Question
A group of 3 men and 5 women can finish a task in 12
days, while another group of 5 men and 3 women can complete the same task in 9 days. If one man and one woman are hired to complete the task for ₹1,092, and the man's earnings are ₹'b', calculate 35% of (b - 438).Solution
Let the efficiency of a man and a woman be 'M' units/day and 'W' units/day, respectively. ATQ, (3M + 5W) X 12 = (5M + 3W) X 9 Or, 36M + 60W = 45M + 27W Or, 9M = 33W Or, (M/W) = (11/3) Let 'M' = '11a' and 'W' = '3a' So, 'b' = [11a ÷ (11a + 3a) ] X 1,092 = 858 Therefore, required value = 0.35 X (858 - 438) = 147
The simple interest on an amount of Rs. x at an annual rate of 4% for 3 years is Rs. 120 less than the simple interest on an amount of Rs. (x – 800) ...
The simple interest accrued in five years on a principal of Rs. 50,000 is one – tenth of the principal. What is the rate of simple interest p.a.?
Calculate the principal amount 'x' for which the simple interest accrued over 5 years at an annual rate of 24% is equivalent to the compound interest ea...
A man invested a certain amount of sum at 12.5% per annum simple interest and earned an interest of Rs.2700 after 3 years. If the same amount is investe...
Atul has Rs.550 with him. He invested 40% of the amount at 5% p.a. for 6 years and rest at 20% p.a. for 5 years. Find the sum of simple interests receiv...
Simple interest and compound interest (compounded annually) earned on a sum at the end of 2 years at a certain rate of interest p.a. are Rs. 1700 and Rs...
What sum of money must be given at simple interest for 3 months at 4% per annum in order to earn Rs. 240 interest?
- Nisha placed Rs. 25,000 in plan 'P' and Rs. 40,000 in plan 'Q'. Plan 'P' earns 14% simple interest annually for 2 years, and plan 'Q' earns 9% per annum fo...
The excess of compound interest (annual compounding) over simple interest on a principal for 2 years at 10% p.a. is Rs. 200. Find the principal.
Viraj invested Rs. 3500 at 20% p.a. simple interest for 3 years. After 3 years, he invested the amount received by him at the 20% p.a. compound interest...
Relevant for Exams:
