5
Exercise 6.2
The angles of a triangle are in the ratio of 2 : 3:4. Find the measure of each angle.
2. A two-digit number of which tens digit exceeds unit digit by 5. The number itself is 8 times the sum of
its digits. Find the number.
3.
Two buses start from the same point at the same time but in opposite directions. Their speeds are
50 km/hr and 60 km/hr respectively. After how long they will be 440 km apart?
4. The sum of digits of a two-digit number is 9. If the digits are reversed, the new number will be 9 more
than the original number. Find the original number.
5. Shyam invested * 15, 000 in a mutual fund. Part of the amount he invested at the rate of 15% and rest
at the rate of 20% simple interest. At the end of first year of investment he earns * 2500 as interest.
How much did Shyam invest at each rate?
6. The length of a rectangle is 4 cm more than its breadth. If the length is increased by 4 cm and breadth
is decreased by 2 cm, the area remains the same as that of original rectangle. Find the length and
breadth of the rectangle.
7. In a cinema hall, 500 tickets were sold. The total sale was 12,000. The tickets were of denomination
of 15 and 30. How many of each denomination were sold?
8. A steamer goes downstream from one port to another in 12 hours. The steamer covers the same distanc
upstream
in 15 hours. If the speed of the stream is 2 km/hr, find the speed of the steamer in still water
Also find the distance between ports.
9. The distance between two places x and y is 500 km. Two buses start from the points x and y at the
same time but in opposite direction on parallel roads. After running of 5 hrs it is found that the
distance between the buses is 50 km. Find the speed of each bus, if one bus moves 10km/hr faster th:
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