Question

4. 5% of A's income is equal to 15% of B's income and 10% of B's income is equal
to 20% of C's income. If income of C is Rs. 2000, then what is the total income of
A, B and C? (in Rs.)
(A) 18000 (B) 20000 (C) 15000 (D) Data inadequate​

Answer 1

Answer:-

Given:-

Income of C = Rs. 2000

10% of B's income = 20% of C's income

Let the income of B be Rs. B.

So,

⟹ (10/100)(B) = (20/100) 2000

⟹ B = (20 * 2000 * 100) / (100 × 10)

⟹ B = Rs. 4000

Also given that;

5% of A's income = 15% of B's income.

Let the income of A be Rs. A.

⟹ (5/100) × A = (15/100) * 4000

⟹ A = (15 × 4000 × 100) / (100 × 5)

⟹ A = Rs. 12,000

Now,

Total Income of A,B & C = A + B + C's income.

⟹ Total income = 12,000 + 4000 + 2000 = Rs. 18,000.

∴ The total income of A, B and C is Rs. 18,000 (Option - A).

Answer 2

Given :-

5% of A's income is equal to 15% of B's income and 10% of B's income is equal  to 20% of C's income. If income of C is Rs. 2000,

Need to find :-

Total income

Solution :-

Let income of

A = Rs. A

B = Rs. B

C = Rs. C

Now

B = (10/100)(B) = (20/100) 2000

Now

B = (20 × 2000 × 100)/(100 × 100)

B = (40,00,000)/(10000)

B = Rs. 4000

Now

5%  of A = 15% of B

(5/100) × A = (15/100) × 4000

1/20 × A = 3/20 × 4000

1/20 × A = 3/200

A = 1/20 × 200/3

A = 1 × 20 × 600

A = 12000

Now

Income (A,B,C) =  12,000 + 4000 + 2000 = Rs. 18,000.