Instructions

Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
Give answer a: if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer b: if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer c: if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
Give answer d: if the data in both the Statements I and II together are not sufficient to answer the question.
Give answer e: if the data in both the Statements I and II together are necessary to answer the question.

Question 66

# What is the marked price of the table which was sold at a discounted price?(I) The marked price of the table is 40% above the cost price of the table. Two consecutive discounts were given while selling the table.(II) The table was sold for Rs. 239.40. The percentage of discount given for second time while selling the table is double the percentage of discount given for the first time while selling the table,

Solution

Statement I : Let C.P. = $$Rs. 100$$

=> M.P. = $$100 + \frac{40}{100} \times 100 = Rs. 140$$

Statement II : S.P. = $$Rs. 239.40$$

Let first discount = $$x \%$$, => Second discount = $$2x \%$$

From both statements, we get :

=> $$140 \times \frac{x}{100} \times \frac{2 x}{100} = 239.40$$

=> $$x^2 = \frac{239.40 \times 100 \times 100}{280}$$

=> $$x^2 = 8550$$

=> $$x = \sqrt{8550} \approx 92.5$$

$$\therefore$$ First discount = 100 - 92.5 = 7.5% and second discount = 15%

Thus, we can find the value of marked price

$$\therefore$$ Both statements are required to answer the question.