On selling a watch at 3/10 of the marked price there is a loss of 16 percent. What will be the ratio of the marked price and the cost price of the watch?

a) 19 : 8
b) 8 : 5
c) 14 : 5
d) 7 : 4

Ans : c) 14 : 5

SSC Constable GD Exam Paper : Elementary Mathematics

Let M is Marked Price
The watch is sold at 3/10 of marked price. Selling Price (S) = 3/10M

There is a loss of 16% on the sale. So, the selling price S = 84% of Cost Price (C)

Put up value of S :
$\frac{3}{10} M =\frac {84}{100} C$

$\frac{M}{C} = \frac{84 \times 10} {100 \times 3}$
$\frac{\text{M}}{\text{C}} = \frac{14} {5}$

Ratio of the marked price and the cost price of the watch is 14:5

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