Question

A sum of Rs. 7,700 is to be divided among three sisters Vidusha, Vimla and Vaishnavi in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 years, respectively remains equal. The share of Vidusha is more than that of Vaishnavi by: 
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Answer 1

Given:- A sum of Rs. 7,700 is to be divided among three sisters Vidusha, Vimla and Vaishnavi. The simple interest on each part at 5% per annum after 1, 2 and 3 years and remains equal.

To find:- The difference between amount of share of Vidusha and Vaishnavi.

Solution :-

Let the amount provided to Vidhusha, Vimla and Vaishnavi be x, y, and z rupees.

Now, according to question,

$\sf \to \: \: \frac{x + 5 \times 1}{100} = \frac{y + 5 \times 2}{100} = \frac{z + 5 \times 3}{100}$

$\sf \to \: \: \: \: x = 2y = 3z$

$\sf\to \: \: \: \: \: x \ratio \: y \ratio \: z = 6 \ratio 3\ratio2$

Hence, required amount would be:

$\sf \dfrac{6 - 2}{6 + 3 + 2} \times \: total \: amount$

$\sf \dfrac{6 - 2}{6 + 3 + 2} \times \: 7700$

$\sf\implies \: Rs.2800$

Therefore, The share of Vidusha is more than that of Vaishnavi by Rs.2800

Answer 2

Question= A sum of Rs.7700 is to be divided among three brothers Sunil, Sumant and Surat in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 yr respectively remains equal. The share of Sunil is more than that of Surat by:

A) Rs.2800

B) Rs.2500

C) Rs.3000

D) Rs.2700

Correct Answer:

A) Rs.2800

Description for Correct answer:

Let Sunil, Sumant and Surat get x, y and z amount respectively.

x+5×1100=y+5×2100=z+5×3100

=> x = 2y = 3z

=> x : Y : z = 6 : 3 : 2

Therefore, Required amount

= 6−26+3+2×7700

= Rs.2800