A person at first has enough money to buy 80 sunglasses worth Rs. 700 each. If the cost of each sunglasses gets increased by Rs. 50, then how many sunglasses can he buy with the same amount of money (approx.).

Options

A. 80
B. 74
C. 82
D. 75

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Calculate the total amount of money the person has.
The person can buy 80 sunglasses at Rs. 700 each.

Total money = Number of sunglasses × Cost per sunglasses
Total money = 80 × 700
Total money = Rs. 56,000

### Step 2: Calculate the new cost of each sunglasses after the increase.
The cost of each sunglasses increases by Rs. 50.

New cost per sunglasses = Original cost + Increase
New cost per sunglasses = 700 + 50
New cost per sunglasses = Rs. 750

### Step 3: Calculate how many sunglasses can be bought with the total amount at the new price.
Now, we will use the total amount of money to find out how many sunglasses can be bought at the new price.

Number of sunglasses = Total money / New cost per sunglasses
Number of sunglasses = 56,000 / 750

### Step 4: Perform the division to find the number of sunglasses.
Number of sunglasses = 56,000 ÷ 750
Number of sunglasses ≈ 74.67

Since the number of sunglasses must be a whole number, we can approximate it to 74.

### Final Answer:
The person can buy approximately **74 sunglasses** after the price increase.

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