Question

A,B,C together earn Rs 1450 and spend 60% , 65%, 70% of their salaries respectively. If the savings are 14:21:15 . The salary of b is
750
500
350
600
None​

Answer 1

Option d: 600 is the salary of b

Explanation:

It is given that A,B,C together earn Rs 1450 and spend 60% , 65%, 70% of their salaries respectively.

Let the salary of A be A.

Let the salary of B be B.

Let the salary of C be C.

Since, A,B,C together earn Rs 1450, we have,

$A+B+C=1450$

Also, given that the savings are $14: 21: 15$

The savings by A = $14x$

The savings by B = $21x$

The savings by C = $15x$

Let the money spent by A is given by

$\begin{aligned}A &=a+14 x \\A &=0.60 A+14 x \\0.4 A &=14 x\\A&=\frac{14x}{0.4} \end{aligned}$

Let the money spent by B is given by $B=\frac{21x}{0.35}$

Let the money spent by C is given by $C=\frac{15x}{ 0.3}$

Thus, substituting the values of A, B and C in $A+B+C=1450$, we get,

$\frac{14 x}{0.4}+\frac{21x}{0.35}+\frac{15 x}{0.3}=1450$

Simplifying, we get,

$\begin{aligned}35 x+60 x+50 x &=1450 \\145 x &=1450 \\x &=10\end{aligned}$

Thus, substituting the value of x in $B=\frac{21x}{0.35}$, we get,

$B=\frac{210}{0.35}\\B=600$

Thus, the salary of B is Rs. 600

Hence, Option d is the correct answer.

Learn more:

1. brainly.in/question/2341760