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Answers
Answer:
Amount she started with is exactly Rs 15.
Amount she spend is exactly Rs 10.2
Step-by-step explanation:
Let
x = Number of 1 rupee notes
y = Number of 20 peise coin.
Given
Amount she originally started with = Rs 15(Not Exact)
Amount left after shopping = 15/3 = Rs 5(Not Exact)
Equations
She started with Rs 15, so
1.x + 0.2y = 15(Not Exact) .............(1)
After shopping, she is left with as many one rupee note as she originally had and as many 20 peise coin as she had one rupee note. Hence
1.x + 0.2x = 5(Not Exact) .............(2)
Calculation
Equation (2) gives
1.2x = 5
⇒ x = 5/1.2 = 50/12 = 25/6(Not Exact)
Since x is an integer and is not exactly equal to 25/6, we take the nearest integral value of 25/6.
⇒ x = 24/6 = 4
Therefore, amount she is left with
= 1x + 0.2x
= 1.2x
= 1.2*4
= Rs 4.8
Substituting value of x in (1) we get
4 + 0.2y = 15
⇒ 0.2y = 15-4 = 11
⇒ y = 11/0.2 = 110/2
⇒ y = 55
Since no approximation is done to find an integral solution of y, Amount she started with is exactly Rs 15
Amount she spend is 15 - 4.8i.e Rs 10.2
Answer:
IT WILL BE 10.2
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