5) Mrs. Limbu bought 180 kg of oranges in Dhankuta. 15 kg of oranges were rotten and not fit for selling. If she sold the remaining quantity of oranges in Dharan at the rate of Rs 78 per kg and gained 10%, find the rate of cost price of oranges.
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Answer: The rate of the cost price of oranges= ₹ 65 per kg
Step-by-step explanation:
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Step-by-step explanation:
Mrs. Limbu bought of oranges (c.p)=180kg
if oranges were rotten and not fit for selling = 15kg
she sold the remaining quantity of oranges = 180-15
=165 kg
she sold the remaining quantity of oranges(s. p) Rs. 78 par kg.
Now,
She sold the remaining quantity of oranges (s. p)
= 165×78
=Rs.12,870
gained/profit =10%
Now,
s. p = cp +profit%of c. p
or, 12870 = c. p + 10/100 ×c.p
or, 12870 =( 100c.p + 10c.p) /100
or, 12870×100 = 110c.p
or, 1287000/110= c. p
so, 11,700 = c. p
so c. p = 11700
the rate of cost price of oranges par kg = 11700/80
= Rs. 65
the rate of cost price of oranges par kg is Rs 65
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