Mr. thomas invested an amount of rs. 13,900 divided in two different schemes a and b at the simple interest rate of 14% p.a. and 11% p.a. respectively. if the total amount of simple interest earned in 2 years be rs. 3508, what was the amount invested in scheme b? calculate simple intrest
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13900×11×2/2×100
=1529
13900×11×2/2×100 = 1529, 1529×100/11×2 = 6950
=1529
13900×11×2/2×100 = 1529, 1529×100/11×2 = 6950
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Step-by-step explanation:
Given : Invested Amount Rs 13900 divided in 2 different schemes A and B at SI 14% pa and 11% pa
Total amount of SI earned in 2years = 3058
To Find : Amount invested in Scheme B
Solution:
Let say Amount invested in Scheme B = 100P
Amount invested in Scheme A = 13900 - 100P
= 100(139 - P)
SI = P x R x T /100
invested in Scheme A =100(139 - P)
R = 14%
T = 2
SI = 100(139 - P) * 14 * 2 /100
= (139 - P)28
= 3892 - 28P
invested in Scheme B =100P
R = 11%
T = 2
SI = 100P * 11 * 2 /100
=22P
3892 - 28P + 22P = 3508
=> 3892 - 6P = 3508
=> 6P = 384
=> P = 64
=> 100P = 6400
Amount invested in Scheme B = Rs 6400
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