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  1. A certain sum of money amounts to Rs. 2200 at 5% p.a. rate of interest, Rs. 2320 at 8% interest in the same period of time. The period of time is :
    1. 3 years
    2. 4 years
    3. 5 years
    4. 2 years
Correct Option: D

Let Principal = Rs. P and time = T years
Rate = 5%

∴ SI =
Principal × Time × Rate
100

According to the question,
∴ P +
PT × 5
= 2200
100

&rArr4; P +
PT
= 2200...........(i)
100

Again,
PT × 8
-
PT × 5
= 2320 – 2200
100100

3PT
= 120
100

⇒ PT =
120 × 100
= 4000............(ii)
3

∴ From equation (i),
P +
4000
= 2200
20

⇒ P = 2200 – 200 = Rs. 2000
∴ From equation (ii),
PT = 4000
⇒ T =
4000
= 2 Year
2000

Second method to solve this question :
Difference in rates = 8 – 5 = 3%
∵ 3% = 2320 – 2200 = 120
∴ 5% ≡
120
× 5 = 200
3

∴ Principal = Rs. (2200 – 200) = Rs. 2000
∴ Time =
200 × 100
= 2 Years
2000 × 5



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