Some toffees are bought at the rate of 11 for Rs 10 the same number at the rate of - Maths - Comparing Quantities

Question

Some toffees are bought at the rate of 11 for Rs 10 &the
same number at the rate of 9 for Rs 10 If the whole lot is sold at
one rupee per toffee find the gain or loss in the whole
transaction

Ankush Jain · Accepted Answer

Given, some toffees are bought at the rate of 11 for Rs 10 and same number at the rate of 9 for Rs 10 â‡’ c p of each toffee of first kind = $R s \frac{10}{11}$ â‡’ c p of each toffee of second kind = $R s \frac{10}{9}$ Cost price of two toffees of different kinds = $\frac{10}{11} + \frac{10}{9} = \frac{90 + 110}{99} = R s \frac{200}{99}$ Therefore, combined cost price of one toffee = $\frac{1}{2} \times R s \frac{200}{99} = R s \frac{100}{99}$ It is given that, selling price of 1 toffee = Rs 1 As, C P > S P, therefore the seller must incurred a loss given by: $L o s s % = \frac{L o s s}{C P} \times 100 \Rightarrow L o s s % = \frac{C P - S P}{C P} \times 100 = \frac{\frac{100}{99} - 1}{\frac{100}{99}} \times 100 = \frac{\frac{1}{99}}{\frac{100}{99}} \times 100 = \frac{1}{100} \times 100 = 1 %$

Some toffees are bought at the rate of 11 for Rs 10 &the same number at the rate of 9 for Rs 10. If the whole lot is sold at one rupee per toffee. find the gain or loss in the whole transaction.