Deloitte Simple and Compound Interest Questions and Answers Quiz-1

P = 8000
Sum after CI = 9261
R = 5% PER ANNUM

9261 = 8000( 1+5/100)^n
=>8000(1+5/100)^n=9261
=>(21/20)^n= 9261/8000
=>(21/20)^ n =( 21/20)^3
So, n= 3

Re 1 gets doubled in 4 yeard i.e becoms Rs 2

In next 4 years it gets doubled and becomes Rs 4

In next 4 years it gets doubled and becomes Rs 8

Hence 4+4+4 = 12 years amount will become 8 times

6 1/4% = 1/16

x *15/16 * 15/16 * 15/16 = 21093

x = 25600.24

1525-1300= 225 for 1.5 yrs (3.5-2)
so for one yr 225/1.5= 150
then for 2 yrs interest is 150+150=300
Then principal 1300-300=1000.
Now 150/1000*100= 15%

It appears like the question is taking about the ratio of the final amounts after adding the interest to the principal. Assuming this is the case.

Let Principal = P, Rate = R% per annum
P  (1+R/100)² / P (1+ R/100) = 6/5

Rate of interest = 20%

Let the principal be Rs x.
Then the SI =4/25x
Rate of interest = Time
r= (100*4/25x)/ x*r
r2 =400/25
r=20/5=4%

CI = Principal (1 + r/100)^t - Principal

Its calculated half yearly so rate will get half and time will get doubled

= 20000 (1 + 2/100)^4 - 20000

= 20000 (51/50)^4 - 20000

= 20000 * 51/50 * 51/50 * 51/50 * 51/50 - 20000

= 21648.64 - 20000

= 1648.64

 

First we need to find out ROI for 1 year.
We can do this by using Simple Interest formula, SI = PRN/100
Since SI on ₹7000 for 1 year
= 8000 - 7000 = ₹1000

Therefore, 1000 = (7000×R×1)/100
or R = 100/7 %

Since, the sum is the Principal amount.
& the interest is compounded yearly on the Principal for a period of 3 years, then the amount is ₹8000.

Therefore, 8000 = P × {1 + (100/7)/100}^3
or 8000 = P × (8/7)^3
or P = ₹5359.375

Hence the sum is ₹5359.375

 

Shyam's share * (1+0.05)^9 = Ram's share * (1 + 0.05)^11

=>Shyam's share / Ram's share = [(1 + 0.05)^11]/ [(1+ 0.05)^9] = (1+ 0.05)^2 = 441/400

Therefore, Shyam's share = (441/841) * 5887 = 3087

Let the amount Vijay invested at the rate of 10% = Rs x

then the amount invested at 15% = Rs (50,000 - x)

Time = 1yr

Income from 10% rate = 10% of x = x/10

Income from 15% rate = 15% of (50,000 - x) = (150,000 - 3x)/20

Acc to ques, [x/10] + [(150,000 - 3x)/20] = 7000

or, 150000 - x = 140000

or, x = 10,000.

Therefore, he has invested Rs 10,000 at 10% and Rs 40,000 at 15%.