Question 53

A shopkeeper sells 6 cardigans for ₹3,000 with 20% profit and 10 trousers for ₹6,38O with 16% profit. What is the total profit per cent?

Solution

Cost price of 6 cardigans = ₹3000

Cost price of 1 cardigans = ₹$$\frac{3000}{6}=₹500$$

Now he is having 20% profit on 1 cardigan = $$\frac{20}{100}\times\ 500=₹100$$

Profit on selling 6 cardigans = ₹600

Cost price of 10 trousers = ₹6380

CP of 1 trouser = ₹638

Profit on selling 1 trouser = 16% = $$\frac{16}{100}\times\ 638=₹102.08$$

profit on selling 10 trousers = ₹1020.8

Total profit = ₹600 + ₹1020.8 = ₹1620.8

Total CP = 3000 + 6380 = ₹9380

Profit % = $$\frac{1620.8}{9380}\times\ 100=17.27\ \%\simeq\ 17.25\ \%$$

Hence, Option A is correct. 


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