Question

Monthly incomes of A and B are in the ratio 9:11 and those of B and C are in the ratio 13:10. If monthly income of C is Rs.1430, then find the incomes of A and B.

Answer 1

Answer:

A : Rs.819, B : Rs.1001

Step-by-step explanation:

$A:B=9:11=9*13:11*13=117:143$

$B:C=13:10=13*11:10*11=143:110$

∴$A:B:C=117:143:110$

$A:B:C=117x:143x:110x$

C has income of $110x$, which is Rs.1430.

$110x=1430$

∴$x=13$

B and C has income of $117x$ and $143x$.

$117x=117*7=819$

$143x=143*7=1001$

∴ A : Rs.819, B : Rs.1001

Answer 2

Answer:

A : Rs.819, B : Rs.1001

Step-by-step explanation:

A:B=9:11=9*13:11*13=117:143A:B=9:11=9∗13:11∗13=117:143

B:C=13:10=13*11:10*11=143:110B:C=13:10=13∗11:10∗11=143:110

∴A:B:C=117:143:110A:B:C=117:143:110

A:B:C=117x:143x:110xA:B:C=117x:143x:110x

C has income of 110x110x , which is Rs.1430.

110x=1430110x=1430

∴x=13x=13

B and C has income of 117x117x and 143x143x .

117x=117*13=1521

143x=143*13=1859

∴ A : Rs.1521, B : Rs.1859