Question

In what ratio must a grocer mix two varieties of tea worth Rs. $60$ a kg and Rs. $65$ a kg so that by selling the mixture at Rs. $68.20$ a kg he may gain $10$%?

• A. $3:2$
• B. $3:4$
• C. $3:5$
• D. $4:5$

Answer 1

Answer: (A)

$3:2$

S.P. of $1$ kg of the mixture $=$ Rs. $68.20$, Gain $=10$%.
C.P. of $1$ kg of the mixture $=$ Rs. $(\frac{100}{110}\times 68.20)=$ Rs. $62$.
By the rule of alligation, we have:
$\therefore$ Required ratio $=3:2$.