Question

The Ratio blw the Saving of A, B & C is 9:8:7
and their expenditure are 70%, 75% and 80%
of their Income if total Income of A B & C together is 97000. what is the income of B​

Answer 1

GIVEN:

• Ratio between savings of A, B and C is 9:8:7
• Expenditure of their income are 70%, 75% and 80%.
• Total income of A, B and C is 97,000 Rs.

TO FIND:

• Income of B

SOLUTION:

Let,

• Income of A = a
• Income of B = b
• Income of C = c

Total Income => $\sf\mapsto{a + b + c = 97000-------(i)}$

A, B and C spends 70%, 75% and 80% of their income. The ratio of their saving is 9 : 8 : 7

it means,

$\sf\mapsto{0.7 \times a = 9 d-------(ii)}$

$\sf\mapsto{0.75 \times a = 8 d-------(iii)}$

$\sf\mapsto{0.8 \times a = 7 d-------(iv}$

Solving (i),(ii),(iii) and (iv)

$\sf\mapsto{\dfrac{9d}{0.7} + \dfrac{8d}{0.75} + \dfrac{7d}{0.8}=97000}$

$\sf\mapsto{d(12.85 + 10.66 + 8.75)=97000}$

$\sf\mapsto{d(32.26)=97000}$

$\sf\mapsto{d=\dfrac{97000}{32.26}=3006.81}$

Now, from(iii)

$\sf\mapsto{b=\dfrac{8d}{0.75} = \dfrac{8 \times 3006.81}{0.75}=32072.64}$

Rounding of the decimal upto greatest integer.

Income of B = b = 32073 Rs. (Roughly)