What principal will amount to 9856 in two years if rate of interest for successive years are 10% and12% respectively? Don't spam or I will report you.
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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
Answered by
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Here is your answer:
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
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