a sum of money amount to 52080 in 2 years and to 77280 in 7 years at simple interest . find the sum and percentage of interest
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Answer:
Given :
Principle + Interest for 7 years = ₹ 77280
Principle + Interest for 2 years = ₹ 52080
Find the Interest for 5 years :-
Interest for 5 years = ₹ (77280 - 52080) = ₹ 25200
Find the Interest for 2 years :-
Interest for 1 years = ₹ (25200/5) = ₹ 5040
Interest for 2 years = ₹ (5040 × 2) = ₹ 10080
Find the principle :-
Principle = 52080 - Interest for 2 years
= ₹ (52080 - 10080 )
= ₹ 42000
Find the rate percent :-
Rate = (100 × Interest for 2 years)/(principal × time) %
= (100 × 10080)/(42000 × 2) %
= 1008000/84000 %
= 12 %
Hence,
Principle = ₹ 42000
Rate percent = 12 %
Step-by-step explanation:
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