Start learning 50% faster. Sign in now
Let’s assume the total work is 360 units. Pankaj alone can do the same piece of work in 45 days. Efficiency of Pankaj = 360/45 = 8 units/day The efficiency of Rahul is 12.5% more than the efficiency of Pankaj. Efficiency of Rahul = (100+12.5)% of 8 = 112.5% of 8 = (112.5x8)/100 = 9 units/day Rahul alone can do 60% of the same piece of work in (z-4) days. Time taken by Rahul alone to complete the work alone = [(z-4)/60]x100 = [(z-4)/3]x5 So [[(z-4)/3]x5]x9 = 360 [(z-4)/3]x5 = 40 [(z-4)/3] = 8 (z-4) = 24 z = 24+4 z = 28 Queen and Rahul together can do 75% of the same piece of work in (0.5z+4) days. Time taken by Queen and Rahul together to complete the whole work = [(0.5z+4)/75]x100 = [(0.5z+4)/3]x4 (Efficiency of Queen + 9)x[(0.5z+4)/3]x4 = 360 Put the value of ‘z’ in the above equation. (Efficiency of Queen + 9)x[(0.5x28+4)/3]x4 = 360 (Efficiency of Queen + 9)x[(14+4)/3]x4 = 360 (Efficiency of Queen + 9)x[18/3]x4 = 360 (Efficiency of Queen + 9)x6x4 = 360 (Efficiency of Queen + 9)x24 = 360 (Efficiency of Queen + 9) = 15 Efficiency of Queen = 15-9 = 6 If the efficiency of Queen is ‘y’% less than that of Pankaj. 6 = (100-y)% of 8 6 = [(100-y) x 8]/100 3 = [(100-y) x 4]/100 300 = (400-4y) 4y = 400-300 4y = 100 y = 25 Required percentage = (z/y)x100 = (28/25)x100 = 28x4 = 112%
In 3 years, Rs. 6000 amounts to Rs. 7986 at certain rate of compound Interest, compounded annually. Find the rate %?
A sum of ₹33,100 was divided between Timir and Monali in such a way that if both invested their shares at 10% compound interest per annum, the amount ...
Divide Rs. 53,285 into two parts such that the amount received from first part after 12 years is equal to the amount received from second part after 8 y...
A sum of money amounts to ₹12,960 in 2 years at compound interest. If the rate of interest is 10% per annum, what is the principal amount?
The difference between simple and compound interest on a sum of Rs.1000 at the end of two years is Rs10. Find the total CI on a sum after 3 years is?
Avantika gets a SI of Rs.4800 on a certain principal at the rate of 6%p.a. in 4 years. What CI will she get on twice the principal in two years at the ...
Investing Rs. (4z + 400) at 20% p.a. compound interest for 3 years yields an interest of Rs. (5z - 800). Find the value of ‘z’.(Can calculate approx...
Rahul invested ₹4,000 in a scheme offering a compound interest rate of 16% per annum, compounded semi-annually. Calculate the t...
A principal amount is invested at an annual compound interest rate of y%. After 2 years, the investment grows to Rs. 7200, and after 4 years, it reaches...
If Rs. 5,000 is compounded at an annual interest rate of 8%, what will be the amount after 3 years?