Ratios & Proportion
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Q.

Rs 4830 is divided among Abhishek, Dishant and Prashant such that if Abhishek's share diminishes by Rs 5, Dishant's share diminishes by Rs 10 and Prashant's share diminishes by Rs 15, their shares will be in the ratio $5:4:3$. Find the Dishant's original share

 A.

1610

 B.

2010

 C.

2410

 D.

1590

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Solution:
Option(A) is correct

Let actual share of Abhishek, Dishant and Prashant be $A$, $D$ , $P$ respectively.

$A+D+P=4830$

Hence, $A$'s, $D$'s and $P$'s share are diminished by Rs 5, Rs 10 and Rs 15, their net share will be Rs.4800.

Dishant's diminished share = \(\dfrac{4}{12}\times 4800=\text{Rs }1600\)

Hence, Dishant actual share =Rs $1600$+Rs $10$= Rs 1610.


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