BLE MODEL QUESTION [ISSUED BY CDC]

1. Study the given Venn-diagram and answer the following questions.

(a) Define proper subset.

Solution:

If a subset is formed by taking some emements from the given set then the subset is called proper subset.

(b) Write the improper subset of L.

Solution:

Improper subst of L = {a, b, c }

(c) If e, i, o, u are the members of set M only then what type of set are L and M, write with reason.

Solution:

(c) If e, i, o, u are the members of set M only then set are L and M are disjoint sets because they do not have any common element

2. Ramdev went to the utensil shop to buy a presser cooker. The marked price of a presser cooker is Rs. 3900.
(a) If marked price and discount are represented by MP and D respectively, write the formula to find the discount percent.

Solution: \[\text{Discount percent } = \frac{\text{D}}{\text{MP}} \times 100\% \]

(b) How much discount did Ramdev get while buying a pressure cooker on discount of 7%?

Solution: \begin{align*} \text{Discount} & = D\% \text{ of } MP \\ & = 7\% \text{ of } 3900 \\ & = \frac{7}{100} \times 3900 \\ & = \text{Rs } 273 \end{align*}

(c) The shopkeeper got 17% profit after selling them at 7% discount. What was the cost price of the pressure cooker ?

Solution: \begin{align*} \phantom{or, } & SP = SP \\ \text{or, } & (100 + P\%) of CP = MP - D \\ \text{or, } & 117\% of CP = 3900 - 273 \\ \text{or, } & \frac{117}{100} \times CP = 3627 \\ \text{or, } & 117 CP = 362700 \\ \text{or, } & CP = \frac{362700}{117} \\ & \therefore CP = \text{Rs }3100 \end{align*}