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# The price of a cycle is reduced by 25 per cent. The new price is reduc

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
The price of a cycle is reduced by 25 per cent. The new price is reduc  [#permalink]

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13 May 2016, 04:02
00:00

Difficulty:

5% (low)

Question Stats:

90% (00:47) correct 10% (00:39) wrong based on 68 sessions

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The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

A. 45%
B. 40%
C. 35%
D. 32.5%
E. 30%

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Joined: 31 Mar 2016
Posts: 383
Location: India
Concentration: Operations, Finance
GMAT 1: 670 Q48 V34
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WE: Operations (Commercial Banking)
Re: The price of a cycle is reduced by 25 per cent. The new price is reduc  [#permalink]

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13 May 2016, 05:37
Price = p
initially price reduced by 25% which means new price is 3/4P
Now on this new price further 20percent is reduced which means the new price is merely 80percent of 3/4P
==> (3/4)x(4/5)P = 12/20P is the new price after both deduction which is 60percent of the original value P. This implies this entire series of deduction is worth having discounted 40% of P. So answer is B = 40%
VP
Joined: 05 Mar 2015
Posts: 1001
Re: The price of a cycle is reduced by 25 per cent. The new price is reduc  [#permalink]

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13 May 2016, 06:43
1
Bunuel wrote:
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

A. 45%
B. 40%
C. 35%
D. 32.5%
E. 30%

Let price be Rs 100
then 1st reduction will give discounted price as Rs 75
again 2nd reduction will yield 75(1-20/100)
=Rs 60 (final price)
so reduction from initial Rs 100 to final Rs 60 =40
Ans B.
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Re: The price of a cycle is reduced by 25 per cent. The new price is reduc  [#permalink]

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07 Sep 2018, 06:29
Bunuel wrote:
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

A. 45%
B. 40%
C. 35%
D. 32.5%
E. 30%

$$-25 - 20 + \frac{(-25)(-20)}{100}$$

= $$-45 + 5$$

= $$-40$$, Answer must be (B)
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Re: The price of a cycle is reduced by 25 per cent. The new price is reduc   [#permalink] 07 Sep 2018, 06:29
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