Question

arpit sold a watch at a gain of 5% to Mohit and Mohit sold it to Rohit at a gain of 4%. if Rohit paid rupees 91 for it, then find the cost price of arpit's watch.​

Answer 1

Answer:

The cost price of watch is Rs.83.33.

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 -

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 :

⇒ $\dfrac{100}{109.20}$

Rohit paid Rs.91, when CP  :

⇒ $\dfrac{100}{109.20}$ × 91

⇒ Rs.83.33

∴ The cost price of watch is Rs.83.33.

Answer 2

$\huge\sf{Answer:-}$

Given:-

Arpit sold a watch at a gain of 5% to Mohit and Mohit sold it to Rohit at a gain of 4%. if Rohit paid rupees 91 for it, then find the cost price of arpit's watch.

Find:-

find the cost price of arpit's watch.

Hence:-

100 + 5 = 105

Hence:-

Aprit is for Selling Price (SP)

Mohit is for Cost Price (CP)

Hence:-

$\sf = 100 + 4 = 105 \\ \sf = 105 + 4.20 \\ \sf = 109.20$

$\sf = \frac{100}{109.20} \\ \sf = \frac{100}{109.20} \times 91 \\ \bf = 83.33$

Therefore , 88.33 is the cost price of arpit's watch.

$\bf\black{S.}$$\bf\red{Nayan}$$\bf\blue{Shreyas...}$