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  1. The compound interest on a certain sum of money at a certain rate per annum for two years is ₹ 2,050, and the simple interest on the same amount of money at the same rate for 3 years is ₹ 3,000. Then the sum of money is
    1. ₹ 20,000
    2. ₹ 18,000
    3. ₹ 21,000
    4. ₹ 25, 000
Correct Option: A

Given in question , S.I. for 3 years = ₹ 3000

S.I. for 2 years =
3000
× 2 = ₹ 2000
3

∴ Difference = C.I. – S.I. = 2050 – 2000 = ₹ 50
S.I. =
PR × 3
100

⇒ 3000 =
PR × 3
100

⇒ PR =
3000 × 100
= ₹ 100000
3

∴  Difference =
P × R2
10000

⇒  50 =
P × (100000)2
10000 × P2

⇒  P =
1000000
= ₹ 20000
50



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