Question

Mr Sahai and his wife are both school teachers and earn ? 16800 and 10500 per mone
respectively. Find the ratio of
(1) Mr Sahai's income to his wife's income:
(11) Mrs Sahai's income to her husband's income;
(111) Mr Sahai's income to the total income of the two,​

Answer 1

Given

• Mr. Sahai's income ⇒ Rs. 16800
• Mrs. Sahai's income ⇒ Rs. 10500

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To Find

• Mr Sahai's income to his wife's income
• Mrs Sahai's income to her husband's income
• Mr Sahai's income to the total income of the two

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Solution

(i) The ratio of Mr Sahai's income to his wife's income would be ⇒

⇒ 16800 : 10500

⇒ 168 : 105

⇒ 8 : 5

∴ The ratio of Mr Sahai's income to his wife's income is 8 : 5

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(ii) The ratio of Mrs Sahai's income to her husband's income would be ⇒

⇒ 10500 : 16800

⇒ 105 : 168

⇒ 5 : 8

∴ The ratio of Mrs Sahai's income to her husband's income is 5 : 8

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(iii) The total income of Mr and Mrs Sahai ⇒ 16800 + 10500 = 27300

Mr Sahai's income to the total income of the two would be ⇒

⇒ 16800 : 27300

⇒ 168 : 273

⇒ 8 : 13

∴ The ratio of Mr Sahai's income to the total income of the two is 8 : 13

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Answer 2

(a) Mr Sahai income = ₹ 16, 800

Mrs Sahai's income = ₹ 10,500

$\sf \:ratio \: :-Mr \: Sahai \: income \ratio Mrs \: Sahai's \: income$

$\sf 16 , 800 \ratio 10 , 5000$

$\sf \cancel{100} \bigg(168 \bigg) \ratio \cancel{100} \bigg(150 \bigg)$

$\sf 168 \ratio 105$

$\sf \cancel{21} \times 8 \ratio \cancel{21} \times 5$

$\sf \: 8 \ratio 5$

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(b) ratio : - Mrs Sahai's income : Mrs Sahai income

$\sf 10, 500 \ratio 16, 800 \\ \\ \\ \\ \\ \sf \cancel{100} \bigg(500 \bigg)\ratio \cancel{100} \bigg(168 \bigg) \\ \\ \\ \\ \\ \sf 105 \ratio 168 \\ \\ \\ \\ \\ \sf \cancel{21} \times 5 \ratio \cancel{21} \times 8 \\ \\ \\ \\ \\ \sf \: 5 \ratio 8$

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(c) Mr Sahai income : Total income of two

Total income = 16,800 + 10500
= ₹ 27,300

$\sf 16800 \ratio 27300 \\ \\ \\ \\ \\ \sf \cancel{100} \bigg(168 \bigg) \ratio \cancel{100} \bigg(273 \bigg) \\ \\ \\ \\ \\ \sf \: 168 \ratio 273 \\ \\ \\ \\ \\ \sf \cancel{21} \times 8 \ratio \cancel{21} \times 13 \\ \\ \\ \\ \\ \sf 8 \ratio 13$