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Mathematics

A sum of money is divided between A and B in the ratio 6 : 11. If B’s share is ₹ 7,315, find (i) A’s share (ii) the total amount of money.

Ratio Proportion

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Answer

(i) Let A's share be ₹ x.

Then,

⇒611=x7315⇒x=611×7315⇒x=₹3,990.\Rightarrow \dfrac{6}{11} = \dfrac{x}{7315} \\[1em] \Rightarrow x = \dfrac{6}{11} \times 7315 \\[1em] \Rightarrow x = ₹ 3,990.

Hence, A' share of money = ₹ 3,990.

(ii) Total sum of money = A's share + B's share

= ₹ 3,990 + ₹ 7,315

= ₹ 11,305.

Hence, total sum of money = ₹ 11,305.

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