Question

The ratio of Mr. Anil's monthly income to expenditure is 5 : 4,. For Mr. Aman the same figure is 3 : 2. Also, 4% of Aman's monthly income is equal to 7% of Anil's monthly income. If Anil's monthly expenditure is 96,000 rupees
(i) Find Aman's annual income.
(ii) Savings made by Mr. Anil and Mr. Aman.​

Answer 1

$\huge\underline\frak{\fbox{AnSwEr :-}}$

We know that savings = Income - Expenditure

Anil's income to expenditrue 5 : 4

Suppose Anil's income is 5x.

Anil's expenditure is 4x

Aman's income to expenditrue 3 : 2

Suppose Aman's income is 3y.

Aman's expenditure is 2y

Anil's monthly income is 9600 rupees,

$\leadsto$ 5x = 9600

$\leadsto$ x = 1920

Monthly expenditure = 4x = 4 x 1920 = 7680 rupees.

Anil's monthly expenditure is 7680 rupees.

$\leadsto$ Anil's saving is 1920 rupees.

4% of Aman's income = 7% of Anil's income

$\leadsto$ 4/100 x 3y = 9600 x 7/100

$\leadsto$ 12y = 9600 x 7

$\leadsto$ y = 9600 x 7/12 = 5600

Aman's income = 3y = 3 x 5600 = 16,800 rupees

Aman's expenditue = 2y = 2 x 5600 = 11,200 rupees

$\leadsto$ Aman's savings = 16,800 - 11,200 = 5,600 rupees

Aman's monthly income is Rs. 16,800 and Aman's saving is Rs. 5,600

Anil's monthly saving is 1,920 rupees.