You can now buy 5 more mangoes with 75

Question

You can now buy 5 more mangoes with $75 due to reduction is price by 20 percent. Calculate the current price of one dozen of mangoes ?

A. 24
B. 30
C. 36
D. 32
E. None of these

Emdad · Accepted Answer

Before we can buy x mangoes with tk 75, now (x+5)

If previous price is 100 then current price is 80
If previous price is 75 then current price  \frac{80×75}{100}=60

So, price of 5 is (75-60)=15
So, price of 12 is 3×12=36 
 Answer is C

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CrackverbalGMAT · Answer

Hello RayyanTanvir. Request you to please check if the OA is correct. If it is then is some information missing in the question thread?

Let the original price/mango = x.

Number of mangoes bought with tk 75  x  =  \frac{75}{x}

New price = 20% decrease = 0.8x

Number of mangoes bought with tk 75 @ 0.8x =  \frac{75}{0.8x} = \frac{93.75}{x}

Because of this decrease, we could buy 5 more mangoes, i.e  \frac{93.75}{x} - \frac{75}{x} = 5

18.75 = 5x

x = 3.75 which is the price of 1 mango before the decrease

Therefore the current price = 0.8x = 0.8 * 3.75 = 3

Price of a dozen mangoes = 3 * 12 = tk 36

Option C

Arun Kumar

AbhaGanu · Answer

Emdad  Tafsir how did you get to So, price of 12 is 3×12=36? Where did the 3 come from?

NikLexx · Answer

Yeah, that's 36 for a dozen.

Emdad · Answer

Price of 5 is 15
Price of 1 is  \frac{15}{5}=3 
So, price of 12 is 12×3
I hope it's clear now

Posted from my mobile device

Archit3110 · Answer

let original cost of mango be x 
so in tk 75 we can buy ; 75/x mangoes
now with 20 % discount cost of mango becomes .8x
with 75 tk we can buy ; 75/.8x ; 93.75/x 
given 
93.75/x-75/x = 5
solve x = 3.75 price per mango
new price of mango after discount 3.75*.8 ; 3
price per dozen ; 3*12 ; 36
option C

a191291r · Answer

Let x be the original price of one mango and n be original number of mangoes bought for tk75.

We have  x*n = 75  ----------- (i)

now, price is dropped by 20% and 5 more mangoes can be bought for tk75.

We have  (1-\frac{20}{100})*x*(n+5) = 75  ------------- (ii)

solving (i) and (ii), gives
 x*n  =  (1-\frac{20}{100})*x*(n+5) 
 n = \frac{80}{100}*n + \frac{80}{100}*5

solving for n gives 
n = 20 mangoes.

At current price, we can buy 20+5 mangoes for tk 75, i.e., price of each mango is tk 3 and price for a dozen is tk 3*12 = tk 36

KBoss27 · Answer

New solution and a lot easier, less complicated

Price per mango is reduced by 20% i.e. it is 80% of the older price per mango 
price per mango (PPM) is nothing but total cost/quantity

So new PPM is 75/x+5 , old PPM is 75/x

Equation => 75/x+5 = 80/100 (75/x)
Solve and get x = 20

New price per mango is 75/20+5 = 3
Price for a dozen is 3*12 = 36 i.e. C

Tinytrotter · Answer

Maybe a slightly simpler approach from my side was as follows:

We know that after 20% price reduction, we can buy 5 more mangoes with $75. Which means that 20% price here is equivalent of 5 mangoes. Multiply it by 5 so that we know that at 100% (i.e. $75) we can buy 25 mangoes at the new price. Which means the cost/mango is $3 (75/25). Multiply this by 12 (for a dozen) and we get 36.

Adit_ · Answer

Price is 4/5x. So number of mangoes = 5/4x.
Increase by 1/4x.
1/4x = 5. x = 20.
Now he buys 25 mangoes for 75.
Price of each mango = 3.
Price of 12 mangoes = 3*12 = 36.

Answer:  Option C

You can now buy 5 more mangoes with 75

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You can now buy 5 more mangoes with 75

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