On selling mangoes at 36 for a rupee, a shopkeeper loses 10%. How many mangoes…
2024
On selling mangoes at 36 for a rupee, a shopkeeper loses 10%. How many mangoes should he sell for a rupee in order to gain 8%?
- A.
54
- B.
30
- C.
40
- D.
24
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Show answer & explanation
Correct answer: B
Key insight: find the cost price per mango from the loss information, then compute the selling price per mango needed for an 8% gain and invert to get mangoes per rupee.
Find cost price (CP) of 36 mangoes: Since selling 36 for Rs 1 gives a 10% loss, CP of 36 = 1 × (100/90) = 10/9 rupee.
CP per mango = (10/9) ÷ 36 = 10/324 = 5/162 rupee.
For an 8% gain, SP per mango = CP × (108/100) = (5/162) × (108/100) = 1/30 rupee.
Number of mangoes to sell for Rs 1 = 1 ÷ (1/30) = 30 mangoes.
Answer: 30 mangoes.