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Q.

Arjun wants to invest Rs.15,000 in two types of bonds. He earns 12% in the first type and 15% in the second. His investment in 15% bond, if he has a total earning of Rs 1,950 is 


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a

Rs 10,000

b

Rs 5,000

c

Rs 6,000

d

Rs 7,000

answer is B.

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Detailed Solution

Concept-
We are given a total investment in the question, which has been divided into two parts, along with the earnings on each of those sections. He must determine the amount of the second investment while also taking into account the total profit from the investment. In these kinds of issues, we assume that one portion of the total investments is variable and that the other portion represents the difference between the total investments and the first portion. Then, if the questions have provided the total earning, we create equations in accordance with the questions, find the earning from the percentage in terms of the variable assumed, add both earnings, and compare it to the total earning provided, and then solve the equation to determine the value of the variable.
Suppose Arjun invested x in a 12-percent bond and y in a 15-percent bond (15000-x)
1950 total earnings are equal to 12 percent of total earnings=https://lh3.googleusercontent.com/tWcHt59VyLY9pre1xrglAPzyEXavSUmoz4DPkZFIuWIJvmsf4xenp18uR9EOmIuGBlK7TkwFaFsWlmUj2r5_53F-dsee2Ia8mX1TFZHmM5nesLyNjg_LL2bHc-M48uvje-UhJxRWvr9lGMVmkZkE4g=https://lh6.googleusercontent.com/IaqBZKJDjNvORZegKco_xyV5yaONbvYHL_nphrDgP5PRm87X3IDxnQhbeedfM_KqaqpPUtFPajoBQRwX3-J16Da8Qet415oEvkZzMde0H4eYSvRNEh8bZxv9qmlunqQXjB-D_lCx_Pee7K-ElaUcZw15 percent bond earnings are = https://lh5.googleusercontent.com/hVT6jL836B8X-60iZ2bzcl0IAS53WS0yEyC59FhGLBH3D8xryio0P9-O67c1qyURQDdfOGuuBZMOmEmtHVz5XpQJrAhRTqwLJtvghwLs0SXBWC_3zADk_BfMZfqAj_lGxvtXnnWrpXkVKbPPinpdxgFrom the question, https://lh4.googleusercontent.com/XMj0yh0EDTCmc0JCaLBGpiO1AIYzvjz5WcC-eMQysSoqZZ7tb2Z5ndfUrNX74WToQVM1QrjbhOPrx1uEWomeOST24b3y1272QVinHCPch_p8ZPQ5jSI74wBzLPzY0NnRbBdEYZM4NCyE1LAt84HGZAAs a result, his investment in a 15 percent bond is worth https://lh6.googleusercontent.com/DV-Y9gj0gLdNFS2G_b5x-3T9r6Q5yZWpfczfY0Dl8hiPs_fRcYmP7mbxA_2s7k9kY0WWpRda5I6l0N2rSif6yhWYPLGnJWAZm6tXAla3-_g2NBHLFmbQtHrsIcVsPn6ikmqcLhtN46AJl9s2kFUqaAHence, the correct answer is option 2) Rs. 5000
 
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