Aptitude - Simplification - Discussion

Discussion :: Simplification - General Questions (Q.No.3)

3. 

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

[A]. Rs. 3500
[B]. Rs. 3750
[C]. Rs. 3840
[D]. Rs. 3900

Answer: Option D

Explanation:

Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.

Then, 10x = 4y   or   y = 5 x.
2

15x + 2y = 4000

15x + 2 x 5 x = 4000
2

20x = 4000

x = 200.

So, y = 5 x 200 = 500.
2

Hence, the cost of 12 chairs and 3 tables = 12x + 3y

    = Rs. (2400 + 1500)

    = Rs. 3900.


Sandeep said: (Aug 19, 2010)  
Easy way: If 10C=4T then 5C=2T......(1)
given 15C+2T=4000
using (1) we get C=200 & T=500

Hence we can find remaining...

Dilip said: (Jan 28, 2011)  
15C+2T=4000
30C+4T=8000

10C=4T

30C+10C=8000
40C=8000
C=200

15(200)+2T=4000
3000+2T=4000
2T=1000
T=500

12(200)+3(500)=3900

Premchand said: (Apr 2, 2011)  
10c=4t then 1t=2.5c
15c+2t=4000 that is chair calculation 20c=4000 one chair is 200 12x200=2400 3t=7.5c that is 1500 total counting is 3900

Martin said: (Jun 30, 2011)  
10c=4t
15c+2t=4000
take the cost of c & t is 2000 b'coz 10c + 4t cost is same. and divid 2000 by 10 as well as 4 and get c & t cost as,
1t-500
1c-200
therefore,
12c-2400 + 3t-1500 = 3900.

Lorna said: (Sep 17, 2011)  
How did they get the 20 that was used 20 divide 4000 ?

Manojit said: (Feb 7, 2012)  
@Lorna
15x+2*5x/2=4000 [2is multiply of 5x/2]
15x+5x=4000
20x=4000
x=4000/20
x=200

Rashmi said: (Mar 13, 2012)  
10 chairs = 4 tables => 5 chairs = 2 tables....(i)
15 chairs + 2 tables = 4000 (given)

=> 15 chairs + 5 chairs = 4000 from (i)
=> 20 chairs = rs4000
=> 10 chairs = 2000 = 4 tables....(ii)
=> 1 chair = 2000/10=200
=> 12 chairs= 200*12= 2400 and 1 table = 2000/4 from (ii)
=>3 tables=500*3=1500
.
. . 12c+3t = 2400+1500= 3900 (ans).

Arshad said: (May 28, 2013)  
10 Chairs = 4 tables.
5 Chairs = 2 tables.
15 chairs + 2 tables(5 chairs) = 4000.

20 chairs = 4000.
1 chairs = 200.

1 tables = 2.5 chairs.
2.5*200 = 500.
12C+3T = 12*200+3*500 = 2400+1500 = 3900.

Sunitha said: (Jun 13, 2015)  
Am confuse please explain clearly.

Rajashekar said: (Aug 24, 2015)  
5/2x how?

Manikandan.R said: (Jan 8, 2016)  
Please explain clearly steps.

Bibarsha said: (May 22, 2016)  
=> 10 chair = 4 tables.

Then, 5 chair= 2 tables.
So, 15 chair + 2 table= 4000/- (given).

Means;

5c = 1000/-.
5c = 1000/-.
5c = 1000/-.

2t = 1000 (since 5c=2tables).

Then, 1 table = 1000/2.
=500/-.
1 chair = 1000/5.
=200/-.

Question is-.
12 chair + 3table = ?

12 * 200 + 3 * 500= 2400 + 1500 = 3900/-.

Shreya said: (Aug 22, 2016)  
I can't find the answer, please help me.

Naveencool said: (Nov 22, 2016)  
Cost of 10C and 4T is same as 15C and 2T.
Total - 4000 either you buy 10c and 4t or 15c or 2t.
Cost will remain the same.

Now 10c = 2000 and 4t = 2000 so 2000/10 and 2000/4 you will get- 200 and 500 so 12c * 200 and 3t * 500.

Now you get 2400 + 1500 = 3900.

Pavan said: (Jan 6, 2017)  
I can't understand, please tell me a simple method.

Mir Mushtaq said: (Jan 25, 2017)  
According to me,
Solution :
One tab = 250.
One chair = 200
Then
12c * 200 = 2400
3t * 250 = 750
Total = 3150 not 3900.

Ashok Kothimerla said: (Jan 28, 2017)  
I can't understand, please tell me a simple method.

According to me the solution.

One table =250.
One chair=200.

Then,

12c * 200 = 2400 3t * 250=750.

Total =3150 not 3900.

Shanthini said: (Jun 22, 2017)  
Anyone say how 1500 will come?

Vaishali said: (Jun 24, 2017)  
Thank you all.

Niveditha said: (Jan 23, 2018)  
10chairs=4tables.

Given that ( 15chairs+2tables=4000).
so (6tables+2tables=4000) we got 6 tables here because 4T=10C so 15C=6T
8tables =4000.
1 table =500.
now chairs.
10chairs=4tables hence (4*500=2000).
10chairs=2000.
1chair=200.
now 12chairs+3tables=12*200+3*500=2400+1500=3900.

Alka said: (Jul 24, 2019)  
Thanks for the simplest solution @Rashmi.

Kiru said: (Aug 25, 2019)  
Thanks @Arshad.

Nouf said: (Aug 29, 2019)  
10 Chair = 4Table.

=>. 2T = 5Chair,
=>15 C= 6Table,

=] 6T + 2T 4000 >>T =500.
C = 2T/5 = 200.
12 * 200+ 3 * 500 = 3900.

Jones said: (Oct 9, 2019)  
Am not understanding anything honestly.

Hemanth said: (Oct 28, 2020)  
How 5/2 x came? Please explain it.

Rupali said: (Dec 2, 2020)  
How 5/2 x came? Please explain it.

Mohammed Rasel Rana said: (Dec 6, 2020)  
4table=10chair.

So 2 table=(10*-2)÷4 =5chair
Again,
3table=(10*3)÷4=15/2
(5+15) chair=4000.

So, 1chair=4000÷20=200
So,
15/2+12=39/2
So,(39÷2)*200=3900.
Answer:-39000.

Yash Taak said: (May 28, 2021)  
Please, can explain 5\2x how will come?

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