Question

13. 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.

(if anybody knows please type full explanation)​

Answer 1

Step-by-step explanation:

Ashok purchased a radio set at Rs. 600

Let's see how it happens,

Let's solve it in a reverse manner,

Shyam had sold radio set at Rs. 675 (Mohan paid Rs. 675 means definitely it will be CP of Mohan and SP of Shyam) by incurring loss of 10%.

Note:

Loss = (1-SP/CP)*100

Profit = (SP/CP-1)*100

CP - Cost Price SP - Selling Price

Here, Shyam incurred a loss. So,

10 =(1–675/CP)*100

So, on solving we get CP = 750

Here, it's a CP of Shyam, which means it will be the SP of Ashok.

We know that, Ashok sold it to the Shyam at a profit of 25%. (SP = 750)

25 = (750/CP-1)*100

So, on solving we get CP = 600.

Answer 2

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