Question

The total annual income of A, B and C is Rs.1596000. A saves 20% of his income, while B and C saves 12.5% and 10% of their incomes respectively. If their annual savings are in the ratio 16 : 17 : 12, then the annual savings, in Rupees, of B exceeds that of C by Select one: a. 7600 b. 19000 c. 4750 d. 23750

Answer 1

Answer:

Rs 23750

Step-by-step explanation:

Ratio of their saving = 16 : 17 : 12

Find the ratio of their income:

Ratio of their income = 16 ÷ 0.2 : 17 ÷ 0.125 : 12 : 0.1

Ratio of their income = 80: 136 : 120

Find their income:

80x + 136x + 120x = 1596000

336x =  1596000

x = 4750

Find B’s and C’s income:

B = 136(4750) = 646,000

C = 120(4750) = 570,000

Find B’s and C’s saving:

B = 12.5% of 646,000 = 0.125 x 646,000 = 80750

C = 120(4750) =10% of 570,000 = 0.1 x 570,000 = 57000

Find the difference:

Difference = 80750 - 57000 = Rs 23,750

Answer: (d) Rs 23750

Answer 2

Answer : $\bold{Rs \:23750}$


$\bold{Explanation :}$

Ratio of Savings = 16 : 17 : 12

let the Ratio = 16x : 17x : 12x

Given : "A" saves 20% of income

20% = 16x

100% = 100 x 16/20 = 80x

Given : "B" saves 12.5% income

12.5% = 17x

100% = 100 x 17/12.5 = 136x

Given : "C" saves 10% income

10% = 12x

100 % = 100 x 12/10 = 120x

Solve "x" =

Given : Total income = Rs 15,96,000

80x + 136x + 120x = 15,96,000

336x = 15,96,000

x = 15,96,000/336

x = 4750.

Finding savings of "B" and "C" -

"B" = 17x = 17(4750) = 80,750

"C" = 12x = 12(4750) = 57000

Finding the Difference of income between B and C -

80,750 - 57000 = Rs 23,750.


Hence :

$\bold{Required \: Answer \: is \: Rs \: 23,750}$