Question

Ram sold an article to mohan at 10% gain and mohan sold it to shyam at 10% loss.if shyam paid ₹990 for the article,find: (i) C.P and S.P of the article for mohan (ii) S.P and C.P of the article for ram

Answer 1

Question:-

Ram sold an article to mohan at 10% gain and mohan sold it to shyam at 10% loss.if shyam paid ₹990 for the article,find:

• (i) C.P and S.P of the article for mohan
• (ii) S.P and C.P of the article for ram

Required Answer:-

Given:-

• Ram sold an article to Mohan at 10% gain.
• Mohan sold the article to Shyam at 10% loss.
• Shyam paid ₹ 990 for the article.

To Find:-

• C.P and S.P of the article for mohan
• S.P and C.P of the article for ram

Solution:-

As, Shyam bought the article from Mohan and paid ₹990,

• Mohan's selling price (S.P.) = ₹990

Now, we are given that Mohan sold the article at 10% loss.

We know that:-

• Cost price (C.P.) = {100/(100 - loss%)} × S.P.

Here we have:-

• Loss = 10%
• Selling price (S.P.) = ₹990

Substituting the values:-

• C.P. -> {100/(100 - 10)} × 990
• C.P. -> (100/90) × 990
• C.P. -> 1100

Hence, Mohan's S.P. is ₹990 and C.P. is ₹ 1100

Again,

As, Mohan bought the article from Ram,

• Ram's selling price S.P. is ₹1100

We are given that Ram sold the article at 10% gain.

We know that:-

• Cost price (C.P.) = {100/(100 + gain%)} × S.P.

Here we have:-

• Gain = 10%
• Selling price (S.P.) = ₹1100

Substituting the values:-

• C.P. -> {100/(100 + 10)} × 1100
• C.P. -> (100/110) × 1100
• C.P. -> 1000

Hence, Ram's S.P. is ₹1100 and C.P. is ₹1000

Final Answers:-

• Mohan's S.P. is ₹990 and C.P. is ₹ 1100
• Ram's S.P. is ₹1100 and C.P. is ₹1000