Question
A shopkeeper keeps 100 marbles in two boxes, A and B, such that Box A contains only red and Box B contains only green marbles. Barring an equal number of marbles from each box, he sold all the others and earned Rs. 25 and Rs. 15 from Box A and Box B respectively. Later, he sold half of the remaining marbles. His total earning from all the transactions accumulated to Rs. 45. What is the cost of each marble - red or green.?
Answer: Option D
:
D
Let the number of red and green marbles be a and b respectively.
Let the selling price of each marble be Rs.e.
Let the equal number of marbles not sold the first time = c.
Then, e(a - c) = 25 ... (i)
e(b - c) = 15 ... (ii)
The number of marbles that remained that remained with the shopkeeper = 2c
e(a - c) + e(b - c) + ec = 45
ec = 5 ...(iii) (from (i) and (ii))
Also, (100 - c)e - 45
⇒100e - 5 = 45 (from (iii)
100e = 50
⇒e = 0.5 = 50 Paise.
Hence, [d].
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:
D
Let the number of red and green marbles be a and b respectively.
Let the selling price of each marble be Rs.e.
Let the equal number of marbles not sold the first time = c.
Then, e(a - c) = 25 ... (i)
e(b - c) = 15 ... (ii)
The number of marbles that remained that remained with the shopkeeper = 2c
e(a - c) + e(b - c) + ec = 45
ec = 5 ...(iii) (from (i) and (ii))
Also, (100 - c)e - 45
⇒100e - 5 = 45 (from (iii)
100e = 50
⇒e = 0.5 = 50 Paise.
Hence, [d].
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