The ratio of the prices of first two fans was 16 : 23. Two years later, when the price of the first fan had risen by 10% and that of the second by ₹ 477, the ratio of their prices became 11 : 20. Find the original prices of the two fans.
Ratio Proportion
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Question

The ratio of the prices of first two fans was 16 : 23. Two years later, when the price of the first fan had risen by 10% and that of the second by ₹ 477, the ratio of their prices became 11 : 20. Find the original prices of the two fans.

Ratio Proportion

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KnowledgeBoat · Accepted Answer

Let price of first fan be f₁ and second fan be f₂. Given, Ratio of the prices of first two fans was 16 : 23. First fan price after 2 years = . Second fan price after two years = . Given, Ratio of fan's prices becomes 11 : 20 after 2 years. Substituting value of f₁ from (1) in above equation we get : Substituting value of f₂ in equation (1), we get : Hence, original price of fans are ₹ 848 and ₹ 1219.

Mathematics

The ratio of the prices of first two fans was 16 : 23. Two years later, when the price of the first fan had risen by 10% and that of the second by ₹ 477, the ratio of their prices became 11 : 20. Find the original prices of the two fans.

Ratio Proportion

Related Questions

Find the compounded ratio of :
(i) (a - b) : (a + b) and (b² + ab) : (a² - ab)
(ii) (x + y) : (x - y), (x² + y²) : (x + y)² and (x² - y²)² : (x⁴ - y⁴)
(iii) (x² - 25) : (x² + 3x - 10); (x² - 4) : (x² + 3x + 2) and (x + 1) : (x² + 2x).

Mathematics

The ratio of the prices of first two fans was 16 : 23. Two years later, when the price of the first fan had risen by 10% and that of the second by ₹ 477, the ratio of their prices became 11 : 20. Find the original prices of the two fans.

Ratio Proportion

Related Questions

Find the compounded ratio of :(i) (a - b) : (a + b) and (b2 + ab) : (a2 - ab)(ii) (x + y) : (x - y), (x2 + y2) : (x + y)2 and (x2 - y2)2 : (x4 - y4)(iii) (x2 - 25) : (x2 + 3x - 10); (x2 - 4) : (x2 + 3x + 2) and (x + 1) : (x2 + 2x).

Find the compounded ratio of :
(i) (a - b) : (a + b) and (b² + ab) : (a² - ab)
(ii) (x + y) : (x - y), (x² + y²) : (x + y)² and (x² - y²)² : (x⁴ - y⁴)
(iii) (x² - 25) : (x² + 3x - 10); (x² - 4) : (x² + 3x + 2) and (x + 1) : (x² + 2x).