Question

The prices of three articles A, B and C are in the ratio 3:6:5. If their total price is ₹ 98, find the price of article C.



₹34

₹35

₹36

₹37

​

Answer 1

Ratio of the prices of three articles =3:6:5

Price of all three articles added together = ₹ 98

Which means :-

(i) Price of article A :-

$= \frac{3}{14} \times 98$

$= \frac{294}{14}$

$=\bold{₹ \: 21}$

Thus, the price of article A = ₹ 21

(ii) Price of article B :-

$= \frac{6}{14} \times98$

$= \frac{588}{14}$

$=\bold{₹ \: 42}$

Thus, the price of article B = ₹ 42

(iii) Price of article C :-

$= \frac{5}{14} \times 98$

$= \frac{490}{14}$

$=\bold{₹ \: 35}$

Thus, the price of article C = ₹ 35

As the price of all three of these articles is adding up to from 98, we can conclude that we have found out the correct price of each of the articles.

Therefore, the correct option is :-

$\bold{(b) \: ₹ \: \: 35}$

Answer 2

Question:-

The prices of three articles A, B and C are in the ratio 3:6:5. If their total price is ₹ 98, find the price of article C.

a) ₹34

b) ₹35

c) ₹36

d) ₹37

Answer:-

• Price of article C is ₹35.

Solution:-

• Ratio = 3:6:5

Put x in the ratio:-

• Price of A = 3x
• Price of B = 6x
• Price of C = 5x

• Sum = ₹98

$\large{ : \implies \: 3x + 6x + 5x = 98}$

$\large{ : \implies \: 14x = 98}$

$\large{ : \implies \: x \: = \frac{98}{14}}$

$\large{ : \implies \: x = 7}$

• The value of x is ₹7.

Hence,

• Price of A = 3x = 3×7 = ₹21
• Price of B = 6x = 6×7 = ₹42
• Price of C = 5x = 5×7 = ₹35

The correct option is (b).