*The difference between simple interest and compound interest at the rate of 10% for two years on an amount is Rs. 20. Find the principal value?*
1️⃣ ₹.100
2️⃣ ₹ 200
3️⃣ ₹. 20000
4️⃣ ₹ 2000
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₹200
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simple interest= p×r×t/100= p×10×2/100= 20p/100
compound interest= p(1+r/100)²
= p(1+10/100)²
=p(11/10)²
=121p/100
C.I= A-P
= 121p/100 - p
=( 121p-100p)/100
= 21p/100
According to question
C.I-S.I= 20
21p/100-20p/100= 20
p/100= 20
p= 20×100= 2000
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