Mrs. Shakya is a wholesaler. She has bought 15 similar cartons of
cooking oil from a dealer, each carton containing 12 bottles of oil. When
she reached her shop and opened the cartoon, she found that 5 bottles
were broken and not fit for sale.
(a) Write the formula to find the loss percent.
(b) She sold each of the remaining boltles of oil for Rs 324 and made the loss of
. What was her cost price?
[1A]
How much less or more than Rs 400 should she sell each bottle of the oil in
(2)
[2HA] to make a profit of in the transaction?

Ask by Craig Chang. in Nepal

Mar 26,2025

Question

Mrs. Shakya is a wholesaler. She has bought 15 similar cartons of
cooking oil from a dealer, each carton containing 12 bottles of oil. When
she reached her shop and opened the cartoon, she found that 5 bottles
were broken and not fit for sale.
(a) Write the formula to find the loss percent.
(b) She sold each of the remaining boltles of oil for Rs 324 and made the loss of
. What was her cost price?
[1A]
How much less or more than Rs 400 should she sell each bottle of the oil in
(2)
[2HA] to make a profit of in the transaction?

Ask by Craig Chang. in Nepal

Mar 26,2025

UpStudy AI · Accepted Answer

**(a)**  
The loss percent is given by  
$$
\text{Loss \%} = \frac{\text{Cost Price} - \text{Selling Price}}{\text{Cost Price}} \times 100\%
$$

---

**(b)**  
1. Mrs. Shakya bought $$15$$ cartons with $$12$$ bottles each, so the total number of bottles is  
   $$
   15 \times 12 = 180.
   $$
2. Since $$5$$ bottles are broken, the number of bottles available for sale is  
   $$
   180 - 5 = 175.
   $$
3. Let the total cost price be $$C$$ and the cost price per bottle be $$\frac{C}{180}$$.  
   She sold each good bottle for Rs $$324$$, so her total selling price is  
   $$
   175 \times 324 = 56700.
   $$
4. Given that she incurred a loss of $$10\%$$, the total selling price is $$90\%$$ of the total cost, hence  
   $$
   0.90 \times C = 56700.
   $$
   Solving for $$C$$:  
   $$
   C = \frac{56700}{0.90} = 63000.
   $$
5. The cost price per bottle is then  
   $$
   \frac{63000}{180} = 350.
   $$

Thus, her cost price per bottle is Rs $$350$$.

---

**(c)**  
To achieve a profit of $$14\%$$, the selling price per bottle should be  
$$
350 \times (1 + 0.14) = 350 \times 1.14 = 399.
$$
This means she should sell each bottle for Rs $$399$$. Comparing with Rs $$400$$:  
$$
400 - 399 = 1.
$$
She should sell each bottle Rs $$1$$ less than Rs $$400$$ to secure a $$14\%$$ profit.
**(a)** Loss percent is calculated as $$ \text{Loss \%} = \frac{\text{Cost Price} - \text{Selling Price}}{\text{Cost Price}} \times 100\% $$ **(b)** - Total bottles bought: $$15 \times 12 = 180$$ - Bottles sold: $$180 - 5 = 175$$ - Cost price per bottle: Rs $$350$$ - Selling price per bottle to make a $$10\%$$ loss: Rs $$324$$ **(c)** To make a $$14\%$$ profit, she should sell each bottle for Rs $$399$$. Selling at Rs $$400$$ is Rs $$1$$ more than needed for a profit. So, she should sell each bottle Rs $$1$$ less than Rs $$400$$ to achieve a $$14\%$$ profit.

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