Question

Mark (✓) against the correct answer
On reducing the value of a chair by 6% it becomes Rs 658. The original value of the chair is

(a) Rs 750
(b) Rs 720
(c) Rs 500
(d) Rs 700

Answer 1

(d) Rs. 700
Let us assume that the original price of the chair is Rs x.
Reduce percentage on the chair = 6%
So, value of reduction on the chair = 6% of Rs. x
= Rs $\left(\frac{6}{100}\times x\right)$ = Rs $\left(\frac{3x}{50}\right)$
Reduced price of the chair = Rs $\left(x-\frac{3x}{50}\right)$
= Rs $\left(\frac{50x-3x}{50}\right)$ = Rs $\left(\frac{47x}{50}\right)$
However, present price of the chair = Rs 658
Then, Rs $\left(\frac{47x}{50}\right)$ = Rs 658
⇒ Rs $\left(\frac{47x}{50}\right)$ = Rs 658
⇒ x = Rs $\left(\frac{658\times 50}{47}\right)$ = Rs $\left(14\times 50\right)=700$
Hence, the original price of the chair is Rs 700