Question

Ruben goes to a shop to buy 24.5 m of cloth and 13.5 m ribbon. The cloth costs rs85.40
per metre and the ribbon cots rs 8.5 per metre. If he pays rs2300 to the shopkeeper. how
much money will he get back?​

Answer 1

Answer: Let the piece of cloth is x metre and it costs Rs.y/metre. Then by the given conditions -

∴, xy=200 -------------(1) and

(x+5)(y-2)=200

or, xy+5y-2x-10=200

or, 200+5y-2x-10=200

or, 5y-2x-10=0

or, 5y=2x+10

or, y=(2x+10)/5

Putting in (1),

x(2x+10)/5=200

or, x(2x+10)=200×5

or, 2x²+10x=1000

or, x²+5x-500=0

or, x²+25x-20x-500=0

or, x(x+25)-20(x+25)=0

or, (x+25)(x-20)=0

either, x+25=0

or, x=-25

or, x-20=0

or, x=20

Since the length of the cloth can not be negative,

∴, x=20 metre

Putting in (1),

20y=200

or, y=10

∴, the cloth is 20 m long and the original rate is Rs. 10/metre. Ans

Answer 2

ANSWER :

92.95 rupees

Step-by-step explanation:

price of cloth = 24.5 × 85.40 = 2092.30 rs

price of ribbon = 13.5 × 8.5 = 114.75 rs

Ruben pays to shopkeeper = 2300 rs

he will get back,

= 2092.30+114.75=2207.05 rs

So, = 2300 - 2207.05 = 92.95. rs

Hope this helps you out.

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