Question
At what rate percent per annum will Rs. 75,000 yields a
compound interest of Rs. 6,120 in 6 months, if the interest is being compounded quarterly? Calculate the simple interest at the same rate of interest for 18 months.Solution
Let the rate of C.I be R percent per annum, CI = P [ ( 1 + `(R)/(100)` )áµ€ - 1] ⇒ 6,120 = 75,000 [ ( 1 + `(R)/(400)` )2 - 1 ] [T= 6 months = 2 because interest is calculated quarterly] ⇒ `(6120)/(75000)` = ( 1 +`(R)/(400)` ) 2 - 1 ⇒ ( 1 + ) 2 - 1 = `(51)/(625)` ` ` ⇒ ( 1 + `(R)/(400)` ) 2 = 1 + `(51)/(625)` ⇒ ( 1 + `(R)/(400)` )2 = `(676)/(625)` ⇒ ( 1 +`(R)/(400)` )2 = ( `(26)/(25)` )2 ⇒ 1+ `(R)/(400)` = `(26)/(25)` ⇒ `(R)/(400)` = `(26)/(25)` - 1 = `(1)/(25)` R = `(400)/(25)` = 16% Now, S.I = `(P xx R xx T)/(100)` = `(75000 xx 16 xx 18)/(100 xx 12)` = Rs. 18,000
Study of soil in relation to growth and development of plant is known as:
Match List I with List II :
Choose the correct answer...
Whiptail of cauliflower is due to
Which are of the following is an asymmetrical triazine?
What is the percentage of nitrogen in urea on weight basis?
Which of the following crop is used for flax and oil both?
What best describes a broiler?
The bulk density of sandy soil is about 1.6 g/cc. what is the approximate value of bulk density for organic matter
How much premium will be provided for each 0.1% increase in recovery rate over and above 10.25%?
The sowing of maize in kharif season in 2 ha and the sowing of mustard in Rabi season in one hectare, what is the intensity of crop?