Question

What principal will amount to 9,856 in two
years, if the rates of interest for successive
years are 10% and 12% respectively ?​

Answer 1

Answer:

Rs . 8000

Step-by-step explanation:

Let the Principal was P

for first year, R = 10%

Interest = PTR/100 = P×1×10/100 = 0.1P

Amount at the end of 1st year = P + 0.1P = 1.1P

For 2nd year,

Principal = 1.1P

R = 12%

Interest = PTR/100 = 1.1P×1×12/100 = 0.132P

Amount at the end of 2nd year = 1.1P + 0.132P = 1.232P

It is given that amount is 9856

⇒1.232P = 9856

⇒ P = 9856/1.232 

⇒ P = Rs. 8000

Principal was Rs. 8000

hope it helps you. ........