X send goods to Y costing Rs. 30000 at cost plus 25%. These goods are ...
Calculation of Cost Price and Selling Price
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To find the value of closing stock, we first need to calculate the cost price and selling price of the goods.
- Cost price of goods = Rs. 30000 + 25% of Rs. 30000
= Rs. 37500
- Selling price of goods = 110% of cost price
= 110/100 * Rs. 37500
= Rs. 41250
Calculation of Quantity Sold
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Next, we need to find out the quantity of goods sold by Y for Rs. 33000.
- Selling price per unit = Rs. 33000 / x, where x is the quantity sold
- Cost price per unit = Rs. 37500 / x
Since the selling price is 10% above the cost price, we can write:
- Selling price per unit = 110/100 * cost price per unit
Substituting the values, we get:
- Rs. 33000 / x = 110/100 * Rs. 37500 / x
- x = 25
So, Y sold 25 units of goods for Rs. 33000.
Calculation of Closing Stock Value
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Finally, we can find the value of closing stock using the following formula:
- Closing stock value = (Total quantity of goods - Quantity sold) * Cost price per unit
Substituting the values, we get:
- Closing stock value = (Total quantity of goods - 25) * Rs. 37500 / total quantity of goods
We don't have the total quantity of goods, but we know that the value of closing stock is one of the options given:
- Option (a) 8000
- Option (b) 6000
- Option (c) 7000
- Option (d) 5000
We can try each option and see which one satisfies the equation. For example, if we assume that the total quantity of goods is 40, then:
- Option (a) => Closing stock value = 15 * Rs. 37500 / 40 = Rs. 14062.5 (not equal to 8000)
- Option (b) => Closing stock value = 15 * Rs. 37500 / 40 = Rs. 10546.875 (not equal to 6000)
- Option (c) => Closing stock value = 15 * Rs. 37500 / 40 = Rs. 12204.6875 (not equal to 7000)
- Option (d) => Closing stock value = 15 * Rs. 37500 / 40 = Rs. 8750 (not equal to 5000)
None of the options satisfy the equation, which means that we have made an error in our calculations. We can go back and check our steps to find the mistake.
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