Question
Two buildings are 40 meters apart. The height of one
building is 20 meters. From the top of the shorter building, the angle of elevation of the top of the taller building is 45°, and the angle of depression of its base is 30°. Find the height of the taller building.Solution
Let the height of the taller building be H meters. The height difference between the two buildings is (H - 20) meters. From the angle of elevation: tan 45° = (H - 20) / 40  1 = (H - 20) / 40  H - 20 = 40  H = 60 m. Answer: c) 60 m
A invests Rs 6000 in a business for the whole year. B joins him later with an investment of Rs 8000. At the end of the year, the profit is divided betwe...
The difference between the compound interest compounded annually and simple interest of a sum at 18% p.a. for 2 years is Rs. 324. Find the sum.
The ratio of the sums invested by ‘P’ and ‘Q’ in SIP ‘A’ and ‘B’ is 9:6, respectively. If ‘P’ invested Rs. 5400 more than ‘Q’, t...
The interest received on investing Rs. (5p + 150) on simple interest at 15% p.a. for 2 years is Rs. (2p + 240). Find the ratio (p - 90):(p + 60)
A sum of Rs.6,000 is to be paid back in two equal annual instalments; each instalment is to be paid at the end of every year. How much is each instalme...
Rs. 7,000 is invested in scheme ‘A’ offering simple interest of 12% p.a. and Rs. 8,000 in scheme ‘B’ offering simple interest of 6% p.a. What is...
Ajay invested Rs.24,000 in Fund 'P' for a duration of 4 years, where it earns simple interest at a rate of 22.5% per annum. The amount obtained from Fun...
Find the amount on Rs.7500 at 8% per annum for 3 years.
- What will be the total amount earned after 3 years on an investment of Rs. 45,000 at 10% per annum simple interest?
Neil buys a Camera priced at 32000. He pays 8000 at once and the rest after 15 months on which he is charges a simple Interest at the rate of 18% per an...
Relevant for Exams:
