Question

the difference between selling prices of an article at a profit of 6% and 18% is 17.77 Rs.The ratio of two selling price​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The difference between selling prices of an article at a profit of 6% and 18% is 17.77 Rs. The ratio of two selling price is

(a) 63 : 69

(b) 33 : 35

(c) 17 : 19

(d) 53 : 57

(e) 53 : 59

EVALUATION

Let cost price of the article = Rs C

Then the selling prices of the article at a profit of 6%

$\displaystyle\sf{ = Rs. \: C \times \frac{106}{100} }$

$\displaystyle\sf{ = Rs. \: 1.06C }$

Also the selling prices of the article at a profit of 18%

$\displaystyle\sf{ = Rs. \: C \times \frac{118}{100} }$

$\displaystyle\sf{ = Rs. \: 1.18C }$

Hence the required ratio of two selling price

= 1.06C : 1.18C

= 1.06 : 1.18

= 106 : 118

= 53 : 59

FINAL ANSWER

Hence the correct option is (e) 53 : 59

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