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Rupees 18210 is invested in three schemes. A, B and C for 5 years, 8 years and 4 years respectively. If these three schemes give a

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Rupees 18210 is invested in three schemes. A, B and C for 5 years, 8 years and 4 years respectively. If these three schemes give a simple interest of 12%, 10% and 12.5% respectively. After completion of each scheme a person gets6 amount in the ratio 3:7:4 from these schemes. Then find the sum of money invested in scheme C?​

A. Rs. 4320
B. Rs. 5760
C. Rs. 5880
D. Rs. 5120​

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2 thoughts on “Rupees 18210 is invested in three schemes. A, B and C for 5 years, 8 years and 4 years respectively. If these three schemes give a”

  1. Given : Rupees 18210 is invested in three schemes. A, B and C for 5 years, 8 years and 4 years respectively. If these three schemes give a simple interest of 12%, 10% and 12.5% respectively. After completion of each scheme a person gets amount in the ratio 3:7:4 from these schemes.

    To Find : the sum of money invested in scheme C?​

    Solution:

    Amount invested in B = 100B

    Amount invested in C = 100C

    Amount invested in A = 18210 – 100B – 100C

    Amount received in A = (18210 – 100B – 100C) + (5* 12/100)( 18210 – 100B – 100C)

    = (18210 – 100B – 100C) (1.6)

    = (29,136 – 160B – 160C)

    Amount received in B = 100B + ( 8 * 10/100)100B

    = 180B

    Amount received in C = 100C + ( 4 * 12.5/100)100C

    = 150C

    (29,136 – 160B – 160C) : 180B : 150C = 3 : 7 : 4

    29,136 – 160B – 160C = 3K

    180B = 7k

    150C = 4k

    => 180B/150C = 7/4

    => 6B/5C = 7/4

    => 24B = 35C

    3k + 4k = 7k

    29,136 – 160B – 160C + 150C = 180B

    => 29,136 = 340B + 10C

    => 29,136 = 340(35C/24) + 10C

    => 29,136 * 24 = 12,140C

    => C = 57.6

    => 100C = 5760

    the sum of money invested in scheme C = 5760 Rs

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  2. Given :– Rupees 18210 is invested in three schemes. A, B and C for 5 years, 8 years and 4 years respectively. If these three schemes give a simple interest of 12%, 10% and 12.5% respectively. After completion of each scheme a person gets amount in the ratio 3:7:4 from these schemes. Then find the sum of money invested in scheme C ?

    A. Rs. 4320

    B. Rs. 5760

    C. Rs. 5880

    D. Rs. 5120

    Answer :–

    → A + B + C = 18210 ———- Eqn.(1)

    Let Rs.A invested in scheme A , Rs. B in B and Rs.C in C .

    so, amount ratio :-

    → [A + (A*12*5/100)] : [B + (B*10*8/100)] : [C + (C*12.5*4/100)] : 3 : 7 : 4

    → [A + (3A/5)] : [B + (4B/5)] : [C + (C/2)] = 3 : 7 : 4

    → (8A/5) : (9B/5) : (3C/2) = 3 : 7 : 4

    Let,

    • (8A/5) = 3k
    • (9B/5) = 7k
    • (3C/2) = 4k

    then, we get,

    → A = (15k/8)

    → B = (35k/9)

    → C = (8k/3)

    putting,

    → (15k/8) + (35k/9) + (8k/3) = 18210

    → (135k + 280k + 192k ) / 72 = 18210

    → 607k = 18210 * 72

    → k = (18210 * 72)/607

    → k = 2160

    therefore,

    → C = (8k/3) = (8 * 2160)/3 = Rs.5760 (Ans.)

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