Question

a certain amount of money has been divided into two parts in the ratio of 5:8. if the first part is Rs 250. Find the total amount.​

Answer 1

Step-by-step explanation:

Solution :

Let x be the amount 

Original amount to be divide 

between P and Q 

=83x(P) and 85x(Q)

But the amount actually 

divided was 

=52x(P) and 53x(Q)

Hence, loss of Q=85x−53x

Accordinf to Ques,

85x−53x=10

⇒4025x−24x=10 (Taking LCM)

⇒40x=10

⇒x=Rs.400 

Answer 2

Answer:

$let \: money \: be \: x \\ first \: will \: gain = 5x \\ second \: will \: gain = 8x \\ first \: part = 250 \\ 5x = 250 \\ x = \frac{250}{5} \\ x = 50 \\ second \: will \: gain = 8 \times 50 = 400 \\ total \: amount = 400 + 250 = 650$

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