Question
The following questions each present two quantities,
Quantity I and Quantity II. Compare the values of the two quantities and determine their relationship. Quantity I: P deposits ₹6500 at compound interest for 3 years at an annual rate of r%. After 3 years, the total amount he receives is ₹8651.5. Determine the value of r. Quantity II : R borrows ₹70,000 from a bank at 10% simple interest per year. At the same time, he lends this entire amount to his friend Q at a simple interest rate of (r + 5)% per year. After 3 years, his total gain is ₹10,000. Determine the value of r.Solution
ATQ, Quantity I: Principal = Rs.6500 Rate of interest = r% According to the question, 6500 × (1+ r/100)³ = 8651.5 (1 + r/100)³ = 8651.5/6500 (100 + r)³ = 1.331 × (100)³ r = 10% Quantity II: Principal = Rs.70,000 Interest paid by 'R' to bank = (70000×10×3)/100 = Rs.21000 Still he got Rs.10000 as a profit That means the interest paid by Q is 21000 + 10,000 = Rs.31000 31000/70000 = 44.28% For 1year, interest rate = 44.28/3 = 14.76% r = 14.76 - 5 = 9.76%
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 7776Ï€ cm3 inside it. Â
If A’s income is 60% more of B’s income and B’s income is 40% less than C’s income, then by what percent is C’s income mor...
What is the difference between (in m2) the area of a circular field of radius 21 metres and area of a rectangular piece of land having its di...
In a rectangular floor of length and breadth of 20 metres and 4 metres, respectively, square tiles each of 2 metre edge length are to be laid. If the co...
On a rectangular wall of length 24 metres and height 19 metres, there is a window in the shape of triangle surmounted on a square. If the base of triang...
Perimeter of a square shaped plot is 60 metres and the area of a rectangular plot is 36% more than that of the square shaped plot. Find the area (in m
The volume of a solid cube is 2744 m3. If whole cube is to be painted at a rate of Rs. 11 per m2, then what will be the cost of pa...
A race track is in the shape of a rectangle with length of 70 metres and area of 4900 m2. A car takes 5 seconds to make one lap around the pe...
- The volume of a sphere is 3888 cm³. Calculate the surface area (in cm²) of the sphere. [Use π = 3]
In a division the quotient is 12, the divisor is 15 and the remainder is 7. What is the dividend?
