For the following questions answer them individually
The lengths of the sides of a right-angled triangle are in the ratio 5: 12: 13 and its perimeter is 90 cm. What is the area (in $$cm^{2}$$) of the triangle?
There is 70% increase in an amount in 7 years at simple interest. What will be the compound interest on ₹8,000 after 3 years at the same rate of interest?
The income of A is 70% more than the income of B, and the income of C is 80%, of the combined income of A and B. By what percentage is the income of A less than that of C ? (Correct to one decimal place)
The prices of two woolen jackets A and B are in the ratio 7 : 9. If jacket A costs ₹380 less than jacket B, then find the price of jacket B.
If three numbers are in the ratio of 3 : 5 : 7 and their LCM is 2415. what is the difference between the second number and the first number?
A wire encloses an area of 18634 $$cm^2$$. when it is bent in the form of a circle. The same wire is now bent to form a rectangle whose sides are in die ratio 5 : 6. The length (in cm) of the shorter side of the rectangle is (Take $$\pi = \frac{22}{7}$$):
If the average of the following six observations: $$x$$ + 2,$$x$$ + 5,$$x$$ + 8,$$x$$ + 11,$$x$$ + 14 and $$x$$ + 17 is 12.5. What is the average of the first three observatioas?
By selling 18 oranges for t 151.20, a man loses 20% How many oranges should he sell for ₹8192 to earn a profit of
30%?
A car covers the first 41 km of its journey in 45 min and covers the remaining 23 km in 35 min. What is the average speed (in m/sec) of the car?
Somu bas borrowed ₹10.000 from a money lender with simple interest at a rate of 7% per 6 months. How much amount will he pay to the money lender after 3 years?