Question 66

The marked price of a cap is ₹2,000. Two successive discounts of 15% and $$x$$% are given. If the selling price is ₹1275, then what is the value of $$x$$?

Solution

The marked price of a cap is ₹2,000. Two successive discounts of 15% and $$x$$% are given. If the selling price is ₹1275.

2000 of (100-15)% of (100-x)% = 1275

$$2000\times\ 85\%\times\ (100-x)\%=1275$$

$$2000\times\ \frac{85}{100}\times\ \frac{(100-x)}{100}=1275$$
$$17\times\ (100-x) = 1275$$

$$1700-17x = 1275$$

$$17x = 1700-1275$$

$$17x = 425$$

Value of $$x$$ = 25

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