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Ratio of income of two persons …

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Ratio of income of two persons is 9:7 and ratio of their expenditures is 4:3 .If each of them saves ₹200 per month find their monthly income.

Posted by Sujata Thipse 5 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Sunaada Acharya 5 years, 1 month ago

ANSWER Let the income of first-person be Rs 9x and the income of the second person be Rs. 7x. Further, let the expenditures of the first and second person be 4y and 3y respectively. Then, Saving of first-person =9x−4y Saving of second person =7x−3y ∴9x−4y=200⇒9x−4y−200=0 (i) and, 7x−3y−200⇒7x−3y−200=0 .(ii) Solving equation (i) and (ii) by cross-multiplication, we have (−4×−200)−(−3×−200) x = (−200×−9)−(−200×−7) −y = (9×−3)−(7×−4) 1 800−600 x = −1800+1400 −y = −27+28 1 ⇒x=200 and y=400 Thus, monthly income of first person =Rs. 9x= Rs. (9×200)= Rs. 1800 and, monthly income of second person =Rs. 7x=Rs. (7×200)=Rs. 1400

Gaurav Seth 5 years, 1 month ago

Let their salaries/income be 9x and 7x
let their expenditure be 4y and 3y

so,

ATQ
9x-4y=200—(1)
7x-3y=200—(2)

so,

from (1)
x=(200+4y)/9—(3)

put x in (2)
7[(200+4y)/9]-3y=200
(1400+28y)/9-3y=200
(1400+28y-27y)/9=200
y+1400=1800
y=400

now put y in (3)
x=(200+4×400)/9
x=(200+1600)/9
x=1800/9
x=200

so,
salary of first person=9×200=1800 rs
salary of second person=7×200=1400 rs

ANSWER

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