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A vendor bought mangoes at the rate of 8 for ₹12 and sold them at the rate of 6 for ₹10. Find his percentage gain.
Question

A vendor bought mangoes at the rate of 8 for ₹12 and sold them at the rate of 6 for ₹10. Find his percentage gain.

A.

50%

B.

1009\frac{100}{9}%​

C.

10%

D.

1003\frac{100}{3}%​

Correct option is B

Given:
The vendor bought 8 mangoes for ₹12
The vendor sold 6 mangoes for ₹10
Formula Used:
Percentage Gain=GainCost Price×100\text{Percentage Gain} = \frac{\text{Gain}}{\text{Cost Price}} \times 100​​
Where, Gain = Selling Price - Cost Price
Solution:
Cost price per mango = 128\frac{12}{ 8}​ = 32\frac{3}{ 2}​​
Selling price per mango = 106=53\frac{10}{ 6} = \frac 53
Gain per mango = S.P. - C.P. = 5332=1096=16\frac 53- \frac 32= \frac{10-9}{6}= \frac{1}{6}​​
Percentage Gain = 1632×100\frac {\frac{1}{6}}{\frac{3}{2}} \times 100 = 1009% \frac{100}9 \%​​


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