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 per cent per annum, ∴ CI = P [ ( 1 + R/100 )ᵀ - 1] ⇒ 6,120 = 75,000 [ ( 1 + R/400)2 - 1 ] [T= 6 months = 2 times because interest is calculated quarterly] ⇒ 6,120/75,000 = ( 1 + R/400)2 - 1 ⇒ ( 1 + R/400)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 × R × T)/100 =(75000 × 16×18)/(100 ×12) = 18,000
Three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which is the letter-cluster pair that does NOT belong...
A, B, C, D, E, F and G are sitting around a circular table facing the centre (but not necessarily in the same order).
G sits to the immediate lef...
Select the option that is related to the third figure in the same way as the second figure is related to the first figure.
MW 13 is related to NQ 11 in a certain way. In the same way, KE 19 is related to LY 17. To which of the following is GD 17 related, following the same l...
Pointing to a woman in the photograph a man said, “She is the daughter of my paternal grandmother’s only son.” How is the woman related to the man...
Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
statement:
Residents of this region are frequently faced with incidents of sudden power surges and voltage surges which cause damage to sensitive...
Who likes history?
WISK’ is related to ‘DRHP’ in a certain way based on the English alphabetical order. In the same way, ‘LENT’ is related to ‘OVMG’. To whic...
In a row of boys, if Akhil who is 13th from the left, and Firoz who is 6th from the right end interchange their positions, Akhil becomes 23rd from the l...
Relevant for Exams:
