Question

4. The annual income of A, B and C taken together is Rs. 79,800. They spend 80%, 87% and 90%
respectively of their incomes. If their annual savings are as 16:17: 12, find the annual saving of
each​

Answer 1

Answer:

Savings ratio = 12 : 17: 16

Their savings are 12x, 17x and 16x respectively.

It is given that A spends 90 %, B spends 87 1/2% and C spends 80 % of his income.

So, their savings are,

A's savings = 100 - 90

A's savings = 10 %

B's savings = 100 - 175/2

B's savings = 25/2 %

C's savings = 100 - 80

C's savings = 20 %

A's savings = 12x

⇒ 10% of A's salary = 12x

⇒ 25/100 × A's salary = 12x

⇒ A's salary = (100/10)*12x

⇒ A's salsry = 120x

B's savings = 17x

⇒ 25/2% of B's salary = 17x

⇒ 12.5/100 × B's salary = 17x

⇒ B's salary = (100/12.5)*17x

⇒ B's salary = 136x

C's savings = 16x

⇒ 20 % of C's salary = 16x

⇒ 20/100 × C's salary = 16x

⇒ C's salary = (100/20)*16x

⇒ C's salary = 80x

Total salary of A, B and C = Rs. 1800

So,

⇒ 120x + 136x + 80x = 7.9 L

⇒ 336x = 7.9 L

⇒ x = 2351

Salary of A = 120*2351

A's salary = Rs. 282120

B's salary = 136*2351

B's salary = Rs. 319736

C's salary = 80*2351

C's salary = Rs. 188080

Now, savings of A, B and C

A's savings = 10 % of 282120

= (282120*10)/100

A's savings = Rs. 28212

B's savings = 12.5 % of 319736

= (319736*12.5)/100

B's savings = Rs. 39967

C's savings = 20 % of 188080

= (188080*20)/100

c's savings = Rs. 37616

WhatsApp_icon

fb_icon