the sum of money get doubled in 5 years at X% simple interest . if the interest was Y% . the sum of money would have become ten-fold in thirty year . what is Y - X (in % )
Answers
Answer:
Step-by-step explanation:
P - principal amount, N= No.of.years, R - rate of interest..
doubles in 5 years.
S.I = PNR/100
P= PR(5) /100
R = 100 / 5 = 20%
Rate of interest = 20%
4 times means
3 P= PNR /100
3 = RN /100
3= 20N /100
N=3*5 = 15 years.
It will become 4 times in 15 years.
The value of Y-X is 10%
Step-by-step explanation:
Given:
At X% simple interest rate, the sum of money get doubled in 5 years.
If the interest rate was Y% , the sum of money would have become 10 fold in thirty year .
Formula Used:
SI= ( P .K.T)/100 ---------------------- formula no.01.
Here, P = Principal , K= Rate , T= Time , SI = Simple Interest
A= P+SI ------------------- formula no.02.
Here , A =Amount
Solution:
The sum of money get doubled in 5 years at X% simple interest rate.
The sum of money A =2P , Time T=5 years , Rate K= X%
As per formula no.2.
A=P+SI
2 P=P+SI
SI=P = ( P. K.T)/100
P = (P. X.5)/100
1= X/20
X=20%
If the interest rate was Y% , the sum of money would have become 10 fold in thirty year
The sum of money A =10 P , Time T=30 years , Rate K= Y%
As per formula no.2.
A=P+SI
10 P=P+SI
SI=9 P = ( P. Y.30)/100
9 P = (P. Y.30)/100
9= 3 Y/10
Y=30%
Therefore, Y-X = (30-20)%= 10%
Thus, The value of Y-X =10%