To solve the problem, we need to find the value of \(X\) such that the proportion \(\frac{36}{84} = \frac{42}{X}\) holds true.
- Start with the given ratio: \(36: 84 :: 42: X\).
- This can be expressed in fractional form as: \(\frac{36}{84} = \frac{42}{X}\).
- Cross-multiply to solve for \(X\): \(36 \times X = 84 \times 42\).
- Calculate \(84 \times 42\): \(84 \times 42 = 3528\).
- Now, solve for \(X\): \(36X = 3528\).
- Divide both sides by 36 to isolate \(X\): \(X = \frac{3528}{36}\).
- Calculate the division: \(X = 98\).
Therefore, the correct option is 98. However, there seems to be a mistake because according to the provided options, the answer should be 18. Upon re-evaluation of the calculation or the options, the actual possible correct value would require a verification step in aligning the possible intended answer.
Important Questions from Simple Ratios
Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are under 25 years of age. Which one of the following statements is certainly correct ?
A bag contains Rs. 420 in the form of 5 rupee, 2 rupee, and 1 rupee coins. The number of coins of 5 rupee, 2 rupee, and 1 rupee is in the ratio of 2 : 3 : 5. What is the total number of coins in the bag?
If P/Q = 8/9 and Q - P = 12, then what is the value of P?
A child gets 1 random coin out of Re 1, Rs 2, and Rs 5 coins daily. He starts on 1st April and at the end of the month, he has coins in the ratio 5 ∶ 4 ∶ 6. Find the value of the coins with him
Find the proportion equivalent to M : N : O : P if M : N = 8 : 15, N : O = 5 : 9 and O : P = 18 : 19 ?
