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Bunuel
If p pencils cost d dollars, how many pencils can be bought for c cents?

(A) 100pc/d

(B) pc/(100d)

(C) pd/c

(D) pc/d

(E) cd/p

Imo B lets assume vales P=4, D=8 and c= 200 then answer will be 1
and only option B will provide us that answer.
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Step 1: Convert d dollars to cents: d*100/d = 100d.
Step 2: Find the price per pencil using the converted amount = p / 100d.
Step 3: Now we have the price per pencil expressed in cents.
Step 4: How many pencils can be bought for c cents? p/100 d * c.
Answer choice B.
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It is given p pencils cost d dollar which means cost of p pencils is $d

1 Dollar = 100 cents
d Dollar = 100d cents
Therefore with 100d cents we can buy p cencils . (100d cents = p (pencils))
Now 1 cents = p/100d
and for c cents equation becomes = (p/100d) * c or pc/100d , which is option B
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Bunuel
If p pencils cost d dollars, how many pencils can be bought for c cents?

(A) 100pc/d
(B) pc/(100d)
(C) pd/c
(D) pc/d
(E) cd/p

c cents = c/100 dollars
p•cost per pencil=d dollars… cost per pencil in dollars=d/p
amount in dollars / cost per pencil in dollars = c/100/d/p = cp/100d

Answer (B)
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Bunuel
If p pencils cost d dollars, how many pencils can be bought for c cents?

(A) 100pc/d

(B) pc/(100d)

(C) pd/c

(D) pc/d

(E) cd/p

The cost of a pencil is d/p dollars, so for c cents, which is c/100 dollars, (c/100)/(d/p) = c/100 x p/d = pc/(100d) pencils can be bought.

Answer: B
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Hello from the GMAT Club BumpBot!

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