Question

Mr. Sahai and his wife are both school teachers and earn Rs 16800 and Rs 10500 per month respectively. Find the ratio of

(i) Mr. Sahai's income to his wife's income;
(ii) Mrs. Sahai's income to her husband's income;
(iii) Mr. Sahai's income to the total income of the two.

Answer 1

Mr. Sahai's earning = Rs 16800
Mrs. Sahai's earning = Rs 10500
(i) Ratio = 16800:10500 = 168:105 = `(168 ​÷ 21)/(105 ​ ​÷ 21)=8/5`   (H.C.F. of 168 and 105 is 21.)

Mr. Sahai's income:Mrs Sahai's income = 8:5

(ii) Ratio = 10500:16800 = 105:168 = `(105 ​÷ 21)/(168 ​ ​÷ 21)=5/8`   (H.C.F. of 168 and 105 is 21.)

Mrs. Sahai's income:Mr Sahai's income = 5:8

(iii) Total income = 16800 + 10500 = Rs 27300
Ratio = 16800:27300 = 168:273 =` 168/273=(168 ​÷ 21)/(273 ​÷ 21)=8/13`  (H.C.F. of 168 and 273 is 21.)

Mrs. Sahai's income:Total income = 8:13