Question

The Ratio of expenditure of X, Y, and Z are 16:12:9 respectively and their savings are 20%, 25% and 40% of their income is ₹3060, Find Y's Salary​

Answer 1

Answer:

Refer to attachment

Hope it helps~~~~~~~~!

Answer 2

Concept:

Income – Savings = Expenditure

If we receive a payment, we first allocate the money to savings and then spend whatever is left over after saving.

Given:

Y's Salary​

To find:

Income = ₹3060

Ratio of expenditure of X, Y, and Z = 16:12:9

Savings=  20%, 25% and 40% of their income

Solution:

Income= Savings + Expenditure

$20 {\%} = \frac{1}{5} \\ 25\% = \frac{1}{4}\\ 40 \% = \frac{2}{5}$

Let the income of X,Y,X be x,y,z

Savings will be $\frac{x}{5}, \frac{y}{4}, \frac{2z}{5y}$

Expenditure = Income- savings

X$= x-\frac{x}{5}= \frac{4x}{5}$

Y$=y-\frac{y}{4}=\frac{3y}{4}$

z$=z-\frac{2z}{5}= \frac{3z}{5}$

According to the question:

$\frac{4x}{5} : \frac{3y}{4} : \frac{3z}{5} = 16: 12: 9$

$X:Y:Z = 20:16:15$

Then,

Y's salary/ income = $\frac{16}{51} * 3060= 960$

Y's salary is ₹ 960.

 

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