Question

a certain sum was invested at 20% pa for two years after the interview was compounded half-yearly for the first year and compound yearly for the next year. if the total intrest earned on the sum was 10,170rs then the sum in rupee was

Answer 1

Answer:

Correct option is

B

3000

Let P be the principle, R=20%, T=18 months=1.5 years,

for Ashok (compounded yearly)

⇒Amount =p(1+100R)T

⇒A1=P(1+10020)1.5=1.32P

for Geeta (compounded half-yearly)

⇒A2=P(1+200R)2T=P(1+20020)2×1.5

⇒A2=1.331P

Given A1−A2=33⟹(1.331−1.32)P=33

⟹P=3000

Step-by-step explanation:

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Answer 2

The sum is Rs. 24805

First year:

A = P(1 + R/100) T

= P(1+ 0.1) 2

A = 1.21P

I = A- P

I = 1.21 P - P

I = 0.21P

Second year:

SI = PTR/100

= P X 1 X 20/100

= 0.2P

Total Interest:

0.21P + 0.2P = 10170

0.41P = 10170

P = Rs. 24805

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