Question

A fruit vendor buys 120 Shimla apples at 4
for Rs. 100, and 120 Golden apples at 6
for Rs. 100. She decides to mix them and
sell at 10 for Rs. 200. She will make
1. no profit, no loss
2. a loss of 4%
3. a gain of 4%
4. a loss of 10%​

Answer 1

Answer:

options 4is the correct answer

Answer 2

Given: No. of Shimla apples bought by the vendor = 120

           Cost of 4 Shimla apples = Rs. 100

           No. of Golden apples bought = 120

           Cost of 6 Golden apples = Rs. 100

           Selling price of 10 apples after mixing Shimla apples and Golden apples = Rs. 200

To find: Profit/Loss

Solution: According to the given question,

Cost of 4 Shimla apples = Rs. 100

Cost of 1 Shimla apple = 100/4 = Rs. 25

C.P. (Cost price) of Shimla apples = 120 x 25

                                                       = Rs. 3,000

Cost of 6 Golden apples = Rs. 100

Cost of 1 Golden apple = Rs. 100/6

C.P. of Golden apples = 120 x 100/6

                                    = Rs. 2,000

Total C.P. of both kind of apples = Rs. 3,000 + Rs. 2,000

                                                      = Rs. 5,000

Total no. of apples = 240 (120 + 120)

Selling price of 10 apples = Rs. 200

S.P. of 1 apple = 200/10 = Rs. 20

S.P. of 240 apples = 20 x 240 = Rs. 4,800

Now, C.P. > S.P. So, the vendor had loss

.: Loss = C.P. - S.P.

        = Rs. 5,000 - Rs. 4,800

        = Rs. 200

.: Loss percentage = $\frac{Loss}{Cost Price}$ × 100

                               = $\frac{200}{5,000}$ x 100

                               = 4%

The vendor had 4% loss.