Question

The monthly salaries of two persons are in the ratio of 4:7. If each receives an
increase of Rs.25 in the salary, the ratio is altered to 3:5. Find their respective
salaries.​

Answer 1

Answer:

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Answer 2

$\sf{\bold{\purple{\star{\underline{\underline{Given}}}}}}$

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• Ratio of monthly salary = 4 :7
• Ratio of salary after the increment of Rs. 25 = 3 : 5

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$\sf{\bold{\purple{\star{\underline{\underline{To\: Find }}}}}}$

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• Respective salaries = ??

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$\sf{\bold{\purple{\star{\underline{\underline{Solution}}}}}}$

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• let the salaries be 4x and 7x

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According to the question :-

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$\sf : \implies\:{\frak{ \dfrac{4x + 25}{7x + 25} = \dfrac{3}{5} }}$

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$\sf : \implies\:{\frak{ 5 ( 4x + 25) = 3 ( 7x + 25)}}$

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$\sf : \implies\:{\frak{ 20x + 125 = 21x + 75}}$

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$\sf : \implies\:{\frak{ 21x - 20x = 125- 75 }}$

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$\sf : \implies\:{\frak{ x = 50}}$

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$\sf{\star{\boxed{\blue{\frak{ x = 50 }}}}}$

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• Finding the salaries

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4x = 4 × 50 = $\sf{{\boxed{\pink{\frak{ Rs. 100 }}}}}$

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7x = 7 × 50 = $\sf{{\boxed{\pink{\frak{ Rs. 350 }}}}}$