Question

Q3. The monthly incomes of A and B are in the ratio 8: 7 and their expenditures are in the ratio 19:16. If

each saves Rs 2500 per month, find the monthly income of the both.

A আৰু B ৰ মাহেকীয়া আয়ৰ অনুপাত ৪:7 আৰু খবচৰ অনুপাত 19:16 । যদি প্রতিজনে প্রতিমাহে 2500 টকাকে সঞ্চয় কৰে,

তেনেহলে A আৰু B ৰ মাহেকীয়া আয় কিমান ?

A और B का मासिक आय का अनुपात 8:7 है और ख़र्च का अनुपात 19:16 है यदि प्रत्येक व्यक्ति मासिक 2500रू जमा

करता है तो A और B का मासिक आय कितना होगा ?​

Answer 1

Answer:

the monthly income of the both is 12000rs and 10,500rs respectively

Step-by-step explanation:

let the common multiple be x,y here ,

income of A = 8x

income of B = 7x

expenditure of A = 19y

expenditure of B = 16y

saving of A = 2500RS

saving of B = 2500RS

saving = income - expenditure

saving of a = saving of b

8x-19y = 7x-16y

8x-7x = -16y + 19y

x = 3y

saving of A = 2500RS

8x-19y = 2500

8 . 3y - 19y = 2500

24y - 19y = 2500

5 y =2500

y = 2500 / 5

therefore, y = 500

substituting the value of y in ( x = 3y )

x = 3 . 500

x = 1500

income of A = 8x

= 8 . 1500

= 12000rs

income of B = 7x

= 7 . 1500

= 10,500rs

expenditure of A = 19y

= 19 . 500

= 9500rs

expenditure of B = 16y

= 16 . 500

= 8000rs