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400 pears were bought at ₹1230 per hundred and were sold at a profit of ₹980. Find the selling price (in ₹) per dozen of pears.

A192

B187

C167

D177

Answer:

D. 177

Read Explanation:

Cost price of 400 pears

Rate = ₹1230 per 100 pears

So for 400 pears:
Cost Price=1230100×400\text{Cost Price} = \frac{1230}{100} \times 400

=12.3×400=4920= 12.3 \times 400 = 4920

Add profit

Profit = ₹980

Selling Price (total)=4920+980=5900\text{Selling Price (total)} = 4920 + 980 = 5900

Find SP per dozen

400pears=(40012=33.33)dozens400 pears = ( \frac{400}{12} = 33.33 ) dozens

So,
SP per dozen=5900400×12\text{SP per dozen} = \frac{5900}{400} \times 12

First:
5900400=14.75\frac{5900}{400} = 14.75

Now:
14.75×12=17714.75 \times 12 = 177

₹177 per dozen


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