Question
Percentage Spent on
Travel: Anika and Bhavya invested the same amount, Rs. (P), in two different schemes, C and D, respectively, for 2 years. Scheme C offers a 15% simple rate of interest, while Scheme D offers a 15% annual compound rate of interest. The difference between their interest amounts is Rs. 4050. Out of the total interest received by Anika, she spent (Q)% on travel, 30% on electronics, 20% on home decor, and the remaining Rs. 8000 she saved. From the total amount Anika spent on electronics, she spent Rs. (R) on a new laptop. With the remaining amount, she bought a smartphone at a 25% discount, which was marked Rs. 4000.Solution
Spending: The total interest received by Ankita is calculated as (180,000 * 15 * 2)/100 = Rs. 54,000. Ankita spends 30% + 20% = 50% of the total interest on electronics and decor together, which amounts to (50/100) * 54,000 = Rs. 27,000. The remaining amount spent on traveling is 54,000 - (27,000 + 8000) = Rs. 19,000. To find the percentage Q of the total interest spent on traveling- Q = (19,000 * 100)/54,000, which simplifies to Q = 35. Answer: d)
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