A vendor sells a coconut at Rs.24 and suffers 24% loss. If he wants to make 14% profit, then at what price ( in Rs.) should he sell?Options28303236
Question
A vendor sells a coconut at Rs.24 and suffers 24% loss. If he wants to make 14% profit, then at what price ( in Rs.) should he sell?
Options: 28, 30, 32, 36
Solution
To solve this problem, we first need to find the cost price of the coconut for the vendor.
Given that the vendor sells the coconut at Rs.24 and incurs a 24% loss, this means that Rs.24 represents 76% of the cost price (since 100% - 24% = 76%).
So, we can set up the equation:
24 = 0.76 * Cost Price
Solving for Cost Price gives us:
Cost Price = 24 / 0.76 = Rs.31.58 (approximately)
Now, if the vendor wants to make a 14% profit, he should sell the coconut at 114% of the cost price (since 100% + 14% = 114%).
So, the selling price for a 14% profit would be:
Selling Price = 1.14 * Cost Price
Selling Price = 1.14 * 31.58 = Rs.36 (approximately)
So, the vendor should sell the coconut at approximately Rs.36 to make a 14% profit. The closest option to this is 36.
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