A men distributed two different amounts of ₹ 45,000 and ₹ 18,000 among his sons A, B & C. The first amount of ₹ 45,000 was distributed in the ratio 3 : 7 : 5, and the second amount ₹ 18,000 was distributed in the ratio 4 : 2 : 3. The difference between the shares of A and C is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. ₹ 4,000.
Given:
A men distributed two different amounts of ₹ 45,000 and ₹ 18,000 among his sons A, B & C.
The first amount of ₹ 45,000 was distributed in the ratio 3 : 7 : 5
Second amount ₹ 18,000 was distributed in the ratio 4 : 2 : 3
Calculations:
For the first amount:
Let the share of A, B and C be 3x, 7x and 5x
According to the question;
⇒ 3x + 7x + 5x = 45000
⇒ 15x = 45000
⇒ x = 3000
Share of A = 3x = 3 × 3000 = 9000
Share of B = 7x = 7 × 3000 = 21000
Share of C = 5x = 5 × 3000 = 15000
For the second amount:
Let the share of A, B and C be 4x, 2x and 3x
According to the question;
⇒ 4x + 2x + 3x = 18000
⇒ 9x = 18000
⇒ x = 2000
Share of A = 4x = 4 × 2000 = 8000
Share of B = 2x = 2 × 2000 = 4000
Share of C = 3x = 3 × 2000 = 6000
Total share of A = 9000 + 8000 = 17000
Total share of C = 15000 + 6000 = 21000
Required difference = 21000 - 17000 = ₹ 4000