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Mr.John used to purchase certain number of mangoes for $360.
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Updated on: 13 Feb 2014, 06:15

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Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 120 mangoes.

Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 120 mangoes.

A. 360 B. 380 C. 400 D. 406 E. 412

Im trying to answer this another way but I can't seem to think what I'm doing wrong

So we have

PQ = 360 (0.9P)(Q+12) = 360

We need to find 120P

Now if we reduce 10% on P and still get the same result then Q increases 10% So Q + 12 = 11/10 Q --> Q = 120

Therefore P is equal to 3.

And we have that 120P = 360.

I don't quite know what I can't get the answer 400 following this approach, could any expert please advise

Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 120 mangoes.

A. 360 B. 380 C. 400 D. 406 E. 412

Im trying to answer this another way but I can't seem to think what I'm doing wrong

So we have

PQ = 360 (0.9P)(Q+12) = 360

We need to find 120P

Now if we reduce 10% on P and still get the same result then Q increases 10% So Q + 12 = 11/10 Q --> Q = 120

Therefore P is equal to 3.

And we have that 120P = 360.

I don't quite know what I can't get the answer 400 following this approach, could any expert please advise

Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 120 mangoes.

A. 360 B. 380 C. 400 D. 406 E. 412

Im trying to answer this another way but I can't seem to think what I'm doing wrong

So we have

PQ = 360 (0.9P)(Q+12) = 360

We need to find 120P

Now if we reduce 10% on P and still get the same result then Q increases 10% So Q + 12 = 11/10 Q --> Q = 120

Therefore P is equal to 3.

And we have that 120P = 360.

I don't quite know what I can't get the answer 400 following this approach, could any expert please advise

Re: Mr.John used to purchase certain number of mangoes for $360.
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13 Feb 2014, 09:55

Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 120 mangoes.

Method 1: Let price per mango = x. Let number of mangoes be n. Then, nx = 360. Now price = 0.9x; number of mangoes = n + 12. Total amount = 0.9x*(n+12) = 360. nx = 0.9nx + 10.8x => 0.1nx = 10.8x => n = 108 => x = 360/108 = 3.33 Original price of 120 mangoes = 120*3.33 = 400.

Method 2: Let price per mango be x. Then, 360/(0.9x) - 360/x = 12 => 400/x - 360/x = 12 => 40/x = 12 => x = 40/12. Price of 120 mangoes = 120 x = 120 *40/12 = 400

Re: Mr.John used to purchase certain number of mangoes for $360.
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06 Sep 2018, 02:57

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