Question

when sp is 6300 and gain is 5%. find the cost price.

Answer 1

The cost price when the selling price is 6300 and the gain is 5% is Rs.6,000

Step-by-step explanation:

Given:

Selling price = (S.P.)= Rs. 6,300

Gain rate = 5 %

To find:

cost price

Solution:

The gain rate is expressed in percentage

And the selling price is Rs. 6300

To find the cost price we use the simple formula

Cost price (C.P.) = $[\frac{100}{100 + gain \%} \ X \ selling \ price}]$

∴ CP = $[\frac{100}{100 + 5 \%} \ X \ SP}]$

∴ CP = $[\frac{100}{105} \ X \ 6300}]$

∴ CP = $\frac{630000}{105}$

∴ CP = $6000$

∴ CP = Rs. 6,000

∴ Cost Price = Rs. 6,000

Thus, the cost price is Rs. 6,000

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Answer 2

The cost price is 6000.

Step-by-step explanation:

When an object is bought at a certain amount buy a buyer, the amount at which the object is bought is known as the cost price of the object. The amount of money at which the object is sold is called selling price of the object. If the selling price of the object is greater than the cost price of the object, profit is achieved and the profit is found out by subtracting the cost price of the object from the selling price of the object. Now, finding the equivalent profit when the cost price is Rs. 100 is called the profit percentage.

According to the given information, it is given that, the gain percent that is profit percent is 5% and the selling price is 6300.

We need to find the cost price. Let the cost price be x.

Now, when the cost price is 100, the profit is 5.

Then, when the cost price is 1, the profit is $\frac{5}{100} = 0.05$.

When the cost price is x the profit is 0.05 x.

Now, we know that, the profit is equal to selling price - cost price.

Then, we get,

0.05x = 6300 - x

Or, 0.05x + x = 6300.

Or, 1.05x = 6300

Or, x = 6000.

Thus, the cost price is 6000.

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