Question

Mrs. Deewan and his mother in low are both school teachers and earn Rs.16800 and Rs.
10500 per month respectively. Find the ratio of
A. Mrs. Deewan’s income to his mother –in-low’s income.
B. Mother’s income to her daughter’s-in-low income.
C. Mrs. Deewan’s income to the total income of the two.

Answer 1

Answer:

A. The ratio of Mrs. Deewan’s income to her mother –in-law’s income is $8:5$.

  B. The ratio of Mother’s income to her daughter’s-in-law income is $5:8$.

  C. The ratio of Mrs. Deewan’s income to the total income of the two is $7:13$.

Step-by-step explanation:

Given : Mrs. Deewan and her mother in law are both school teachers.

           Monthly income of Mrs. Deewan = Rs. $16800$

           Monthly income of her mother in law = Rs. $10500$

To find : Find the ratio of

            A. Mrs. Deewan’s income to her mother –in-law’s income.

            B. Mother’s income to her daughter’s-in-law income.

            C. Mrs. Deewan’s income to the total income of the two.

Solution :

A. The ratio of Mrs. Deewan’s income to her mother –in-law’s income

                 = $\frac{16800}{10500}$

                 = $\frac{56}{35}$   (∵ Dividing by $300$)

                  = $\frac{8}{5}$    (∵ Dividing by $7$)

                  = $8:5$

B. The ratio of Mother’s income to her daughter’s-in-law income.

                  =  $\frac{10500}{16800}$

                 = $\frac{35}{56}$   (∵ Dividing by $300$)

                  = $\frac{5}{8}$    (∵ Dividing by $7$)

                  = $5:8$

C. The ratio of Mrs. Deewan’s income to the total income of the two.

     Total income of Mrs. Deewan and his mother in law

                = $16800+10500$

                = Rs. $27300$

    Now, the ratio of Mrs. Deewan’s income to the total income of the two

                 = $\frac{16800}{27300}$

                 =  $\frac{56}{91}$   (∵ Dividing by $300$)

                  = $\frac{7}{13}$    (∵ Dividing by $7$)

                  = $7:13$

∴ A. The ratio of Mrs. Deewan’s income to her mother –in-law’s income is $8:5$.

  B. The ratio of Mother’s income to her daughter’s-in-law income is $5:8$.

  C. The ratio of Mrs. Deewan’s income to the total income of the two is $7:13$.