In September, a coat costs $62.50.

In October, the cost of the coat increases by 4% of the cost in September.

In November, the cost of the coat increases by a further 14.6% of the cost in October.

Find the cost of the coat after both increases.

Question

11-01-2025
Mathematics

College

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In September, a coat costs $62.50.

In October, the cost of the coat increases by 4% of the cost in September.

In November, the cost of the coat increases by a further 14.6% of the cost in October.

Find the cost of the coat after both increases.

Answer :

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Final answer:

To calculate the cost of the coat after a 4% increase in October and a further 14.6% increase in November, we find 4% and 14.6% of the initial costs for each respective month and add them to the original price, resulting in a final cost of $74.49.

Explanation:

To find the new cost of the coat after both increases in percentage, we perform two calculations: one for the increase in October and then another for the increase in November.

Step 1: Calculate the October Increase

The coat costs $62.50 in September. The October increase is 4% of $62.50. To find 4% of $62.50, we multiply $62.50 by 0.04:

$62.50 × 0.04 = $2.50

So, the new cost in October is $62.50 + $2.50 = $65.00.

Step 2: Calculate the November Increase

The November increase is 14.6% of the October cost, which is $65.00. To calculate this, we multiply $65.00 by 0.146:

$65.00 × 0.146 = $9.49

Therefore, the final cost of the coat after the November increase is $65.00 + $9.49 = $74.49.

After applying both percentage increases, the coat's cost increases to $74.49.

In September, a coat costs $62.50.In October, the cost of the coat increases by 4% of the cost in September.In November, the cost of the coat increases by a further 14.6% of the cost in October.Find the cost of the coat after both increases.

Answer :

Other Questions

In September, a coat costs $62.50.

In October, the cost of the coat increases by 4% of the cost in September.

In November, the cost of the coat increases by a further 14.6% of the cost in October.

Find the cost of the coat after both increases.