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Question:

Arnav sells his goods 10% cheaper than Bishnoi and 10% dearer than Chetan. A customer purchases goods worth Rs. 11,200 from Arnav. What will be the profit or loss for him to buy half of the goods from Bishnoi and half of the goods from Chetan?

Explanation:

SP of Arnav = Rs. 11,200

SP of Arnav = 90% of SP of Bishnoi

∴ SP of Bishnoi = $\frac{11200}{90}$ × 100 = $\frac{112000}{9}$

⇒ SP of Bishnoi for half the goods = $\frac{112000}{9 \times 2}$ = Rs. $\frac{56000}{9}$

Similarly, SP of Chetan = $\frac{11200}{110}$ × 100 = Rs. $\frac{112000}{11}$

⇒ SP of Chetan for half the goods = $\frac{112000}{11 \times 2}$ = Rs. $\frac{56000}{11}$

Total SP of Chetan and Bishnoi = $56000 (\frac{1}{9} + \frac{1}{11})$ = $\frac{1120000}{99}$

∴ Cost for the customer will be more when he purchases from Chetan and Bishnoi by

Rs. $(\frac{1120000}{99} - 11200)$ = Rs. 11200 $(\frac{100}{99} - 1)$

Rs. $\frac{11200}{99}$ = Rs. 113.13 loss.

Hence, option (c).

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