Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively.Rajesh received 64 more than anuj
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Step-by-step explanation:
let the sym of money be x
ajun ' s interest ;
S.I = p×r×t /100
= x × 8 × 2 / 100
= 16x /100
rajesh's interest ;
A = p×(1+r/100)^2
= x × (1+8/100)^2
= x×(108/100)^2. ( i added it by taking out the lcm)
= x×(27/25)^2. i simplified it
= 729x/625
ci = 729x/625 - x
= 729 x - 625 x / 625
= 104x/625
acc. to the question
104x/625 - 16 x / 100 = 64
=> (104x × 4 ) - ( 16x × 25 ) / 2500= 64
=> 416x - 400x/2500=64
=> 16x /2500 = 64
=> x = 64 × 2500 / 16
=> x = 10,000
ans. Therefore the amount was 10,000
pls mark it as the brainiest question
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