Multiple choice

A shopkeeper offered a discount of 10% on a mixture grinder. Sohan bought it during a clearance sale at 6% discount over the already discounted price at Rs. 4230. What was the original marked price of the mixture grinder?

  1. Rs. 4800

  2. Rs. 5500

  3. Rs. 6000

  4. Rs. 5000

  5. Rs. 4320
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the marked price be x. After a 10% discount, the price is 0.9x. After a further 6% discount on that, the price is 0.9x * 0.94 = 0.846x. Setting 0.846x = 4230 gives x = 4230 / 0.846 = 5000.

AI explanation

Let the original marked price be M; the initial 10% discount makes the price 0.90 times M. The subsequent 6% discount means Sohan paid 94% of the already discounted price, giving the equation 0.94 times 0.90 times M equals 4230. Multiplying 0.94 by 0.90 gives 0.846, so 0.846 times M equals 4230. Dividing 4230 by 0.846 results in an original marked price of Rs. 5000.

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