Question

Mohan, Sohan and Mahesh are standing in a queue. Mohan’s height is 9 10 of the height of Sohan, Sohan’s height is 4 3 of the height of Mahesh. If Mahesh’s height is 180 cm, find the height of Sohan and Mohan.

Answer 1

Solution :

Mohan, Sohan and Mahesh are standing in a queue.

Mohan’s height is 9/10th of the height of Sohan.

Sohan’s height is 4/3th of the height of Mahesh.

If Mahesh’s height is 180 cm, we have to find the height of Sohan and Mohan.

Let us assume initially that the height of Mahesh is λ cm .

Height of Sohan :

>> 4/3 (λ) = 240 cm .

Height of Mohan :

>> 9/10 × 4/3 (λ)

>> 1.2(λ) = 216 cm .

Answer :

The height of Sohan and Mohan are 240 cm and 216 cm respectively .

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Answer 2

Given : Mohan, Sohan and Mahesh are standing in a queue. Mohan’s height is 9/10 of the height of Sohan, Sohan’s height is 4/3 of the height of Mahesh. If Mahesh’s height is 180 cm, find the height of Sohan and Mohan.

Need to Find : The height of Sohan and Mohan

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★ Cᴏɴᴄᴇᴘᴛ :

According to the question, here we are provided with the height of Mahesh which is 180 cm and then we are given that Sohan is 4/3 of Mahesh. After which getting Sohan's height we need to get Mohan's height which is 9/10 of Sohan's height using the same process.

★ Sᴏʟᴜᴛɪᴏɴ :

Givan that Mahesh's height is 180 cm

➛ Sohan's height is 4/3 of Mahesh's Height

∴ Sohan's height = 4/3 of 180 cm = 240 cm

Hence, Sohan's height is 240 cm

➛ Now, we are given that Mohan's height is 9/10 of Sohan's

∴ Mohan's height = 9/10 of 240 cm = 216 cm

• Sohan's height is 240 cm

• Mohan's height is 216 cm