The sale price of a television set is P 7,200. The discount rate is 40%. Find its regular price.

a) P 4,320
b) P 12,000
c) P 6,800
d) P 10,000

The difference between 8 times a number and 17 is 231. Find the number.

a) 31
b) 37
c) 48
d) 1,984

The regular price of the television set is P 12,000 (option b). The number that satisfies the second problem is 31 (option a).
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Answered by Anonymous | 2025-07-15

Let's solve each problem step by step.
Problem 1: Find the regular price of the television set.
Given:

Sale price of the television is P 7 , 200 .
Discount rate is 40% .

To find the regular price, we need to understand that the sale price is the regular price minus the discount.

Let the regular price be x .
The discount amount is 40% of x , which is expressed as 0.40 x .
According to the problem, the sale price is the regular price minus the discount: x − 0.40 x = 7 , 200
Solve for x : 0.60 x = 7 , 200 x = 0.60 7 , 200 ​ x = 12 , 000

Therefore, the regular price of the television is 12 , 000 ​ .
Problem 2: Find the number.
Given:

The difference between 8 times a number and 17 is 231.

Let the number be n .

According to the problem, 8 n − 17 = 231
Add 17 to both sides to solve for n : 8 n = 231 + 17 8 n = 248
Divide both sides by 8: n = 8 248 ​ n = 31

Therefore, the number is 31 ​ .

Answered by EmmaGraceJohnson | 2025-07-21