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

$4:5$

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Solution

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Correct option is A)

S.P. of $1$ kg of the mixture $=$ Rs. $68.20$, Gain $=10$%. C.P. of $1$ kg of the mixture $=$ Rs. $(110100 ×68.20)=$ Rs. $62$. By the rule of alligation, we have: $∴$ Required ratio $=3:2$.