A) Rs.100, Rs.80
B) Rs. 90, Rs. 100
C) Rs.120, Rs. 60
D) Rs.150, Rs. 80
Correct Answer: A
Solution :
Let cost price of tea-set = Rs. x and cost price of lemon-set = Rs. y (i) Loss on tea-set \[=Rs.\,\frac{5x}{100}=Rs.\frac{x}{20}\] Gain on lemon-set \[=Rs.\,\frac{15y}{100}=Rs.\frac{3y}{20}\] Also, \[\frac{3}{20}y-\frac{x}{20}=7\] \[\Rightarrow \] \[3y-x=140\] ...(1) (ii) Gain on tea-set \[=Rs.\,\frac{5x}{100}=Rs.\frac{x}{20}\] Gain on lemon-set \[=Rs,\frac{10y}{100}=Rs.\frac{y}{10}\] Also, \[\frac{x}{20}+\frac{y}{10}=13\Rightarrow x+2y=260\] ...(2) Solving (1) and (2), we get \[\Rightarrow \] \[y=Rs.\,80\] and \[x=Rs.\,100\]You need to login to perform this action.
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