Question
A man standing in a point C of a ground. He observes a
flying an aero-plane in the east at an angle of elevation of 30° and after 30 seconds, he observes the same aero-plane in the west at an angle of elevation of 60°. If the aero-plane flies all along in a straight line at a height of 480√3 m, then its speed in km/h is:Solution
From the following figure, AB = ED = 480√3 AE = BD In Δ ABC, tan 30 = AB/BC 1/√3 = 480 √3/BC BC = 480 × 3 = 1440 In Δ EDC, tan 60 = ED/DC √3 = 480 √3/DC
The difference between compound interest and simple interest at rate of 24% per annum for 2 years is Rs. 288. Find the simple interest obtained on same ...
Rs. 1800 earns a simple interest of Rs. 4050 when invested at 15% per annum for (x + 3) years. What will be the total amount received if the same amount...
A sum of Rs 10,000 is invested at r% per annum. The simple interest for 2 years is Rs 1,600. Find
(a) the rate of interest, and
(b) the co...
Rahul deposited an amount ‘Q’ in a plan A and earned Rs. 300 as interest after one year. He then added Rs. 600 to the amount and re-invested the ent...
'V' invested Rs. 15,000 in Provident Fund 'P,' which provides 20% compound interest for two years, compounded annually. He subsequently invested the amo...
A sum of Rs. 25600 is divided between 'Meera' and 'Nisha' in the ratio 9:7. If 'Nisha' invests her share in a scheme offering com...
A certain sum becomes 3.5 times itself in 10 years at simple interest. Find the rate of interest.
A man purchases some number of apples at the rate of 36 apple for Rs. 1. How many for a rupee did he sell to gain 12.5%.
Ravi shared Rs. (x + 3600) between his two kids, Arjun and Bharat, in the ratio of 5:3. Arjun put his share in a simple interest scheme at 10% p.a. for ...
B invested Rs. 8000 in a compound interest scheme for 2 years at an annual interest rate of x%. If he received Rs. 3520 as interest, find the rate of in...