The sum of allowances received by Riddhi and Siddhi together was Rs. 3,800/?. Riddhi and Siddhi both paid 2/8th of their respective allowances as their tuition fees. If the tuition fees paid by Siddhi was more than that paid by Riddhi, by Rs. 80/?, how much was Riddhi?s allowances ?
The sum of allowances received by Riddhi and Siddhi together was Rs. 3,800/?. Riddhi and Siddhi both paid 2/8th of their respective allowances as their tuition fees. If the tuition fees paid by Siddhi was more than that paid by Riddhi, by Rs. 80/?, how much was Riddhi?s allowances ?
1). Rs. 1,800/
2). Rs. 1,740/
3). Rs. 1,640/
4). Rs. 1,840/
2 answers
Let Riddhi's allowance = Rs. $8x$
=> Siddhi's allowance = Rs. $(3800 - 8x)$
Allowance paid as tuition fees by
Riddhi = $\frac{2}{8} \times 8x = 2x$
Siddhi = $\frac{2}{8} \times (3800 - 8x) = 950 - 2x$
Acc to ques,
=> $(950 - 2x) - (2x) = 80$
=> $950 - 4x = 80$
=> $4x = 950 - 80 = 870$
=> $x = \frac{870}{4}$
$\therefore$ Riddhi's allowance = $8 \times \frac{870}{4}$
= $2 \times 870$ = Rs. $1,740$
Let Riddhi's allowance = Rs. $8x$
=> Siddhi's allowance = Rs. $(3800 - 8x)$
Allowance paid as tuition fees by
Riddhi = $\frac{2}{8} \times 8x = 2x$
Siddhi = $\frac{2}{8} \times (3800 - 8x) = 950 - 2x$
Acc to ques,
=> $(950 - 2x) - (2x) = 80$
=> $950 - 4x = 80$
=> $4x = 950 - 80 = 870$
=> $x = \frac{870}{4}$
$\therefore$ Riddhi's allowance = $8 \times \frac{870}{4}$
= $2 \times 870$ = Rs. $1,740$
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