Question

solve Q 7 ....................

Answer 1

Answer:

Rs 3080 in Rs 140 shares

Rs 5378 in Rs 112 shares

Step-by-step explanation:

Define x:

Let the number of 17% share invested be x

The number of 9% share invested be y

Form equations:

140x + 112y = 8456             ------------------ Equation {1}

0.17(140x) - 0.09(112y) = 56 ------------------ Equation {2}

Equation (2):

0.17(140x) - 0.09(112y) = 56

23.8x - 10.08y = 56  ------------------ Equation {2a}

Equation {1) x 10.08:

1411.2x + 1128.96y = 85236.48 ------------------ Equation {1a}

Equation (2a) x 112:

2665.6x - 1128.96y = 6272  ------------------ Equation {2b}

Equation {1a) + (2b):

4076.8x = 91508.48

x = 22.44 ≈ 22  ------------------ Substitute into equation (1}

Equation (1):

140x + 112y = 8456

140(22) + 112y = 8456

3080 + 112y = 8456

112y = 5376

y = 48

Find the investment:

Rs 140 shares invested = 140x = 140 (22) = Rs 3080

Rs 112 shares invested = 112x = 112(48) = 5376

Answer: Rs 3080 in Rs 140 shares and Rs 5378 in Rs 112 shares