Pooja wants to sell a watch at a profit of 20%. She bought it at 10% l...
C. P. of watch = Rs. x (let)
According to the question,
x = 250
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Pooja wants to sell a watch at a profit of 20%. She bought it at 10% l...
Given:
Pooja wants to sell a watch at a profit of 20%.
She bought it at 10% less and sold it at Rs. 30 less.
But still, she gained 20%.
To find:
The cost price of the watch.
Solution:
Let's assume the cost price of the watch is 'x' rupees.
Bought at 10% less:
When Pooja bought the watch, she got a discount of 10%.
So, the buying price of the watch would be 90% of the cost price.
Therefore, the buying price of the watch is (90/100) * x = 0.9x rupees.
Sold at Rs. 30 less:
When Pooja sold the watch, she sold it at a price which is Rs. 30 less than the buying price.
So, the selling price of the watch would be the buying price minus Rs. 30.
Therefore, the selling price of the watch is 0.9x - 30 rupees.
Gained 20%:
According to the given information, Pooja gained a profit of 20%.
Profit percentage is calculated as (Profit / Cost Price) * 100.
So, the profit earned by Pooja is (20/100) * x = 0.2x rupees.
Since the selling price is the buying price minus Rs. 30, we can write the equation as:
0.9x - 30 = 0.2x
Now, let's solve the equation to find the value of 'x' (the cost price of the watch).
0.9x - 0.2x = 30
0.7x = 30
x = 30 / 0.7
x ≈ 42.857
Therefore, the cost price of the watch is approximately Rs. 42.857, which can be rounded to Rs. 43.
So, the correct option is C) Rs. 250.