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Gemiola
14 days ago
6

Mrs.thapa bought 150 kg of oranges.18 kg of oranges were rotten and not fit for selling.If she sold the remaining quantity of or

anges at the rate of Rs 80 per kg and gained 10%. Find the rate of cost price of oranges.
Help!!​
Mathematics
2 answers:
Svet_ta [9.5K]14 days ago
8 0

Answer:

Rs64.00/kg  

Step-by-step explanation:

1. Determine the quantity of good oranges

Total oranges: 150 kg

Rotten oranges: 18 kg

Good oranges: 132 kg

2. Calculate the revenue from the good oranges

\text{Income} = \text{132 kg} \times \dfrac{\text{Rs80}}{\text{1 kg}} = \text{Rs10 560}

3. Determine the unit price of income

Revenue from good oranges amounted to Rs10,560.

The unit income based on 150 kg of oranges was

\text{Unit rate of income} = \dfrac{\text{RS10 560}}{\text{150 kg}} = \text{Rs70.40/kg}

4. Determine the original unit price of cost

Let x represent the original unit cost. Then

0.10x corresponds to 10% of the original unit cost and

1.10x represents 10% above the original unit cost

1.10x equals RS70.40/kg

      x equals (RS70.40/kg)/1.10 = Rs64.00/kg

The original unit cost was Rs64.00/kg.

Zina [9.1K]14 days ago
3 0

Answer:

The cost is Rs.64

Step-by-step explanation:

Total oranges purchased:

  • 150 kg

Oranges sold:

  • 150 - 18 = 132 kg

Total revenue from sales:

  • 132* 80 = Rs. 10560

Selling price for 150 kg:

  • 10560/150 = Rs. 70.4

Cost price:

  • x + 10% = 70.4x*1.1 = 70.4
  • x = 70.4/1.1x = Rs.64
  • The cost price of the oranges is
  • Rs. 64
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