of a woman and a man be ‘3x’ units/day and ‘5x’ units/day, respectively So, total work = (5x + 3 × 3x) × 18 = ‘252x’units Combined efficiency of 5 men and 1 women = (5 × 5x + 3x) = ‘28x’ units/day So, time taken by 5 men and 1 women together to complete the work = 252x ÷ 28x = 9 days
A certain sum on compound interest becomes 56,180 when compounded annually after 2 years and 59,550.80 after 3 years Find the sum.
A person lent Rs. 15000 at SI for 2 years at rate 20%. The interest he got again lent at CI for 2 years at rate 10%. Find the amount he got after 2 years.
A sum of ₹2,00,000 is invested for 3 years at a compound interest rate of 5% for the first year, 7% for the second year, and 10% for the third year. C...
A man invested Rs. 8,000 at simple interest of 'x%' p.a. and received Rs. 16,000 after 2 years. If he had invested Rs. 24,000 at simple interest of 'x%'...
Rs 2000 are invested at 5% p.a simple interest. If the interest is added to the principal after every 10 years, the amount will become Rs 4000 after
If Rs. 25,000 is loaned at a compound interest rate of 50% per annum, and the interest is compounded once every year, what will t...
Shivam invested 24000 at 12% p.a. simple interest for ‘x’ months. If at the end of ‘x’ months, he received a total amount of Rs.26400. What is t...
- A man invested Rs. 12000 in bank A at 10% p.a. compound interest for three years. The interest received from the bank A is Rs. 1472 more than the interest ...
- If Rs. 8,000 grows to Rs. 10,960 in 2 years at simple interest, what is the yearly interest rate?
A sum of ₹8,500 amounts to ₹11,900 in 5 years at simple interest per annum. If the rate of interest is increased by 3%, then the increased amount fo...
Relevant for Exams:
