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A depositor deposited Tk. 4,000 at x% simple interest and Tk. 5,000 at y% simple interest. He received annual interest of Tk. 320 on his deposited amounts at the year end. If he could deposit Tk. 5,000 at x% simple interest and Tk. 4,000 at y % simple interest, he would receive annual interest of Tk. 310. Find the value of x and y.

Created: 4 weeks ago | Updated: 2 weeks ago

Job Solution Dhaka Bank Ltd Dhaka Bank Ltd. Recruitment Test for TACO Examination Held On: 12.01.2018 || 2018 গণিত

$w e k n o w, I = \frac{p r t}{100}, w h e r e I = I n t e r e s t; p = P r i n c i p a l; T = t i m e H e r e, a c c o r d i n g t o q u e s t i o n f o r 1^{s t} & 2^{n d} p a r t \frac{4000 \times x \times 1}{100} + \frac{5000 \times y \times 1}{100} = 320 . . . . . . . (i) a n d, \frac{5000 \times x \times 1}{100} + \frac{4000 \times x \times 1}{100} = 310 . . . . . . . (i i) N o w, f r o m (i) w e h a v e, \frac{4000 x}{100} + \frac{5000 y}{100} = 320 \Rightarrow \frac{4000 x + 5000 y}{100} = 320 \Rightarrow 4000 x + 5000 y = 320 \times 100 \Rightarrow 4 x + 5 y = 32 . . . . . . . . (i i i) a g a i n, f r o m (i i) w e h a v e, \frac{5000 x}{100} + \frac{4000 y}{100} = 310 \Rightarrow \frac{5000 x + 4000 y}{100} = 310 \Rightarrow 5000 x + 4000 y = 310 \times 100 \Rightarrow 1000 (5 x + 4 y) = 31 \times 1000 \Rightarrow 5 x + 4 y = 31 . . . . . . . (i v) N o w, w e h a v e (i i i) \times 4 \Rightarrow 16 x + 20 y = 128 (i v) \times 5 \Rightarrow 25 x + 20 y = 155 \Rightarrow - 9 x = - 27 x = \frac{- 27}{- 9} N o w, p u t t i n g x = 3 i n (i i i) (4 \times 3) + 5 y = 32 \Rightarrow 12 + 5 y = 32 \Rightarrow 5 y = 32 - 12 \Rightarrow 5 y = 20 \Rightarrow y = \frac{20}{4} = 4$

The required value, x= 3 & y = 4 .

4 weeks ago

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A triangular plot with sides of 25 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?