Question

The daily income of two persons are in the ratio of 47. If each receives an increment of $10 in the daily
income, the ratio is altered to 3.5. Find their respective daily salaries​

Answer 1

Answer:

Solution:

Option(D) is correct

Let the salaries be 4x and 7x

Therefore,

4x+257x+255(4x+25)20x+125x=35=3(7x+25)=21x+75=50

Therefore, their salaries are 4×50 and 7×50 i.e., 200 and 350

Answer 2

Two persons respective daily salaries are 80$ and 140$.

Step-by-step explanation:

Given:

Two persons daily income of  are in the ratio of 4:7.

Each  person receives an increment of $10 in the daily income, the ratio is altered to 3:5.

To Find:

Two persons respective daily salaries .

Formula Used :

The ratio of these two quantities  is defined as;

p: q =p/q

where p and q  are  two quantities.

Solution:

Let daily salary of  first  person is 4z  and  second person is 7z.

As given - Two persons daily income of  are in the ratio of 4:7..

       Daily income ratio   4z : 7z

As  given- Each  person receives an increment of $10 in the daily income. the ratio is altered to 3:5.

$4z+10:7z+10=3:5$

$\frac{4z+10}{7z+10} = \frac{3}{5}$

$(4z + 10)\times5=(7z+10)\times 3$

$20z+50 = 21z+30$

$21z-20z=50-30$

$z=20$          

Daily salary of first  person  4z      $=4\times20$

                                                       $= 80$

Daily salary of second  person  7z    $= 7\times 20$  

                                                            $=140$

Thus, Two persons respective daily salaries are 80$ and 140$.

Correct Question:

The daily income of two persons are in the ratio of 4:7. If each receives an increment of $10 in the daily income, the ratio is altered to 3.5. Find their respective daily salaries.