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Mohit sold a watch to Karim and earned a profit of 10% and Karim sold it to Rahim and earned a profit of 4% . If Rahim pays Rs 14300 for it, which of the following would be the price at which Mohit purchased it for?

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Rs. 12500

Rs. 25000

Rs. 17500

Rs. 15000

answer is A.

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Detailed Solution

Given that, Mohit sold a watch to Karim and earned a profit of 10% and Karim sold it to Rahim and earned a profit of 4% and Rahim pays Rs. 14300 for it.
We have the following formulas,
S.P=selling price.
C.P=cost price.
Gain=S.P-C.P

G a i n % = S . P − C . P C . P × 100

Loss=C.P-S.P

L o s s % = C . P − S . P C . P × 100

Let the C.P of watch for Karim be Rs. ‘a’.
The S.P of watch for Mohit is the C.P for Karim.
Therefore, S.P of the watch for Mohit is,

= x + 110 x 100 = 210 x 100

S.P of the watch for Karim is,

= 104 x 100 × 210 x 100

We are given that, S.P of the watch for Karim is C.P for Rahim.
The C.P for Mohit is,

⇒ 104 x 100 × 210 x 100 = 14300 ⇒ x = 143 × 100 × 100 104 × 210 ⇒ x = 12500

The C.P for Mohit is Rs 12500.
Therefore the correct option is 1.

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