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By selling 36 oranges, a vendor suffers a loss equal to the selling price of 4 oranges, then his loss percent will be ____%.

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Detailed Solution

By selling 36 oranges, a vendor suffers a loss equal to the selling price of 4 oranges, then his loss percent will be 10%.
We have the following formulas,
S.P=selling price.
C.P=cost price.
Gain=S.P-C.P

G a i n % = S . P − C . P C . P × 100

Loss=C.P-S.P

L o s s % = C . P − S . P C . P × 100

Let the C.P of one orange be a.
C.P of 36 oranges =36a.
Let S.P of one orange be ₹b.
S.P of 36 oranges=36b.
To find the loss,

⇒ 4 b = 36 a − 36 b ⇒ 4 b + 36 b = 36 a ⇒ 40 b = 36 a ⇒ b = 910 a

Therefore, loss percentage is,

= 4 b 36 a × 100 = 4 36 a × 9 a 10 × 100 = 10 %

The loss percentage is 10%.

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