Multiple choice

Arun bought a washing machine at a successive discount of 50%+50% but if he had bought it at 60%+40% discount then he would have got Rs. 120 more as discount then find the marked price of the washing machine? अरुण एक वाशिंग मशीन को 50%+50% की क्रमागत छूट पर खरीदता है, यदि वह 60%+40% की छूट पर खरीदे तो रू. 120 की अधिक छूट प्राप्त करेगा, वाशिंग मशीन का अंकित मूल्य ज्ञात कीजिये?

  1. 10000

  2. 14000

  3. 12000

  4. 16000

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let marked price = M. Discount 1 (50%+50%): After 50% off, price = 0.5M. After another 50% off, final = 0.25M. Discount = 0.75M. Discount 2 (60%+40%): After 60% off, price = 0.4M. After 40% off, final = 0.24M. Discount = 0.76M. Difference in discounts = 0.76M - 0.75M = 0.01M = Rs. 120. So M = 120/0.01 = Rs. 12000. Option C is correct. Option A (Rs. 10000), B (Rs. 14000), and D (Rs. 16000) don't satisfy the condition.