10. एउटा रङ्गीन टिभी [tex]$10 \%$[/tex] छुटमा किन्दा रु. 13950 प¥यो । (A colour TV cost Rs. 13950 after [tex]$10 \%$[/tex] discount.)

a. टिभीको अङ्कित मूल्य पत्ता लगाउनुहोस् । (Find the marked price of the TV.)
[tex]\[ [2] \][/tex]
Ans: Rs. 15500

b. उसले कति रकम छुट पाएछ ? (How much money did he get as a discount?)
[tex]\[ [1] \][/tex]
Ans: Rs. 1550

c. यदि छुट नपाएको अवस्थामा उसले उक्त टिभीलाई कति तिर्नु पर्थ्यो ? (If discount is not allowed, how much should he pay for the TV?)
[tex]\[ [1] \][/tex]
Ans: Rs. 15500



Answer :

Let's solve the problem step-by-step:

a. टिभीको अडिकित मूल्य पत्ता लगाउनुहोस् । (Find the marked price of the TV.)
Given that the TV costs Rs. 13950 after a 10% discount. We need to find the original marked price of the TV.

1. Let's denote the marked price as `M`.
2. According to the problem, the relationship based on the 10% discount can be formulated as:
[tex]\[ \text{Marked Price} - (\text{Marked Price} \times 10\%) = \text{Selling Price} \][/tex]
3. Substituting the given data:
[tex]\[ M - 0.1M = 13950 \][/tex]
Simplifying, we get:
[tex]\[ 0.9M = 13950 \][/tex]
4. Solving for `M`:
[tex]\[ M = \frac{13950}{0.9} = 15500 \][/tex]
Therefore, the marked price of the TV is Rs. 15500.

b. उसले कति रकम छुट पाएछ? (How much money did he get as discount?)
We need to calculate the amount of money he got as a discount.

1. The discount amount is 10% of the marked price.
2. Substituting the marked price value:
[tex]\[ \text{Discount} = 0.1 \times 15500 = 1550 \][/tex]
Therefore, he received a discount of Rs. 1550.

c. यदि छुट नपाएको अवस्थामा उसले उक्त टिभीलाई कति तिर्नु पर्थ्यो? (If discount is not allowed, how much should he pay for the TV?)
If no discount was given, he would need to pay the full marked price of the TV.

1. From part (a), we know the marked price is Rs. 15500.

Therefore, without a discount, he would need to pay Rs. 15500 for the TV.

In summary:
a. The marked price of the TV is Rs. 15500.
b. He received a discount of Rs. 1550.
c. Without any discount, he would need to pay Rs. 15500.