The cost of a table and a chair are in the ratio of 5 : 7. If the cost of chair and table is increased by 20% and 10% respectively, then what will be the new ratio?
A. 16 : 17
B. 55 : 84
C. 60 : 77
D. Data inadequate
E. None of these
Answer: Option B
Solution(By Examveda Team)
Let the cost of the table and chair be Rs. 5x and Rs. 7x respectively$$\eqalign{ & {\text{New cost of chair}} \cr & = 120\% {\text{ of }}7x \cr & = {\text{Rs}}{\text{.}}\left( {\frac{6}{5} \times 7x} \right) \cr & = {\text{Rs}}{\text{.}}\frac{{42x}}{5} \cr & {\text{New cost of table}} \cr & = 110\% {\text{ of }}5x \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{11}}{{10}} \times 5x} \right) \cr & = {\text{Rs}}{\text{.}}\frac{{55x}}{{10}}. \cr & \therefore {\text{New ratio}} \cr & = \frac{{55x}}{{10}}:\frac{{42x}}{5} \cr & = 55:84 \cr} $$
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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