Question

In what ratio must water be added to spirit to gain 10% by selling it at the cost price?

• A. 1 : 11
• B. 1 : 5
• C. 1 : 10
• D. 1 : 9
• E. None of the above

Answer 1

The correct option is C 1 : 10

Let the C.P. of the spirit = Rs 10 per litre
S.P. of the mixture = Rs 10 per litre
Profit =10%
$\therefore C.P.ofthemixture=\frac{10\times 100}{110}=Rs\frac{100}{11}perlitre$

$\therefore \frac{Quantityofwater}{Quantityofspirit}=\frac{\frac{10}{11}}{\frac{100}{11}}=1:10$