After three successive equal percentage rise in the salary the sum of 100 rupees turned into 140 rupees and 49 paise. find the percentage rise in the salary.
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Solution :-
This question can be solved by the compound interest formula.
⇒ A = P(1 + R/100)^N
⇒ 140.49 = 100 (1 + R/100)^3
⇒ 140.49/100 = (1 + R/100)^3
⇒ 1.4049 = (1 + R/100)^3
⇒ 1 + R/100 = ∛1.4049
⇒ 1 + R/100 = 1.11999
⇒ R/100 = 1.11999 - 1
⇒ R/100 = 0.11999
⇒ R = 100*0.11999
⇒ R = 11.999 % or 12 % (Approximately)
So, the rise in salary is 12 %.
Answer.
This question can be solved by the compound interest formula.
⇒ A = P(1 + R/100)^N
⇒ 140.49 = 100 (1 + R/100)^3
⇒ 140.49/100 = (1 + R/100)^3
⇒ 1.4049 = (1 + R/100)^3
⇒ 1 + R/100 = ∛1.4049
⇒ 1 + R/100 = 1.11999
⇒ R/100 = 1.11999 - 1
⇒ R/100 = 0.11999
⇒ R = 100*0.11999
⇒ R = 11.999 % or 12 % (Approximately)
So, the rise in salary is 12 %.
Answer.
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