Question

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​

Answer 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. 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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