A certain sum of money has been Divided into two parts in the ratio 9:13. If the second part is, ₹260,find the total amount. pls answer me
Answers
Answer:
Rs440
Step-by-step explanation:
Let the total amount =Rsx
The amount has been divide into two parts in the ratio 9:13
Sum of the terms of the ratio =9+13=22
First part =
22
9
of total amount
Second part =
22
13
of total amount
According to given statement
22
13
of x=Rs 260
⇒
22
13
×x=Rs 260
⇒x=Rs
13
260×22
⇒x=Rs20×22
∴x=Rs 440
Given
↠ Money divided in the ratio of 9 : 13
↠ Second part is ₹260
To find
➻ Total amount..
Solution
As certain sum of money is divided in the ratio of 9 : 13.
Let the money of two parts be 9x and 13x respectively.
According to Question :
➔ 13x = ₹260
➔ x = 260/13
➔ x = ₹20
Finding money of the first part :
➻ First part = 9x
➻ First part = (9 × 20)
➻ First part = ₹180
Now finding total amount :
➻ Total amount = First part + Second part
➻ Total amount = 180 + 260
➻ Total amount = ₹440
∴ Total amount of the share = ₹440