Aptitude - Simplification - Discussion
Discussion Forum : 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:
Answer: Option
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.
Discussion:
32 comments Page 1 of 4.
Sandeep said:
1 decade ago
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...
given 15C+2T=4000
using (1) we get C=200 & T=500
Hence we can find remaining...
(1)
Dilip said:
1 decade ago
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
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:
1 decade ago
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
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:
1 decade ago
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.
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:
1 decade ago
How did they get the 20 that was used 20 divide 4000 ?
Manojit said:
1 decade ago
@Lorna
15x+2*5x/2=4000 [2is multiply of 5x/2]
15x+5x=4000
20x=4000
x=4000/20
x=200
15x+2*5x/2=4000 [2is multiply of 5x/2]
15x+5x=4000
20x=4000
x=4000/20
x=200
Rashmi said:
1 decade ago
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).
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:
1 decade ago
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.
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.
(2)
Sunitha said:
1 decade ago
Am confuse please explain clearly.
Rajashekar said:
10 years ago
5/2x how?
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