Question

If A’s income is 30% less than B’s income and B’s income is 137.5% more than C. If the differencebetween B’s income and A’s income is 11400, then find the income of C​

Answer 1

Answer:-

Let the income of A be Rs. A ; B be Rs. B & C be Rs. C.

Given:-

Income of B is 137.5% more than C's income.

⟹ B = C × (100 + 137.5)/100

⟹ B = C × (2375/1000)

⟹ B = Rs. 19C/8 -- equation (1).

And;

Income of A is 30% less than B's income.

⟹ A = B * (100 - 30)/100

⟹ A = B * (70/100)

Substitute B value from equation (1).

⟹ A = (19C/8) * (7/10)

⟹ A = Rs. 133C/80 -- equation (2)

It is also given that,

Difference between B's income and A's income is Rs. 11,400.

⟹ B - A = 11400

Substitute the values of A & B from equations (1) & (2).

⟹ 19C/8 - 133C/80 = 11400

⟹ (190C - 133C)/80 = 11400

⟹ 57C = 11400 × 80

⟹ C = 11400 × 80/57

⟹ C = Rs. 16,000

∴ The income of C is Rs. 16,000.

Answer 2

Answer:

$\sf\tt\large{\green {\underline {\underline{⚘\;Question:}}}}$

• If A's income is 30% less than B's income is 137.5% more than C.If the difference between B's income and A's income is 11400,then find income of C.

$\sf\tt\large{\red {\underline {\underline{⚘\;Answer:}}}}$

$\sf\tt\large{\blue {\underline {\underline{⚘\;The \;income \;of \;C \; is \;Rs.16000:}}}}$

$\sf\tt\large{\green {\underline {\underline{⚘\;Solution:}}}}$

$\sf\tt\large{\red {\underline {\underline{⚘\;According \;to \;the \;given \;Question \;lets \;verify \;the \;given \;Question:}}}}$

$\sf\tt\large{\blue {\underline {\underline{⚘\;Case (i):}}}}$

• Income of A is 30%less than B's income.
• we can write it as ,

$A = B( \frac{100 - 30}{100} )$

• $A = B( \frac{70}{100} )$

• Here we dont know the B value So, lets find B value in equation.

$\sf\tt\large{\red {\underline {\underline{⚘\;Case (ii):}}}}$

• Income of B is 137.5% more than C's income.

• we can write it as,

$B = C( \frac{100 + 137.5}{100} )$

• $B = C \times ( \frac{2375}{1000} )$
• B=Rs.19C/80 ------(ii)

$\sf\tt\large{\red {\underline {\underline{⚘\;Case (iii):}}}}$

• And difference between A's income and B's income is 11400.
• B-A=11400.

Now ,

• Lets apply the given B value in equation one we get the that,

• $A = ( \frac{19c}{8} ) \times ( \frac{7}{10} )$

• $A = \frac{Rs.133C}{80} - - - - - (i)$

Now,

• Substitute the value of B and A from equations we get that,
• $\frac{19c}{8} - \frac{133c}{80} = 11400$
• 57C=11400×80
• C=11400×80/57=Rs.16000.