Question

The incomes of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio 8 : 5 : 2. If C spends 2000 rupees and B saves 700 rupees, then A saves <br />a) 1500 rupees<br />b) 1000 rupees<br />c) 500 rupees<br />d) 250 rupees​

Answer 1

Answer:

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Let the expenses of A, B and C be rupees 8x, rupees 5x and rupees 2x respectively. Given, 2x = 2000

=> x = 1000 rupees

=> B's expenses = 5 × 1000 = 5000 rupees

A's expenses = 8000 rupees

Given, B's savings = 700 rupees

=> B's income = 5000 rupees + 700 rupees = 5700 rupees.

Given, A's income : B's income = 5 : 3

=> A's income/5700 = 5/3

=> A's income = 5/3

=> A's income = 5/3 × 5700 = 9500 rupees.

A's savings = 9500 – 8000 = 1500.

Therefore A's savings is 1500 rupees.

Answer 2

Answer:

Let the expenses of A, B and C be rupees 8x, rupees 5x and rupees 2x respectively. Given, 2x = 2000

=> x = 1000 rupees

=> B's expenses = 5 × 1000 = 5000 rupees

A's expenses = 8000 rupees

Given, B's savings = 700 rupees

=> B's income = 5000 rupees + 700 rupees = 5700 rupees.

Given, A's income : B's income = 5 : 3

=> A's income/5700 = 5/3

=> A's income = 5/3

=> A's income = 5/3 × 5700 = 9500 rupees.

A's savings = 9500 – 8000 = 1500.

Therefore A's savings is 1500 rupees.