Question

Arpit sold a watch at a gain of 5% to Mohit and Mohit sold it to Rohit at a gain of 5% if Rohit paid rupees 91 for it then find the cost price of Arpit's watch​​?​

Answer 1

Answer:

Given -

Arpit sold a watch at a gain of 5% to Mohit.

Mohit sold it to Rohit at a gain of 4%.

Rohit paid rupees 91 for it.

To Find -

The cost price of arpit's watch.

Solution -

Consider the -

Cost price of watch as - Rs.100.

Selling price of watch for Arpit :

⇒ 100 + 5.

⇒ Rs.105

Now,

SP for Arpit = CP for Mohit.

So, Mohit sold watch at a gain of 4%.

Selling price of watch for Mohit :

⇒ 105 + 4% of 105

⇒ 105 + 4.20

⇒ Rs.109.20

Now, Selling price of watch for Mohit = CP of watch for Rohit.

So,

Rohit paid Rs,109.20, when CP = Rs.100

Rohit paid Rs.1, when CP :

⇒100/109.20

Rohit paid Rs.91, when CP :

⇒100/109.20×91

⇒ Rs.83.33

∴ The cost price of watch is Rs.83.33.

Step-by-step explanation:

$Hope \: it \: helps \: uh...$

Answer 2

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Step-by-step explanation:

Given -

Arpit sold a watch at a gain of 5% to Mohit.

Mohit sold it to Rohit at a gain of 4%.

Rohit paid rupees 91 for it.

To Find -

The cost price of arpit's watch.

Solution -

Cost price of watch as - Rs.100.

Selling price of watch for Arpit :

⇒ 100 + 5.

⇒ Rs.105

Now,

SP for Arpit = CP for Mohit.

So, Mohit sold watch at a gain of 4%.

Selling price of watch for Mohit :

⇒ 105 + 4% of 105

⇒ 105 + 4.20

⇒ Rs.109.20

Now, Selling price of watch for Mohit = CP of watch for Rohit.

So,Rohit paid Rs,109.20, when CP = Rs.100

Rohit paid Rs.1, when CP :

⇒ 100/109.20

Rohit paid Rs.91, when CP  :

⇒ 100/109.20 × 91

⇒ Rs.83.33

∴ The cost price of watch is Rs.83.33.

Answer : Rs. 83.33

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I hope my answer helps you....✌