Question

Sujata spends 23% of his monthly income on her children's education and donates 2% of it to an organisation. If he spends ₹2500 in one month on these two heads, then find his monthly income?
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Answer 1

Answer:

Let the cost of chair be x and cost of table be y.

⇒ As per the question,

⇒ x+

100

25x

+y+

100

10y

=1520

⇒ 125x+110y=152000

⇒ 25x+22y=30400 ------ ( 1 )

⇒ And also from the question, we get

⇒ x+

100

10x

+y+

100

25y

=1535

⇒ 110x+125y=153500

⇒ 22y+25y=30700 ------ ( 2 )

⇒ Now, Multiply equation ( 1 ) with 22 and equation ( 2 ) with 25 we get,

⇒ 550x+484y=668800 ----- ( 3 )

⇒ 550x+625y=767500 ------ ( 4 )

⇒ Now, subtracting equation ( 2 ) by ( 1 ) we get,

⇒ y=700

⇒ Substituting value of y in equation ( 1 ) we get,

⇒ x=600

∴ Cost price of chair is Rs.600 and cost price of table is Rs.700.