Question

A creatin sum of money has been divided into two parts in the ratio 5:8. If the first part is rupees 250, find the total amount.

Answer 1

Given :

Ratio of two parts = 5 : 8

Cost of first part = 250

To find :

Total amount

Solution :

Let the total amount be x

5 + 8 = 13

Here,

• First part = 5/13 × Total amount
• Second part = 8/13 × Total amount

$\bf \implies \dfrac{5}{13} \: of \: x = 250 \\ \\ \bf \implies \dfrac{5}{13} \: \times \: x = 250 \\ \\ \bf \implies5 \times x = 250 \times 13 \\ \\ \bf \implies5x = 250 \times 13 \\ \\ \implies \bf x = \dfrac{250 \times 13}{5} \\ \\ \implies \bf x = \dfrac{3250}{5} \\ \\ \implies \bf \boxed{ \bf x = 650}$

Thus, Total amount = 650 rupees.

Second part :

$\bf \implies \dfrac{8}{13} \times 650 \\ \\ \bf \implies8 \times 50 \\ \\ \bf \implies400$

Answer 2

Given:-

• Sum of money is divided into two parts in the ratio 5:8.
• First part is rupees 350.

To Find:-

• Total amount of money = ?

Solution:-

Let's understand

Here the question is, money is divided in two parts in the ratio 5:8 and here first part is given Rs.350. We have to find second part and total amount.

Step by step explanation

Let the total amount be x.

5 + 8 = 13

Here,

• First Part = 5/13 × total amount
• Second Part = 8/13 × total amount

$\sf \implies \: \frac{5}{13} \: of \: x = 250 \\ \\ \sf \implies \: \frac{5}{13} \times x = 250 \\ \\ \sf \implies \: 5 \times x = 250 \times 13 \\ \\ \sf \implies \: 5x = 250 \times 13 \\ \\ \sf \implies \: x = \frac{250 \times 13}{5} \\ \\ \sf \implies \: x = \frac{3250}{3} \\ \\ \sf \implies \: x = 650$

Hence, Total amount = 650 Rupees

Second Part = 8/13 × 650

= 8 × 50

= 400