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
E. None of these
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{cost}}\,{\text{of}}\,{\text{a}}\,{\text{chair}}\,{\text{and}}\,{\text{that}}\,{\text{of}}\,\,{\text{table}} \cr & \,{\text{be}}\,Rs.\,x\,{\text{and}}\,Rs.\,y\,{\text{respectively}}. \cr & {\text{Then}},\,10x = 4y\,\,\,or\,\,\,y = \frac{5}{2}x \cr & \therefore 15x + 2y = 4000 \cr & \Rightarrow 15x + 2 \times \frac{5}{2}x = 4000 \cr & \Rightarrow 20x = 4000 \cr & \therefore x = 200 \cr & {\text{So}},\,y = {\frac{5}{2} \times 200} = 500 \cr & {\text{Hence,}}\,{\text{the}}\,{\text{cost}}\,{\text{of}}\,{\text{12}}\,{\text{chairs}}\,{\text{and}}\,{\text{3}}\,{\text{tables}} \cr & = 12x + 3y \cr & = Rs.\,\left( {2400 + 1500} \right) \cr & = Rs.\,3900 \cr} $$Join The Discussion
Comments ( 4 )
Related Questions on Simplification
A. 20
B. 80
C. 100
D. 200
E. None of these
A. Rs. 3500
B. Rs. 3750
C. Rs. 3840
D. Rs. 3900
E. None of these
4T=10C
2T=5C
ATQ,15C+2T=4000
OR,15C+5C=4000
OR,C=200
2T=5C
T=5C/2=5*200/2=500
12C+3T=12*200+3*500=3900
Price of 10chair=price of 4tables
Or, 10C= 4T
C/T= 4/10=2/5 or 2:5
15x2+2x2=40
if 40units= 4000rupees
2 units= 200 rupees
5 units = 500rupees
12x200+3x500= 3900ruppes 👈 Answer
The price of 12 chairs is equal to that of 5 tables. The price of 8 chairs and 3 tables together is rs.5700. The total price of 9 chairs and 6 tables is
10ch=4tb
15ch=4/10*15=6table
6tb+2tb price 4000tk
1tb price 500tk
3tb price 500*3=1500......
10ch=4tb
12ch=4/10*12=4.8tb
500*4.8=2400......
1500+2400=3900