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$R a d h i k a space s p e n t space space 1 half space o f space h e r space s a l a r y space p a y i n g space i n s t a l m e n t comma space fraction numerator 1 over denominator 3 space end fraction o n space c o n v e y a n c e comma space a n d space g a v e space t h e space r e m a i n i n g space m o n e y space a s space d o n a t i o n. space i f space s h e space d o n a t e d space ₹ 500 comma space h o w space m u c h space m o n e y space d i d space s h e space g e t space a s space h e r space s a l a r y space a n d space h o w space m u c h space d i d space s h e space s p e n d space o n space i n s t a l m e n t s ?$

Asked by prahladsumi | 21 May, 2019, 01:10: PM

Expert Answer

Let Radhika's salary be Rs. x.

Amount spent by Rashika spent in installment = (1/2)x ... (i)

Amount spent by Rashika spent in conveyance = (1/3)x ... (ii)

Reaminig moner given by Radhika as donation = Rs. 500 ... (iii)

From (i), (ii) and (iii), we get

begin mathsize 16px style rightwards double arrow 1 half straight x space plus space 1 third straight x space plus space 500 space equals space straight x rightwards double arrow straight x open parentheses 1 half plus space 1 third close parentheses space plus space 500 space equals space straight x rightwards double arrow space straight x space minus space fraction numerator begin display style 5 end style over denominator begin display style 6 end style end fraction straight x space equals space 500 rightwards double arrow space 1 over 6 straight x space equals space 500 rightwards double arrow straight x space equals space 3000 space end style

Therefore Radhika's salary is Rs. 3000 and she spent (1/2)3000 = Rs. 1500 in installment.

Answered by Yasmeen Khan | 21 May, 2019, 01:50: PM

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