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  1. A sum of money was invested at a certain rate of simple interest for 2 years . Had it been invested at 1% higher rate, it would have fetched ₹24 more inter-est. The sum of money is :
    1. ₹1200
    2. ₹1050
    3. ₹1000
    4. ₹9600
Correct Option: A

Given that , SI = ₹ 24 , R = 1% , T = 2 years
Let Principal = P
We know that ,

SI =
P × R × T
100

P × 1 × 2
= 24
100

P =
2400
= ₹ 1200
2

Second method to solve this question :
P1 = P, R1 = R, T1 = 2.
P2 = P, R2 = R + 1, T2 = 2 , S.I.= Rs. 24
24 =
P(R + 1) 2 - PR2
100

2400 = 2PR + 2P – 2PR
P = ₹ 1200



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