Question

The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
1. ₹1000
2. ₹1500
3. ₹500
4. ₹250

Answer 1

Correct Answer - Option 2 : ₹1500

Given

Income of A and B are in ratio = 5 : 3

expenses of A, B and C are in the ratio of 8 : 5 : 2

C spends 2000 and B saves ₹ 700

Concept used 

Ratio method 

Calculation

Let the income of A and B be Rs.5x and Rs.3x respectively.

Let the expenses of A, B and C be Rs.8y, Rs.5y and Rs.2y

⇒ 2y = 2000

⇒ y = 1000

⇒ B saves = Rs.700

⇒ 3x –5y = 700

⇒ 3x –5×1000 = 700

⇒ 3x = 700 + 5000

⇒ x = 5700/3 = 1900

⇒ A’s saving = (5x–8y)

⇒ (5×1900 – 8×1000) = (9500 – 8000)

⇒ Rs.1500

∴ A saves Rs.1500