Multiple choice

Swati went shopping to buy a watch with some money. She selected a watch, which is marked Rs.400 higher price than the money she had. But shopkeeper gave two successive discounts of 10% and 15% respectively on the marked price of the watch. Then she could buy that watch and also another watch worth Rs.540 with all the money she had. Then what is the marked price on the first watch?

  1. Rs. 3060

  2. Rs. 3600

  3. Rs. 4000

  4. Rs. 4200

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M be the marked price. The cost price is M - 400. After discounts of 10% and 15%, the price is M * 0.9 * 0.85 = 0.765M. The equation is 0.765M = (M - 400) + 540, which simplifies to 0.765M = M + 140. This yields a negative price, suggesting an error in the problem statement or interpretation; however, checking the options, 4000 works if the discount logic or equation setup differs.

AI explanation

Let Swati's initial money be M and the marked price be MP, so MP equals M plus 400. The final price after successive discounts of 10% and 15% is MP times 0.90 times 0.85, which equals 0.765 times MP. Because Swati spent her exact money to buy this and another watch worth Rs. 540, the equation is 0.765 times MP plus 540 equals MP minus 400. Solving this equation gives 940 equals 0.235 times MP, meaning the marked price is Rs. 4000.

Keep practicing — related questions