Question 51

Study the given table and answer the question that follows.
The table shows the marked prices (in ₹) and percentages of discount offered for five different products.

If product Q is sold at 53% profit and product S is sold at 80% profit, then what will be the sum of the cost prices of Q and S?

Solution

MRP of product Q = 900

Selling price of product Q = 900 of (100-15)%

= 900 of 85%

= $$900\times\frac{85}{100}$$

= 765

If product Q is sold at 53% profit

Cost price of product Q = $$\frac{765}{\left(100+53\right)}\times\ 100$$

= $$\frac{765}{153}\times\ 100$$

= 500

MRP of product S = 1200

Selling price of product S = 1200 of (100-25)%

= 1200 of 75%

= $$1200\times\frac{75}{100}$$

= 900

If product S is sold at 80% profit.

Cost price of product S = $$\frac{900}{\left(100+80\right)}\times\ 100$$

= $$\frac{900}{180}\times\ 100$$

= 500

Sum of the cost prices of Q and S = 500+500

= 1000


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